Proofs from The Book
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The most elegant axioms, theorems, and proofs in school mathematics.Tue, 25 Oct 2016 00:08:27 +0000en-UShourly141383381proofsfromthebookhttps://feedburner.google.comNegation and the Not Connector
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http://proofsfromthebook.com/2016/10/25/negation-not-connector/#respondTue, 25 Oct 2016 00:08:27 +0000http://proofsfromthebook.com/?p=3034<p>In the previous post, we have discussed compound propositions. We learned that compound proposition is a proposition formed from simple propositions using some logical connectors. The first logical connector that we are going learn is about “not” which is used for negation. The negation of a proposition p denoted by ~p (read as “not p”) […]<br /><a href="http://proofsfromthebook.com/2016/10/25/negation-not-connector/" class="more-link" >Continue reading...</a></p>
<p>The post <a rel="nofollow" href="http://proofsfromthebook.com/2016/10/25/negation-not-connector/">Negation and the Not Connector</a> appeared first on <a rel="nofollow" href="http://proofsfromthebook.com">Proofs from The Book</a>.</p><img src="http://feeds.feedburner.com/~r/proofsfromthebook/~4/Cy_oDQVd5sQ" height="1" width="1" alt=""/>http://proofsfromthebook.com/2016/10/25/negation-not-connector/feed/03034http://proofsfromthebook.com/2016/10/25/negation-not-connector/Introduction to Compound Propositions
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http://proofsfromthebook.com/2016/09/11/compound-propositions/#respondSun, 11 Sep 2016 07:31:56 +0000http://proofsfromthebook.com/?p=3025<p>In the previous post, we have learned about propositions. We learned that propositions are statements that are either true or false but not both. In this post, we are going to combine two or more propositions using words such as and, or, and if and then. Two or more propositions combined are called compound propositions […]<br /><a href="http://proofsfromthebook.com/2016/09/11/compound-propositions/" class="more-link" >Continue reading...</a></p>
<p>The post <a rel="nofollow" href="http://proofsfromthebook.com/2016/09/11/compound-propositions/">Introduction to Compound Propositions</a> appeared first on <a rel="nofollow" href="http://proofsfromthebook.com">Proofs from The Book</a>.</p><img src="http://feeds.feedburner.com/~r/proofsfromthebook/~4/Ucp4xI9HSiM" height="1" width="1" alt=""/>http://proofsfromthebook.com/2016/09/11/compound-propositions/feed/03025http://proofsfromthebook.com/2016/09/11/compound-propositions/Understanding Propositions
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http://proofsfromthebook.com/2016/08/28/understanding-propositions/#respondSun, 28 Aug 2016 09:08:14 +0000http://proofsfromthebook.com/?p=3018<p>In the previous post, I have promised that we will take our discussion about mathematical proofs to the next level. We will start this journey by learning about propositions. In our daily lives, we often encounter statements that are either true or false. Some examples are shown below. 1.) Australia is an island continent. 2.) […]<br /><a href="http://proofsfromthebook.com/2016/08/28/understanding-propositions/" class="more-link" >Continue reading...</a></p>
<p>The post <a rel="nofollow" href="http://proofsfromthebook.com/2016/08/28/understanding-propositions/">Understanding Propositions</a> appeared first on <a rel="nofollow" href="http://proofsfromthebook.com">Proofs from The Book</a>.</p><img src="http://feeds.feedburner.com/~r/proofsfromthebook/~4/u_XgCG8nS-g" height="1" width="1" alt=""/>http://proofsfromthebook.com/2016/08/28/understanding-propositions/feed/03018http://proofsfromthebook.com/2016/08/28/understanding-propositions/A reboot for Proofs from the Book
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http://proofsfromthebook.com/2016/08/07/reboot-proofs-book/#respondSun, 07 Aug 2016 11:00:32 +0000http://proofsfromthebook.com/?p=3015<p>I have decided to include undergraduate proofs in this blog. We will be studying formal proofs starting with logic (truth tables, logical connectives, etc.) and then study different methods of proofs (direct, indirect, etc). While studying these concepts, we will have numerous examples from different branches of mathematics particularly number theory, probability, and combinatorics. I’m […]<br /><a href="http://proofsfromthebook.com/2016/08/07/reboot-proofs-book/" class="more-link" >Continue reading...</a></p>
<p>The post <a rel="nofollow" href="http://proofsfromthebook.com/2016/08/07/reboot-proofs-book/">A reboot for Proofs from the Book</a> appeared first on <a rel="nofollow" href="http://proofsfromthebook.com">Proofs from The Book</a>.</p><img src="http://feeds.feedburner.com/~r/proofsfromthebook/~4/Mbi91HBGlk4" height="1" width="1" alt=""/>http://proofsfromthebook.com/2016/08/07/reboot-proofs-book/feed/03015http://proofsfromthebook.com/2016/08/07/reboot-proofs-book/Understanding If-Then Statements Part 1
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http://proofsfromthebook.com/2016/06/21/understanding-statements-part-1/#respondMon, 20 Jun 2016 23:16:29 +0000http://proofsfromthebook.com/?p=3000<p>In this post, we are going to examine the structure and truth table of the conditional statements or if-then statements. If-then statements are used often in mathematical proofs as well as real-life conversations. But before that, let us understand what proposition means. A proposition is a declarative sentence that is either True (T) or false […]<br /><a href="http://proofsfromthebook.com/2016/06/21/understanding-statements-part-1/" class="more-link" >Continue reading...</a></p>
<p>The post <a rel="nofollow" href="http://proofsfromthebook.com/2016/06/21/understanding-statements-part-1/">Understanding If-Then Statements Part 1</a> appeared first on <a rel="nofollow" href="http://proofsfromthebook.com">Proofs from The Book</a>.</p><img src="http://feeds.feedburner.com/~r/proofsfromthebook/~4/B43Bm5TFTGM" height="1" width="1" alt=""/>http://proofsfromthebook.com/2016/06/21/understanding-statements-part-1/feed/03000http://proofsfromthebook.com/2016/06/21/understanding-statements-part-1/Another Proof of the Hypotenuse Leg Theorem
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http://proofsfromthebook.com/2016/04/10/another-proof-of-the-hypotenuse-leg-theorem/#respