Ultimate Mathematical Library

Mathematica Navigator: Mathematics, Statistics and Graphics, Third Edition

2009-11-11T21:17:00.000-08:00

Mathematica Navigator: Mathematics, Statistics and Graphics, Third EditionBy Heikki Ruskeepaa
Publisher: Academic Press
Number Of Pages: 1136
Publication Date: 2009-03-20
ISBN-10 / ASIN: 0123741645
ISBN-13 / EAN: 9780123741646 ReviewPraise for the 2nd Edition: "Each [chapter] is a gem of clarity and concise application, but space limits the praise. If the book has any failings, it is in leaving the reader begging for more." - John A. Wass, Scientific Computing "Novices or beginners who may be students of engineering, science or mathematics ... definitely needs Mathematica Navigator. ... Those who do not use Mathematica everyday, and may work with it for a period of time and then not again for several weeks or more ... finds that Mathematica Navigator is totally indispensable. ... Finally, some users are constantly working with Mathematica, probably teaching courses or writing programs ... should definitely have Mathematica Navigator. ... Run, do not walk, to get your copy." - Robert M. Lurie, Mathematica in Education and Research "The present book is one of the best sources in many respects: its perfect layout, carefully thought-of exposition of the fine points of the software, sophisticated and illuminating examples that are all available on the accompanying CD-ROM. The topics discussed cover many topics which occur in the first two or three years of universioty curriculum in Mathematics such as calculus in single and several variables, linear algebra, differential equations, numerical analysis, partial differential equations." - Matti Vuorinen, Zentralblatt MATH "The book is a must for all beginners in Mathematica, and a great help as a reference for those who already know Mathematica." - K. Waldhor, Computing Reviews "... does a fantastic job at introducing Mathematica for the applied scientist. The book's use of Mathematica is slick, intelligent and comprehensive. It emphasizes Mathematica's strengths, and does it in the best possible way." - Joaquin Carbonara, Buffalo State University "This is an excellent reference book that I would recommend to any one who is thinking about becoming (or already is) a serious user of Mathematica ... I am particularly impressed by the organization which allows a mathematician to approach Mathematica by specific mathematical topics rather than using the organization of Wolfram's Mathematica Book. In addition, I find that the text is clearly written and the examples are well-chosen." - Bill Emerson, Metropolitan State University "There is a great need for this book. The outstanding feature of Mathematica Navigator is the great variety of Mathematica programs." - Mike Mesterton-Gibbons, Florida State University "Mathematica Navigator is packed with excellent examples ... an invaluable companion to any textbook for most Mathematica-enriched courses." - Fred Szabo, Concordia University --Matti Vuorinen, Zentralblatt MATH

Download : http://rapidshare.com/files/269712227/0123741645_Mathematica_Navigator.rar

The EScience Library

2009-11-11T01:56:00.001-08:00

We now make a new library, it covers mathematics, physics, chemistry, biology , etc.
The url is : http://science-lib.blogspot.com
Hope you'll love it.

Speculative Philosophy

2009-11-09T20:05:00.000-08:00


	by: Donald Phillip Verene en \| Lexington Books

Speculative Philosophy
by: Donald Phillip Verene

* Publisher: Lexington Books
* Number Of Pages: 190
* Publication Date: 2009-04-28
* ISBN-10 / ASIN: 0739136593
* ISBN-13 / EAN: 9780739136591

Synopsis

In this illuminating volume, Donald Phillip Verene challenges philosophy to pass beyond the limits of criticism and reflection toward a form of speculative philosophy that express the Hegelian sense in which the True is the whole and the Socratic sense in which the aim of philosophy is self-knowledge.

Contents
Preface ix
Introduction: On Philosophical Tetralogy xv
1 The Canon of the Primal Scene in Speculative Philosophy 1
2 Philosophical Pragmatics 13
3 Putting Philosophical Questions (in)to Language 23
4 Absolute Knowledge and Philosophical Language 35
5 The Limits of Argument: Argument and Autobiography 47
6 Philosophical Aesthetics 55
7 Philosophical Memory 69
8 Culture, Categories, and the Imagination 83
9 Metaphysical Narration, Science, and Symbolic Form 97
10 Myth and Metaphysics 109
Notes 127
Index 145
The Author 149

Preface
ix
In a footnote to the preface to the first edition of the Critique of Pure Reason,
Kant claims: “Our age is, in especial degree, the age of criticism, and to criticism
everything must submit.” Reflective critical thinking is the slogan of modern
philosophy. Whether practiced as deconstruction, analytic metaphysics, or critical
theory, philosophy stands by this slogan. We wander in the Dantean dark
wood, sorting out truths from error, and then, because for every argument it is
not beyond human wit to create a counter-argument, resorting them. Critical
thinking is driven by a fear of error. It is unable to complete its own process because
there is always more to criticize, including the most recent conclusion that
criticism has produced. As criticism, philosophy is always threatened by fatigue.
Its reasonings offer no final illumination or relief. Advancing and evaluating arguments
is a necessary and natural part of philosophy, but is it all of it?
In a few lines in his preface to the Phenomenology of Spirit, Hegel defines the
form of thought and expression upon which philosophy, he claims, properly
rests. He calls this the speculative sentence. The speculative sentence, spekulativer
Satz, is an extraordinary discovery in modern philosophy. It ranks in importance
with the discovery in ancient philosophy of the Socratic question as the means
through which philosophy can be produced. The Socratic question allows us to
bring any aspect of human experience before the mind and consider its being
and its meaning. The formulation of questions makes the mind dialectical, moving
it from one perspective to another, one question to another. The speculative
sentence turns this series of perspectives back upon itself, revealing its pattern of
self-development. The ancient pursuit of the question, joined with the power of
expression framed in the speculative sentence, gives philosophy its fullest range
of thought.
The speculative sentence has within it a circular motion, in which the meaning
of its subject term is found in the connection of the subject term to its predicate,
but once this connection is grasped, the meaning of the predicate term must be
taken against the subject, and the meaning of the subject reconceived. A further
sense of the subject then emerges, to be expressed in a predicate. The circular motion
is self-contained, yet it is always passing beyond its present state to a greater
comprehension of the meaning it contains.
Hegel gives the example: “God is being.” The predicate appears to be something
substantial into which the subject dissolves. But that is not the intention
of the sentence. The predicate is to state the essence of the subject. When the
predicate is brought back to bear on the subject, God ceases to be a fixed subject,
and is grasped anew. Hegel gives a second example: “‘the actual is the universal,’
the actual as subject disappears in its predicate. The universal is not meant
to have merely the significance of a predicate, as if the proposition asserted only
that the actual is universal; on the contrary, the universal is meant to express the
essence of the actual.” Reflective, critical thinking thus loses the firm objective
basis it believed to be in the subject. The project of such thinking—to collect and
classify the contents of experience in a fixed order—is overcome once this internal
movement is realized by thought.
The inner form of the speculative sentence is dialectical, a doubling-up, a
twice-reading that continually expands upon itself, offering greater and greater
spheres of meaning, approaching the grasp of the whole of things. The product
of this process is the True grasped as the whole. It is grasped in a grand narration
that does not aim at sorting out true from false assertions but aims at showing
how all assertions are both partially true and partially false. Like Hesiod’s Helicon
Muses, who sing both true and false songs and so provide us with the art of
expression, the speech that arises from the speculative sentence lets us put the
world together in thought. The art of the speculative sentence, like the art of the
Muses, allows us to pass from the dialectic of partial truths to proclaim the
greater truth of the whole that contains them. To speculate is not to speak in a
fanciful way or to think in an unfounded way apart from experience. To speculate,
as a way to embody the love of wisdom that distinguishes philosophy, is to
attempt to meditate and narrate the whole of things in a way that satisfies reason
in its connection with sense, imagination, and memory.
Philosophy pursued as speculation excludes neither reflection nor analysis.
Both of these are required in speculative reasoning. But speculation also requires
a willingness to risk imperfection. The narration of the True as the whole leaves
behind the security that critical reflection and analysis offer. Critical reflection
and analysis keep very tightly to those aspects of experience that can be understood,
that can be ordered and classified. To speak about the whole the philosopher
must stand common sense on its head and attempt what is in principle impossible—
to glimpse the whole of experience from within experience, to have
the divine perspective.
x PREFACE
Critical reflection and analysis are forever comedic, which is part of their attraction.
They always have present in principle the happy outcome—that their
efforts will allow them to sort out truths from errors. Speculation is always
melancholic because its task, in principle, cannot succeed. In principle, thought
can never attain a vantage point outside experience and grasp it as a single object
that can then be captured in speech. Yet not to undertake the task of speculative
thinking is not truly to engage the power distinctive to the human being—reason.
To restrict reason to critical reflection and analysis is to restrict the human.
Philosophy that produces the speculative narrative inherent in the power of
human reason is part of high culture, and has been so since the time of Plato.
Philosophy is part of the world of arts and ideas that make any culture a truly
human culture. Philosophy, like the world of arts and ideas, is not for the many
but the few. In the world of nations not everyone has interest in the fruits that
leisure and contemplation bring, nor need everyone have such interest. Century
after century, most people do not pursue the activities of high culture. They pursue
material comforts through work and spiritual comforts through entertainments
and religions. In generation after generation, countless individuals also
find themselves in societies and situations in which any personal pursuit of the
leisure of high culture is inaccessible, not even imaginable.
All cultures contain systems of wisdom, but not all pursue a world of arts
and ideas in which philosophy develops. Philosophy as an invention of Greek
and European culture has never disappeared in the twenty-five centuries since
its inception. It has always been preserved as a part of high culture. High culture
is high because it involves those uses of the senses, imagination, memory,
and reason wherein human beings deliberately and sustainedly attempt selfknowledge—
to grasp what is distinctly human in an ultimate way. High culture
is motivated by a sense of the absolute, the ways in which what is absolute in experience—
the True, the Good, and the Beautiful—can be imagined and
thought.
Speculative philosophy should not be considered as simply a revival of
Hegelian philosophy, although Hegel is the most complete source for it in modern
philosophy. Its roots in Great Britain and the continent include the philosophies
of T. H. Green, F. H. Bradley, R. G. Collingwood, Rudolf Hermann Lotze,
Benedetto Croce, and Henri Bergson. In Russia they include Nikolai Berdyaev
and the pre-Revolutionary philosopher, Vladimir Solovyov. In America speculative
philosophy has its sources in the writings of Josiah Royce and in the nineteenthcentury
St. Louis Hegelians, such as W. T. Harris, George Howison, Denton
Snider, and Henry Brockmeyer—who titled their journal, the first philosophical
journal in America, Speculative Philosophy. A. N. Whitehead’s Process and Reality,
the primary text of process philosophy, begins with what Whitehead terms
“The Speculative Scheme.” In the latter half of the twentieth century speculative
PREFACE xi
philosophy was pursued by Charles Hartshorne, in his extension of Whiteheadian
metaphysics, by Brand Blanshard, in his idealism, and by J. N. Findlay, in
his combination of speculative and phenomenological philosophy in The Discipline
of the Cave, The Transcendence of the Cave, and his essays in Ascent to the Absolute.
More recently speculative philosophy is represented in the writings of
Robert Neville and William Desmond.
The essays that follow are various ways of regarding philosophy as it exists
within human culture. They concern the philosophy of culture and the culture
of philosophy. They draw repeatedly on the major sources of my own philosophical
thought—Vico, Hegel, and Cassirer, accompanied by other sympathetic
thinkers, such as Collingwood and Whitehead. I add to these one major
literary figure—James Joyce.
In these essays the reader will find there has been a deliberate attempt at repetition
of major themes and claims. Each essay stands on its own and can be read
as such, but taken together they share ideas. The reader will encounter the same
idea more than once, often cast in a different perspective. I think philosophical
books should be a pleasure to read, at least for those prone to pursue wisdom. I
also think major ideas need to be approached and re-approached, from various
directions. Repetition is an integral part of the philosophical sense of truth. A
truth loses nothing by being said more than once. Truth, as narrative, not deductive,
is always a twice-told tale.
My intention is to instruct, delight, and move, and in so doing to encourage
the reader of these words to think through the issues individually. In this way
it may be possible to revive the spirit of speculative philosophy in an era in which
it is all but lost in the movements of Anglo-American analysis, continental
hermeneutics, post-modernism, applied ethics, gender and race theories, and so
forth. These forms of professional philosophy are enormous distractions to the
philosophical mind because they are so gratifying and engender so much social
approval.
Philosophy always suffers from a lack of respectability and always yearns for
it, allowing the pointer on its compass to be pulled in so many directions that it
risks losing its true bearing. This true bearing is to allow the human being and
human culture itself a means to look completely at itself—to see things whole.
These essays are meta-philosophical. They present a philosophical position
but they do not present a system of speculative philosophy. Philosophy by its nature
takes itself, its own existence and nature, as a problem. Speculative philosophy
in particular is self-comprehending. More so than the critical or analytic
spirit, the speculative spirit seeks to say what philosophy is. These essays approach
philosophy as a kind of ultimate literature, a literature focused on what
is absolute in human experience. Philosophical activity is essentially literary activity
in the sense that philosophy depends upon the word, spoken or written, to
xii PREFACE
conduct its pursuit of wisdom. Philosophy, like poetry, aims to take language to
its limits, but unlike poetry, philosophy attempts, in this process, to join imagination
to reason.
In one of the philosophical passages of Finnegans Wake, at the beginning of
the third chapter of the first book, James Joyce includes the line “to tickle the
speculative to all but opine” (50.13–14). It is the only time speculative occurs in
the Wake. Here it is linked with Nicholas of Cusa, who appears as Micholas de
Cusack, and with Giordano Bruno of Nola, who appears as Padre Don Bruno,
both of whom Joyce regards as precursors to Giambattista Vico, who appears
throughout the Wake in many guises, including “the producer (Mr. John Baptister
Vickar)” (255.27). Vico can be identified with the protagonist of the Wake,
H. C. E., Humphrey Chimpden Earwicker, Here Comes Everybody, and Vico,
like Earwicker, is the “Courser, Recourser, Changechild” (481.2).
Joyce associates the speculative with the mutuality of opposites. “To tickle
the speculative” is to see how everything and everybody is a “twone” (3.12):
“Now let the centuple celves of my egourge as Micholas de Cusack calls them,—
of all of whose I in my hereinafter of course by recourse demission me—by the
coincidance of their contraries reamalgamerge in that identity of undiscernibles
. . .” (49.33–50.1). Like Cusanus, Bruno is a master of opposites: “alionola equal
and opposite brunoipso” (488.9). Within his own identity, his “egobruno”
(488.8), Bruno is opposite: “Bruno at being eternally opposed by Nola”
(488.10–11). Vico’s solution to opposites is to be the master of the cycle of what
is “whorled without aimed” (272.4–5) but which “annews” (277.18). Joyce reverses
the order of historical influence: “a jambebatiste to a brulobrulo!”
(117.11–12). Vico’s speculative opine accomplishes the solution to the problem
of opposites by his corso and ricorso of events such that “all of whose I in my hereinafter
of course by recourse demission me.” The speculative always requires this
sense of the dialectical structure of experience. With dialectic comes the sense of
repetition. The speculative is like a song and no true song is sung only once.
Hegel makes one momentary appearance in the Wake as “hegelstomes”
(416.33) in the famous Ondt and the Gracehoper sequence of the third book.
Joyce’s reference to Hegel is preceded by the question: “Had he twicycled the sees
of the deed and trestraversed their revermer?” (416.30–31). This question of the
twicycled and the trestraversed, of the two-in-the-one-in-the-three, sums up
Hegel’s project of a science of the experience of consciousness in the Phenomenology
of Spirit. These and so many others are Joyce’s literary formulations of the
speculative sentence in which he turns litter to letter to literature and back again.
The philosopher, to begin his dialectic, must first sit in the poet’s chair.
Although philosophers must go to school with the poets, philosophical
thought always aims at something more than poetry can provide. For the speculative
philosopher this something more is not literal-mindedness but, as Whitehead
PREFACE xiii
holds at the end of Modes of Thought, it is mathematical pattern. Poetry can provide
meter but only philosophy can provide an ultimate sense of pattern that can
satisfy reason. Even if we hold that true philosophy is never written down, because
the nature of things is always just beyond the power of language to represent it, we
write down this claim. What philosophy itself is, is never fully stateable, yet our access
to it requires the use of language.
There are seven themes that take on various forms throughout this work: (1)
that the True is the whole; (2) that philosophical argument requires grounding
in philosophical narrative; (3) that philosophy is a kind of humanistic literature,
governed by the Muses; (4) that philosophers must go to school with the poets;
(5) that philosophical systems necessarily employ the principles of composition
of classical rhetoric for their expression; (6) that philosophical systems are theaters
of memory; (7) that self-knowledge is the aim of speculative philosophy.
Philosophies are, in the end, written for philosophers. The purpose of speculative
philosophy is the Socratic pursuit of the Delphic gnothi seauton, of selfknowledge.
The self can turn back upon itself only speculatively. It cannot attain
a vision of itself through a critique of its own actions or an analysis of the empirical
basis of them. Speculative philosophy, whether presented in objective or
subjective style, is autobiography, an art of self-writing in which the philosopher
comes to see what being is and, in terms of it, what the human being is, including
the individual life as governed by the love of wisdom.
A critic may ask whether in all these pages their author has ever truly defined
speculative philosophy. As I recall, Louis Armstrong was once asked, “What is
jazz?” He replied, “If you got to ask, you aren’t ever going to find out.” The speculative
spirit is necessary to speculative philosophy. It is a way of coming to philosophy,
a sense of things. The spirit is not in everyone. But when it is present,
philosophy is musical.
I thank my colleagues at Emory and at various other universities for their
helpful readings of this work in manuscript: Thora Bayer, Ann Hartle, George
Benjamin Kleindorfer, Donald Livingston, David Lovekin, George Lucas, and
Frederick Marcus. Philosophical thought always requires friends. I thank Molly
Black Verene, assistant director of the Institute for Vico Studies at Emory, for all
her work and advice in the preparation of this book.

http://ifile.it/5hriqvw/9780739136591.pdf

Chasing Reality: Strife over Realism (Toronto Studies in Philosophy)

2009-11-09T19:57:00.000-08:00


	by: Mario Bunge en \| University of Toronto Press

Chasing Reality: Strife over Realism (Toronto Studies in Philosophy)
by: Mario Bunge
* Publisher: University of Toronto Press
* Number Of Pages: 384
* ISBN-10 / ASIN: 0802090753
* ISBN-13 / EAN: 9780802090751

Product Description:

Chasing Reality deals with the controversies over the reality of the external world. Distinguished philosopher Mario Bunge offers an extended defence of realism, a critique of various forms of contemporary anti-realism, and a sketch of his own version of realism, namely hylorealism. Bunge examines the main varieties of antirealism ? Berkeley?s, Hume?s, and Kant?s; positivism, phenomenology, and constructivism ? and argues that all of these in fact hinder scientific research.

Bunge?s realist contention is that genuine explanations in the sciences appeal to causal laws and mechanisms that are not directly observable, rather than simply to empirical generalisations. Genuine science, in his view, is objective even when it deals with subjective phenomena such as feelings of fear. This work defends a realist view of universals, kinds, possibilities, and dispositions, while rejecting contemporary accounts of these that are couched in terms of modal logic and ?possible worlds.?

http://ifile.it/wqraodg/9780802090751.rar

Philosophy and the Mirror of Nature

2009-11-09T19:56:00.000-08:00


	by: Richard Rorty en \| Princeton University Press

Philosophy and the Mirror of Nature
by: Richard Rorty
* Publisher: Princeton University Press
* Number Of Pages: 424
* Publication Date: 1981-01-01
* Sales Rank: 28665
* ISBN / ASIN: 0691020167
* EAN: 9780691020167
* Binding: Paperback
* Manufacturer: Princeton University Press
* Studio: Princeton University Press
* Average Rating: 4
* Total Reviews: 9

Book Description: )

Philosophy and the Mirror of Nature hit the philosophical world like a bombshell. Richard Rorty, a Princeton professor who had contributed to the analytic tradition in philosophy, was now attempting to shrug off all the central problems with which it had long been preoccupied. After publication, the Press was barely able to keep up with demand, and the book has since gone on to become one of its all-time best-sellers in philosophy.

Rorty argued that, beginning in the seventeenth century, philosophers developed an unhealthy obsession with the notion of representation. They compared the mind to a mirror that reflects reality. In their view, knowledge is concerned with the accuracy of these reflections, and the strategy employed to obtain this knowledge--that of inspecting, repairing, and polishing the mirror--belongs to philosophy. Rorty's book was a powerful critique of this imagery and the tradition of thought that it spawned. He argued that the questions about truth posed by Descartes, Kant, Hegel, and modern epistemologists and philosophers of language simply couldn't be answered and were, in any case, irrelevant to serious social and cultural inquiry. This stance provoked a barrage of criticism, but whatever the strengths of Rorty's specific claims, the book had a therapeutic effect on philosophy. It reenergized pragmatism as an intellectual force, steered philosophy back to its roots in the humanities, and helped to make alternatives to analytic philosophy a serious choice for young graduate students. Twenty-five years later, the book remains a must-read for anyone seriously concerned about the nature of philosophical inquiry and what philosophers can and cannot do to help us understand and improve the world.

http://ifile.it/sxjgpw/rorty_richard_-_philosophy_and_the_mirror_of_nature.pdf

A History of Philosophy, Volume 2: Augustine to Scotus

2009-11-09T19:54:00.000-08:00


	by: Frederick Copleston en \| Continuum International Publishing Group - Burns &Oates

A History of Philosophy, Volume 2: Augustine to Scotus
by: Frederick Copleston

* Publisher: Image
* Number Of Pages: 624
* Publication Date: 1993-03-01
* ISBN-10 / ASIN: 038546844X
* ISBN-13 / EAN: 9780385468442
* Binding: Paperback

* Publisher: Continuum International Publishing Group - Burns &Oates
* Number Of Pages:
* Publication Date: 1999-09-22 (Reprint)
* ISBN-10 / ASIN: 0860122956
* ISBN-13 / EAN: 9780860122951

Product Description:

Conceived originally as a serious presentation of the development of philosophy for Catholic seminary students, Frederick Copleston's nine-volume A History Of Philosophy has journeyed far beyond the modest purpose of its author to universal acclaim as the best history of philosophy in English.

Copleston, an Oxford Jesuit of immense erudition who once tangled with A.J. Ayer in a fabled debate about the existence of God and the possibility of metaphysics, knew that seminary students were fed a woefully inadequate diet of theses and proofs, and that their familiarity with most of history's great thinkers was reduced to simplistic caricatures. Copleston set out to redress the wrong by writing a complete history of Western Philosophy, one crackling with incident and intellectual excitement - and one that gives full place to each thinker, presenting his thought in a beautifully rounded manner and showing his links to those who went before and to those who came after him.

http://ifile.it/9gj1emn/038546844x_a_history_of_philosophy__2.rar

Philosophy Of Mind (Dimensions of Philosophy)

2009-11-09T19:53:00.001-08:00


	by: Jaegwon Kim en \| Westview Press

Philosophy Of Mind (Dimensions of Philosophy)
by: Jaegwon Kim

* Publisher: Westview Press
* Number Of Pages: 272
* Publication Date: 1996-03-14
* ISBN-10 / ASIN: 0813307767
* ISBN-13 / EAN: 9780813307763
* Binding: Paperback

Product Description:

The philosophy of mind has always been a staple of the philosophy curriculum. But it has never held a more important place than it does today, with both traditional problems and new topics often sparked by the implications of modern psychology, cognitive science, and computer science.In this concise but comprehensive survey, Jaegwon Kim explores, maps, and interprets this difficult terrain. Designed as a textbook for upper-level undergraduates and graduate students, Philosophy of Mind succeeds brilliantly on these terms. But it also manages to offer riches to experienced philosophers while remaining accessible to readers new to philosophy.Focusing on the traditional mind/body problem, Kim canvasses the traditional attempts to explain the mind as soul, as certain forms of behavior, as brain, or as a type of computer as well as more recent complex attempts to meet objections raised by these accounts. The author also includes extensive coverage of the issues surrounding content and consciousness.Throughout, Kim allows readers to come to their own terms with these views. At the same time, the author’s own emerging views are on display and serve to advance the discussion. Readers of Kim’s previous work will especially welcome this aspect of the text.Comprehensive, clear, and fair, Philosophy of Mind is a model of philosophical exposition. It is a major contribution to the study and teaching of the philosophy of mind.

http://ifile.it/3eofq09/kim-philosophy_of_mind.zip

A Textbook Of Marxist Philosophy

2009-11-09T19:51:00.001-08:00


	by: Leningrad Institute Of Philosophy en \| Left Book Club - Gollancz Nd

A Textbook Of Marxist Philosophy
by: Leningrad Institute Of Philosophy
* Publisher: Left Book Club - Gollancz Nd
* Number Of Pages:
* Publication Date: 1937-01-01
* ISBN-10 / ASIN: B0026QLTX8
* ISBN-13 / EAN:

http://ifile.it/1oe2g9p/a_20textbook_20of_20marxist_20philosophy_the_20leningrad_20institute_20of.pdf

Surface Evolution Equations: A Level Set Approach (Monographs in Mathematics)

2009-11-09T19:49:00.000-08:00


	by: Yoshikazu Giga en \| CRC - 2000-01-27

Surface Evolution Equations: A Level Set Approach (Monographs in Mathematics)
by: Yoshikazu Giga
DOI: 1007/3-7643-7391-1 ISBN: 3764324309 9783764324308 All ISBNs: 3764324309 AFP — 9783764324308
3764373911 eBk LCCN: 2005058912 Dewey: 515/.353 22 LC Class: QA377 .G485 2006 keywords: Evolution equations;
Level set method;
Viscosity theory; Series: Mathematics, Monographs in Vol: 99 Size: 5.8 MB Topics: Evolution equations
Hamilton-Jacobi equations
Curves, Algebraic
Differential equations, Parabolic

This book presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations including curvature flow
equations. These equations are important in many applications, such as material sciences, image processing and differential geometry. The goal is to introduce a
generalized notion of solutions allowing singularities, and to solve the initial-value problem globally-in-time in a generalized sense. Various equivalent definitions of
solutions are studied. Several new results on equivalence are also presented. Moreover, structures of level set equations are studied in detail. Further, a rather
complete introduction to the theory of viscosity solutions is contained, which is a key tool for the level set approach.
Although most of the results in this book are more or less known, they are scattered in several references, sometimes without proofs. This book presents these results
in a synthetic way with full proofs.
The intended audience are graduate students and researchers in various disciplines who would like to know the applicability and detail of the theory as well as its
flavour. No familiarity with differential geometry or the theory of viscosity solutions is required. Only prerequisites are calculus, linear algebra and some basic
knowledge about semicontinuous functions.
Written for:
Graduates, postgraduates and researchers; physicists, people working in image processing

Keywords:
Evolution equations
Level set method
Viscosity theory

Science
Mathematics
Analysis

http://ifile.it/zevu6cs/42228.rar
pass:twilightzone

Difference Equations and Inequalities: Theory, Methods, and Applications (Pure and Applied Mathematics (Marcel Dekker))

2009-11-09T19:48:00.000-08:00


	by: Ravi P. Agarwal en \| CRC - 2000-01-27

Difference Equations and Inequalities: Theory, Methods, and Applications (Pure and Applied Mathematics (Marcel Dekker))
by: Ravi P. Agarwal
ISBN: 0824790073

ISBN-13: 9780824790073
Publisher: CRC - 2000-01-27
Hardcover | 2nd Edition | 1000 Pages

Summary:

In a self-contained monograph synthesizing some 400 recent publications, Agarwal (mathematics, National U. of Singapore) documents the revival of interest in difference equations in nearly every field that uses mathematics. They have been thought of as only discrete analogs of differential equations since the latter developed from them, but interest is rising now that computers are solving differential equations by using their approximate difference equation formulations. After some preliminaries, he surveys their use in linear initial value problems, miscellaneous different equations, difference inequalities, qualitative properties of solutions of difference systems and higher order difference equations, boundary value problems for linear and nonlinear systems, and other areas. To the 1992 edition he here adds a chapter on the qualitative properties of solutions of neutral difference equations.

http://ifile.it/vhfm60/0824790073.rar

Differential Equations, 3rd Edition

2009-11-09T19:44:00.000-08:00


	by: Paul Blanchard, Robert L. Devaney, Glen R. Hall en \| Brooks Cole

Differential Equations, 3rd Edition
by: Paul Blanchard, Robert L. Devaney, Glen R. Hall

* Publisher: Brooks Cole
* Number Of Pages: 848
* Publication Date: 2005-09-19
* ISBN-10 / ASIN: 0495012653
* ISBN-13 / EAN: 9780495012658
* Binding: Hardcover

Product Description:

Incorporating a modeling approach throughout, this exciting text emphasizes concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. By taking advantage of readily available technology, the authors eliminate most of the specialized techniques for deriving formulas for solutions found in traditional texts and replace them with topics that focus on the formulation of differential equations and the interpretations of their solutions. Students will generally attack a given equation from three different points of view to obtain an understanding of the solutions: qualitative, numeric, and analytic. Since many of the most important differential equations are nonlinear, students learn that numerical and qualitative techniques are more effective than analytic techniques in this setting. Overall, students discover how to identify and work effectively with the mathematics in everyday life, and they learn how to express the fundamental principles that govern many phenomena in the language of differential equations.

http://ifile.it/vog3er4/blanchard_-_differential_equations_3e_bw__thomson__2006_.djvu

Ordinary Differential Equations: A Brief Eclectic Tour (Classroom Resource Materials)

2009-11-09T19:43:00.000-08:00


	by: David A. Sánchez en \| The Mathematical Association of America

Ordinary Differential Equations: A Brief Eclectic Tour (Classroom Resource Materials)
by: David A. Sánchez
* Publisher: The Mathematical Association of America
* Number Of Pages: 132
* Publication Date: 2002-04-30
* ISBN-10 / ASIN: 0883857235
* ISBN-13 / EAN: 9780883857236

Product Description:

For the instructor or student confronting an introductory course in ordinary differential equations there is a need for a brief guide to the key concepts in the subject. Important topics like stability, resonance, existence of periodic solutions, and the essential role of continuation of solutions are often engulfed in a sea of exercises in integration, linear algebra theory, computer programming and an overdose of series expansions. This book is intended as that guide. It is more conceptual than definitive and more light-hearted than pedagogic. It covers key topics and theoretical underpinnings that are necessary for the study of rich topics like nonlinear equations or stability theory. The author has included a great many illuminating examples and discussions that uncover the conceptual heart of the matter.

http://ifile.it/edh0yt8/SanchezEclectic.pdf

Advances in Dynamic Equations on Time Scales

2009-11-09T19:42:00.000-08:00


	by: Martin Bohner, Allan C. Peterson en \| Birkhäuser Boston

Advances in Dynamic Equations on Time Scales
by: Martin Bohner, Allan C. Peterson

* Publisher: Birkhäuser Boston
* Number Of Pages: 368
* Publication Date: 2002-12-06
* ISBN-10 / ASIN: 0817642935
* ISBN-13 / EAN: 9780817642938

Product Description:

The subject of dynamic equations on time scales continues to be a rapidly growing area of research. Behind the main motivation for the subject lies the key concept that dynamic equations on time scales is a way of unifying and extending continuous and discrete analysis. This work goes beyond an earlier introductory text "Dynamic Equations on Time Scales: An Introduction with Applications" (ISBN 0-8176-4225-0) and is designed for a second course in dynamic equations at the graduate level. Key features of the book: excellent introductory material on the calculus of time scales and dynamic equations * numerous examples and exercises * covers the following topics: the exponential function on time scales, boundary value problems, positive solutions, upper and lower solutions of dynamic equations, integration theory on time scales, disconjugacy and higher order dynamic equations, delta, nabla, and alpha dynamic equations on time scales * unified and systematic exposition of the above topics with good transitions from chapter to chapter * useful for a second course in dynamic equations at the graduate level, with directions suggested for future research * comprehensive bibliography and index * useful as a comprehensive resource for pure and applied mathematicians

Contributors: R. Agarwal, E. Akin-Bohner, D. Anderson, F. Merdivenci Atici, R. Avery, M. Bohner, J. Bullock, J. Davis, O. Dosly, P. Eloe, L. Erbe, G. Guseinov, J. Henderson, S. Hilger, R. Hilscher, B. Kaymak‡alan, K. Messer, D. O'Regan, A. Peterson, H. Tran, W. Yin

http://ifile.it/mivxbja/bohner_peterson-aideots.rar

Numerical Solution of Stochastic Differential Equations (Stochastic Modelling and Applied Probability)

2009-11-09T19:39:00.000-08:00


	by: Peter E. Kloeden, Eckhard Platen en \| Springer

Numerical Solution of Stochastic Differential Equations (Stochastic Modelling and Applied Probability)
by: Peter E. Kloeden, Eckhard Platen

* Publisher: Springer
* Number Of Pages: 636
* Publication Date: 2000-11-28
* ISBN-10 / ASIN: 3540540628
* ISBN-13 / EAN: 9783540540625

Product Description:

The numerical analysis of stochastic differential equations differs significantly from that of ordinary differential equations, due to the peculiarities of stochastic calculus. The book proposes to the reader whose background knowledge is limited to undergraduate level methods for engineering and physics, and easily accessible introductions to SDE and then applications as well as the numerical methods for dealing with them. To help the reader develop an intuitive understanding and hand-on numerical skills, numerous exercises including PC-exercises are included.

http://ifile.it/9utacl0/t07284.rar
pass:twilightzone

An Introduction to Nonlinear Partial Differential Equations (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)

2009-11-09T19:37:00.000-08:00


	by: J. David Logan en \| Wiley-Interscience

An Introduction to Nonlinear Partial Differential Equations (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)
by: J. David Logan

* Publisher: Wiley-Interscience
* Number Of Pages: 398
* Publication Date: 2008-04-11
* ISBN-10 / ASIN: 0470225955
* ISBN-13 / EAN: 9780470225950
* Binding: Hardcover

Product Description:

An Introduction to Nonlinear Partial Differential Equations is a textbook on nonlinear partial differential equations. It is technique oriented with an emphasis on applications and is designed to build a foundation for studying advanced treatises in the field. The Second Edition features an updated bibliography as well as an increase in the number of exercises. All software references have been updated with the latest version of MATLAB®, the corresponding graphics have also been updated using MATLAB®. An increased focus on hydrogeology and mathematical biology is evident in the new edition. Hints and solutions to selected exercises have been added to the back of the book. The book emphasizes hyperbolic and parabolic problems and includes a range of applications in the following areas: biology, chemistry, porous media, biological problems, combustion and detonation, traffic flow, water waves, plug flow reactors, and heat transfer. Early chapters offer insight into how to understand problems involving phenomena, how specific equations describe evolutionary processes, and what the terms in such equations describe physically. When discussing wave propagination and hyperbolic problems, the text develops algorithms to solve first-order equations and highlights the concept of the weak solution. The material in the book is presented in such a manner that many of the chapters are independent, which allows for instructors' flexibility to design several courses around various topics.

http://ifile.it/tu58h19/ainsdaladaqd0470225955.rar

Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type (Oxford Lecture Series in Mathematics and Its Applications)

2009-11-09T19:36:00.000-08:00


	by: Juan Luis Vazquez en \| Oxford University Press, USA

Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type (Oxford Lecture Series in Mathematics and Its Applications)
by: Juan Luis Vazquez

Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type (Oxford Lecture Series in Mathematics and Its Applications)
By Juan Luis Vazquez

* Publisher: Oxford University Press, USA
* Number Of Pages: 248
* Publication Date: 2006-10-12
* ISBN-10 / ASIN: 0199202974
* ISBN-13 / EAN: 9780199202973
* Binding: Hardcover

Book Description:

This text is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as mathematical models in different branches of Physics, Chemistry, Biology, and Engineering, and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on estimates and functional analysis. Concentrating on a class of equations with nonlinearities of power type that lead to degenerate or singular parabolicity ("equations of porous medium type"), the aim of this text is to obtain sharp a priori estimates and decay rates for general classes of solutions in terms of estimates of particular problems. These estimates are the building blocks in understanding the qualitative theory, and the decay rates pave the way to the fine study of asymptotics. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including time decay, smoothing, extinction in finite time, and delayed regularity.

http://ifile.it/rmoxibu/smoothing_and_decay_estimates_for_nonlinear_diffusion_equations_0199202974.rar

The Equations of Oceanic Motions

2009-11-09T19:34:00.000-08:00


	by: Peter Müller en \| Cambridge University Press

The Equations of Oceanic Motions
by: Peter Müller

* Publisher: Cambridge University Press
* Number Of Pages: 302
* Publication Date: 2006-10-09
* ISBN-10 / ASIN: 0521855136
* ISBN-13 / EAN: 9780521855136
* Binding: Hardcover

Book Description:

Modeling and prediction of oceanographic phenomena and climate is based on the integration of dynamic equations. The Equations of Oceanic Motions derives and systematically classifies the most common dynamic equations used in physical oceanography, from large scale thermohaline circulations to those governing small scale motions and turbulence. After establishing the basic dynamical equations that describe all oceanic motions, Müller then derives approximate equations, emphasizing the assumptions made and physical processes eliminated. He distinguishes between geometric, thermodynamic and dynamic approximations and between the acoustic, gravity, vortical and temperature-salinity modes of motion. Basic concepts and formulae of equilibrium thermodynamics, vector and tensor calculus, curvilinear coordinate systems, and the kinematics of fluid motion and wave propagation are covered in appendices. Providing the basic theoretical background for graduate students and researchers of physical oceanography and climate science, this book will serve as both a comprehensive text and an essential reference.

http://rapidshare.com/files/74043620/9780521855136-0521855136.pdf.rar

Theory and Applications of Fractional Differential Equations (North-Holland Mathematics Studies 204)

2009-11-09T19:33:00.001-08:00


	by: A.A. Kilbas, H.M. Srivastava, J.J. Trujillo en \| Elsevier Science

Theory and Applications of Fractional Differential Equations (North-Holland Mathematics Studies 204)
by: A.A. Kilbas, H.M. Srivastava, J.J. Trujillo

* Publisher: Elsevier Science
* Number Of Pages: 540
* Publication Date: 2006-02-16
* ISBN-10 / ASIN: 0444518320
* ISBN-13 / EAN: 9780444518323
* Binding: Hardcover

Book Description:

This monograph provides the most recent and up-to-date developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional calculus.

The subject of fractional calculus and its applications (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering.

Some of the areas of present-day applications of fractional models include Fluid Flow, Solute Transport or Dynamical Processes in Self-Similar and Porous Structures, Diffusive Transport akin to Diffusion, Material Viscoelastic Theory, Electromagnetic Theory, Dynamics of Earthquakes, Control Theory of Dynamical Systems, Optics and Signal Processing, Bio-Sciences, Economics, Geology, Astrophysics, Probability and Statistics, Chemical Physics, and so on.

In the above-mentioned areas, there are phenomena with estrange kinetics which have a microscopic complex behaviour, and their macroscopic dynamics can not be characterized by classical derivative models.

The fractional modelling is an emergent tool which use fractional differential equations including derivatives of fractional order, that is, we can speak about a derivative of order 1/3, or square root of 2, and so on. Some of such fractional models can have solutions which are non-differentiable but continuous functions, such as Weierstrass type functions. Such kinds of properties are, obviously, impossible for the ordinary models.

What are the useful properties of these fractional operators which help in the modelling of so many anomalous processes? From the point of view of the authors and from known experimental results, most of the processes associated with complex systems have non-local dynamics involving long-memory in time, and the fractional integral and fractional derivative operators do have some of those characteristics.

This book is written primarily for the graduate students and researchers in many different disciplines in the mathematical, physical, engineering and so many others sciences, who are interested not only in learning about the various mathematical tools and techniques used in the theory and widespread applications of fractional differential equations, but also in further investigations which emerge naturally from (or which are motivated substantially by) the physical situations modelled mathematically in the book.

This monograph consists of a total of eight chapters and a very extensive bibliography. The main objective of it is to complement the contents of the other books dedicated to the study and the applications of fractional differential equations. The aim of the book is to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy type problems involving nonlinear ordinary fractional differential equations, explicit solutions of linear differential equations and of the corresponding initial-value problems through different methods, closed-form solutions of ordinary and partial differential equations, and a theory of the so-called sequential linear fractional differential equations including a generalization of the classical Frobenius method, and also to include an interesting set of applications of the developed theory.

Key features:

- It is mainly application oriented.
- It contains a complete theory of Fractional Differential Equations.
- It can be used as a postgraduate-level textbook in many different disciplines within science and engineering.
- It contains an up-to-date bibliography.
- It provides problems and directions for further investigations.
- Fractional Modelling is an emergent tool with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering.
- It contains many examples.
- and so on!

http://rapidshare.com/files/71250742/9780444518323-0444518320.pdf.rar

Symmetries and Differential Equations (Applied Mathematical Sciences, Vol 81)

2009-11-09T19:31:00.001-08:00


	by: George W. Bluman, Sukeyuki Kumei en \| Springer

Symmetries and Differential Equations (Applied Mathematical Sciences, Vol 81)
by: George W. Bluman, Sukeyuki Kumei,
* Publisher: Springer
* Number Of Pages: 412
* Publication Date: 1989-08
* Sales Rank: 1724385
* ISBN / ASIN: 0387969969
* EAN: 9780387969961
* Binding: Hardcover
* Manufacturer: Springer
* Studio: Springer
* Average Rating: 5
* Total Reviews: 2

Book Description:

A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equations, Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This book should be particularly suitable for physicists, applied mathematicians, and engineers. Almost all of the examples are taken from physical and engineering problems including those concerned with heat conduction, wave propagation, and fluid flows. A preliminary version was used as lecture notes for a two-semester course taught by the first author at the University of British Columbia in 1987-88 to graduate and senior undergraduate students in applied mathematics and physics. Chapters 1 to 4 encompass basic material. More specialized topics are covered in Chapters 5 to 7.

http://ifile.it/z9x2gb4/0387969969.rar

Handbook of Linear Partial Differential Equations for Engineers and Scientists

2009-11-09T19:28:00.001-08:00


	by: Andrei D. Polyanin en \| Chapman & Hall/CRC

Handbook of Linear Partial Differential Equations for Engineers and Scientists
by: Andrei D. Polyanin

* Publisher: Chapman & Hall/CRC
* Number Of Pages: 800
* Publication Date: 2001-11-28
* ISBN-10 / ASIN: 1584882999
* ISBN-13 / EAN: 9781584882992

Product Description:

Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering."Parabolic, hyperbolic, and elliptic equations with constant and variable coefficients"New exact solutions to linear equations and boundary value problems"Equations and problems of general form that depend on arbitrary functions"Formulas for constructing solutions to nonhomogeneous boundary value problems"Second- and higher-order equations and boundary value problemsAn introductory section outlines the basic definitions, equations, problems, and methods of mathematical physics. It also provides useful formulas for expressing solutions to boundary value problems of general form in terms of the Green's function. Two supplements at the end of the book furnish more tools and information: Supplement A lists the properties of common special functions, including the gamma, Bessel, degenerate hypergeometric, and Mathieu functions, and Supplement B describes the methods of generalized and functional separation of variables for nonlinear partial differential equations.

http://ifile.it/r3kthv/handbook_of_linear_partial_differential_equations_for_engineers_and_scientists_kingdwarf.zip

Differential Equations With Mathematica

2009-11-09T19:26:00.001-08:00


	by: Martha L. Abell, James P. Braselton en \| Morgan Kaufmann Pub

Differential Equations With Mathematica
by: Martha L. Abell, James P. Braselton

* Publisher: Morgan Kaufmann Pub
* Number Of Pages: 640
* Publication Date: 1993-09
* ISBN-10 / ASIN: 0120415399
* ISBN-13 / EAN: 9780120415397

Product Description:

Differential Equations with Mathematica completely covers constructing, numerical computing, and approximating solutions to ordinary and partial differential equations. The book serves as a hands-on introduction to the subject matter through numerous examples that explain how to solve important applications using Mathematica.

http://ifile.it/aqpejz/ebc_diff_mathematica.djvu

A First Course in Partial Differential Equations With Complex Variables and Transform Methods (Dover Books on Mathematics)

2009-11-09T19:19:00.000-08:00


	by: H.F. Weinberger en \| Dover Publications

A First Course in Partial Differential Equations With Complex Variables and Transform Methods (Dover Books on Mathematics)
by: H.F. Weinberger

ISBN: 048668640X

ISBN-13: 9780486686400
Publisher: Dover Publications - 1995-09-11
Paperback | New Ed Edition | 480 Pages

From the Publisher:

Text presents the general properties of partial differential equations such as characteristics, domains of independence and maximum principles. Solutions.

Table of Contents:

I. The one-dimensional wave equation
1. A physical problem and its mathematical models: the vibrating string
2. The one-dimensional wave equation
3. Discussion of the solution: characteristics
4. Reflection and the free boundary problem
5. The nonhomogeneous wave equation

II. Linear second-order partial differential equations in two variables
6. Linearity and superposition
7. Uniqueness for the vibrating string problem
8. Classification of second-order equations with constant coefficients
9. Classification of general second-order operators

III. Some properties of elliptic and parabolic equations
10. Laplace's equation
11. Green's theorem and uniqueness for the Laplace's equation
12. The maximum principle
13. The heat equation

IV. Separation of variables and Fourier series
14. The method of separation of variables
15. Orthogonality and least square approximation
16. Completeness and the Parseval equation
17. The Riemann-Lebesgue lemma
18. Convergence of the trigonometric Fourier series
19. "Uniform convergence, Schwarz's inequality, and completeness"
20. Sine and cosine series
21. Change of scale
22. The heat equation
23. Laplace's equation in a rectangle
24. Laplace's equation in a circle
25. An extension of the validity of these solutions
26. The damped wave equation

V. Nonhomogeneous problems
27. Initial value problems for ordinary differential equations
28. Boundary value problems and Green's function for ordinary differential equations
29. Nonhomogeneous problems and the finite Fourier transform
30. Green's function

VI. Problems in higher dimensions and multiple Fourier series
31. Multiple Fourier series
32. Laplace's equation in a cube
33. Laplace's equation in a cylinder
34. The three-dimensional wave equation in a cube
35. Poisson's equation in a cube

VII. Sturm-Liouville theory and general Fourier expansions
36. Eigenfunction expansions for regular second-order ordinary differential equations
37. Vibration of a variable string
38. Some properties of eigenvalues and eigenfunctions
39. Equations with singular endpoints
40. Some properties of Bessel functions
41. Vibration of a circular membrane
42. Forced vibration of a circular membrane: natural frequencies and resonance
43. The Legendre polynomials and associated Legendre functions
44. Laplace's equation in the sphere
45. Poisson's equation and Green's function for the sphere

VIII. Analytic functions of a complex variable
46. Complex numbers
47. Complex power series and harmonic functions
48. Analytic functions
49. Contour integrals and Cauchy's theorem
50. Composition of analytic functions
51. Taylor series of composite functions
52. Conformal mapping and Laplace's equation
53. The bilinear transformation
54. Laplace's equation on unbounded domains
55. Some special conformal mappings
56. The Cauchy integral representation and Liouville's theorem

IX. Evaluation of integrals by complex variable methods
57. Singularities of analytic functions
58. The calculus of residues
59. Laurent series
60. Infinite integrals
61. Infinite series of residues
62. Integrals along branch cuts

X. The Fourier transform
63. The Fourier transform
64. Jordan's lemma
65. Schwarz's inequality and the triangle inequality for infinite integrals
66. Fourier transforms of square integrable functions: the Parseval equation
67. Fourier inversion theorems
68. Sine and cosine transforms
69. Some operational formulas
70. The convolution product
71. Multiple Fourier transforms: the heat equation in three dimensions
72. The three-dimensional wave equation
73. The Fourier transform with complex argument

XI. The Laplace transform
74. The Laplace transform
75. Initial value problems for ordinary differential equations
76. Initial value problems for the one-dimensional heat equation
77. A diffraction problem
78. The Stokes rule and Duhamel's principle

XII. Approximation methods
79. "Exact" and approximate solutions"
80. The method of finite differences for initial-boundary value problems
81. The finite difference method for Laplace's equation
82. The method of successive approximations
83. The Raleigh-Ritz method
SOLUTIONS TO THE EXERCISES
INDEX

http://ifile.it/2wpvne/first_course_in_pde_with_complex_variables_and_transform_methods_isbn048668640x.rar

Qualitative Analysis of Delay Partial Difference Equations (Contemporary Mathematics and Its Applications Book Series Vol 4)

2009-11-09T19:17:00.001-08:00


	by: Binggen Zhang and Yong Zhou en \| Hindawi Publishing Corporation

Qualitative Analysis of Delay Partial Difference Equations (Contemporary Mathematics and Its Applications Book Series Vol 4)
by: Binggen Zhang and Yong Zhou

* Publisher: Hindawi Publishing Corporation
* Number Of Pages: 375
* Publication Date: 2007-12-01
* ISBN-10 / ASIN: 977454000X
* ISBN-13 / EAN: 9789774540004

Product Description:

Delay partial difference equations occur frequently in the approximation of solutions of delay partial differential equations by finite difference methods, random walk problems, the study of molecular orbits and mathematical physics problems. Many results have been done for the qualitative theory of delay partial difference equation in the past ten years. But there has not been a book in the literature presenting the systematical theory on delay partial difference equations so far. This book provides a broad scenario of the qualitative theory of delay partial difference equations.

The book is divided into five chapters. Chapter 1 introduces delay partial difference equations and related initial value problems, and offers several examples for motivation. In Chapter 2, we first discuss the oscillation of the linear delay partial difference equations with constants parameters, where the characteristic equations play an important rule; then we present some techniques for the investigation of the oscillation of the linear delay partial difference equations with variable coefficients. Chapter 3 is devoted to the study of the oscillation of the nonlinear delay partial difference equations. In Chapter 4, we consider the stability of the delay partial difference equations. In the last Chapter, we introduce some recent work on spatial chaos.

Most of the materials in this book are based on the research work carried out by authors, their graduate students and some other experts during the past ten years. Readership: Advanced undergraduates, graduates and researchers in applied mathematics, computation mathematics, physical and biological sciences.

http://rapidshare.com/files/238098277/zz-qaodpde.rar

Partial Differential Equations: Modeling, Analysis, Computation (SIAM Monographs on Mathematical Modeling and Computation)

2009-11-09T19:16:00.001-08:00


	by: Robert M.M. Mattheij, S.W. Rienstra, J.H.M. ten Thije Boonkkamp en \| Society for Industrial and Applied Mathematics

Partial Differential Equations: Modeling, Analysis, Computation (SIAM Monographs on Mathematical Modeling and Computation)
by: Robert M.M. Mattheij, S.W. Rienstra, J.H.M. ten Thije Boonkkamp

* Publisher: Society for Industrial & Applied Mathematics (SIAM)
* Number Of Pages: 665
* Publication Date: 2005-11-08
* ISBN-10 / ASIN: 0898715946
* ISBN-13 / EAN: 9780898715941
* Binding: Paperback

Product Description:

Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component—modeling—to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters. Partial Differential Equations: Modeling, Analysis, Computation enables readers to deepen their understanding of a topic ubiquitous in mathematics and science and to tackle practical problems. The advent of fast computers and the development of numerical methods have enabled the modern engineer to use a large variety of packages to find numerical approximations to solutions of PDEs. Problems are usually standard and a thorough knowledge of a well-chosen subset of analytical and numerical tools and methodologies is necessary when dealing with real-life problems. When one is dealing with PDEs in practice, it becomes clear that both numerical and analytical treatments of the problem are needed. This comprehensive book is intended for graduate students in applied mathematics, engineering, and physics and may be of interest to advanced undergraduate students. Mathematicians, scientists, and engineers also will find the book useful. Contents List of Figures; List of Tables; Notation; Preface; Chapter 1: Differential and difference equations; Chapter 2: Characterization and classification; Chapter 3: Fourier theory; Chapter 4: Distributions and fundamental solutions; Chapter 5: Approximation by finite differences; Chapter 6: The Equations of continuum mechanics and electromagnetics; Chapter 7: The art of modeling; Chapter 8: The analysis of elliptic equations; Chapter 9: Numerical methods for elliptic equations; Chapter 10: Analysis of parabolic equations; Chapter 11: Numerical methods for parabolic equations; Chapter 12: Analysis of hyperbolic equations; Chapter 13: Numerical methods for scalar hyperbolic equations; Chapter 14: Numerical methods for hyperbolic systems; Chapter 15: Perturbation methods; Chapter 16: Modeling, analyzing, and simulating problems from practice; Appendices: Useful definitions and properties; Bibliography; Index.

http://rapidshare.com/files/163642819/Partial_Differential_Equations_Modeling__Analysis__Computation.rar

Analytic Solutions Of Functional Equations

2009-11-09T19:12:00.001-08:00


	by: Sui Sun Cheng, Wenrong Li en \| World Scientific Publishing Company

Analytic Solutions Of Functional Equations
by: Sui Sun Cheng, Wenrong Li

* Publisher: World Scientific Publishing Company
* Number Of Pages: 296
* Publication Date: 2008-03-14
* ISBN-10 / ASIN: 9812793348
* ISBN-13 / EAN: 9789812793348
* Binding: Hardcover

Product Description:

This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how analytic solutions can be found.

Unlike in other books, analytic functions are treated here as those generated by sequences with positive radii of convergence. By developing operational means for handling sequences, functional equations can then be transformed into recurrence relations or difference equations in a straightforward manner. Their solutions can also be found either by qualitative means or by computation. The subsequent formal power series function can then be asserted as a true solution once convergence is established by various convergence tests and majorization techniques. Functional equations in this book may also be functional differential equations or iterative equations, which are different from the differential equations studied in standard textbooks since composition of known or unknown functions are involved.

Contents: Prologue; Sequences; Power Series Functions; Functional Equations without Differentiation; Functional Equations with Differentiation; Functional Equations with Iteration.

http://ifile.it/lauqiek/analytic_solutions_of_functional_equations__9812793348_.pdf

Ultimate Mathematical Library

Mathematica Navigator: Mathematics, Statistics and Graphics, Third Edition

The EScience Library

Speculative Philosophy

Donald Phillip Verene en | Lexington Books

Chasing Reality: Strife over Realism (Toronto Studies in Philosophy)

Mario Bunge en | University of Toronto Press

Philosophy and the Mirror of Nature

Richard Rorty en | Princeton University Press

A History of Philosophy, Volume 2: Augustine to Scotus

Frederick Copleston en | Continuum International Publishing Group - Burns &Oates

Philosophy Of Mind (Dimensions of Philosophy)

Jaegwon Kim en | Westview Press

A Textbook Of Marxist Philosophy

Leningrad Institute Of Philosophy en | Left Book Club - Gollancz Nd

Surface Evolution Equations: A Level Set Approach (Monographs in Mathematics)

Yoshikazu Giga en | CRC - 2000-01-27

Difference Equations and Inequalities: Theory, Methods, and Applications (Pure and Applied Mathematics (Marcel Dekker))

Ravi P. Agarwal en | CRC - 2000-01-27

Differential Equations, 3rd Edition

Paul Blanchard, Robert L. Devaney, Glen R. Hall en | Brooks Cole

Ordinary Differential Equations: A Brief Eclectic Tour (Classroom Resource Materials)

David A. Sánchez en | The Mathematical Association of America

Advances in Dynamic Equations on Time Scales

Martin Bohner, Allan C. Peterson en | Birkhäuser Boston

Numerical Solution of Stochastic Differential Equations (Stochastic Modelling and Applied Probability)

Peter E. Kloeden, Eckhard Platen en | Springer

An Introduction to Nonlinear Partial Differential Equations (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)

J. David Logan en | Wiley-Interscience

Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type (Oxford Lecture Series in Mathematics and Its Applications)

Juan Luis Vazquez en | Oxford University Press, USA

The Equations of Oceanic Motions

Peter Müller en | Cambridge University Press

Theory and Applications of Fractional Differential Equations (North-Holland Mathematics Studies 204)

A.A. Kilbas, H.M. Srivastava, J.J. Trujillo en | Elsevier Science

Symmetries and Differential Equations (Applied Mathematical Sciences, Vol 81)

George W. Bluman, Sukeyuki Kumei en | Springer

Handbook of Linear Partial Differential Equations for Engineers and Scientists

Andrei D. Polyanin en | Chapman & Hall/CRC

Differential Equations With Mathematica

Martha L. Abell, James P. Braselton en | Morgan Kaufmann Pub

A First Course in Partial Differential Equations With Complex Variables and Transform Methods (Dover Books on Mathematics)

H.F. Weinberger en | Dover Publications

Qualitative Analysis of Delay Partial Difference Equations (Contemporary Mathematics and Its Applications Book Series Vol 4)

Binggen Zhang and Yong Zhou en | Hindawi Publishing Corporation

Partial Differential Equations: Modeling, Analysis, Computation (SIAM Monographs on Mathematical Modeling and Computation)

Robert M.M. Mattheij, S.W. Rienstra, J.H.M. ten Thije Boonkkamp en | Society for Industrial and Applied Mathematics

Analytic Solutions Of Functional Equations

Sui Sun Cheng, Wenrong Li en | World Scientific Publishing Company

Donald Phillip Verene

en | Lexington Books

Mario Bunge

en | University of Toronto Press

Richard Rorty

en | Princeton University Press

Frederick Copleston

en | Continuum International Publishing Group - Burns &Oates

Jaegwon Kim

en | Westview Press

Leningrad Institute Of Philosophy

en | Left Book Club - Gollancz Nd

Yoshikazu Giga

en | CRC - 2000-01-27

Ravi P. Agarwal

en | CRC - 2000-01-27

Paul Blanchard, Robert L. Devaney, Glen R. Hall

en | Brooks Cole

David A. Sánchez

en | The Mathematical Association of America

Martin Bohner, Allan C. Peterson

en | Birkhäuser Boston

Peter E. Kloeden, Eckhard Platen

en | Springer

J. David Logan

en | Wiley-Interscience

Juan Luis Vazquez

en | Oxford University Press, USA

Peter Müller

en | Cambridge University Press

A.A. Kilbas, H.M. Srivastava, J.J. Trujillo

en | Elsevier Science

George W. Bluman, Sukeyuki Kumei

en | Springer

Andrei D. Polyanin

en | Chapman & Hall/CRC

Martha L. Abell, James P. Braselton

en | Morgan Kaufmann Pub

H.F. Weinberger

en | Dover Publications

Binggen Zhang and Yong Zhou

en | Hindawi Publishing Corporation

Robert M.M. Mattheij, S.W. Rienstra, J.H.M. ten Thije Boonkkamp

en | Society for Industrial and Applied Mathematics

Sui Sun Cheng, Wenrong Li

en | World Scientific Publishing Company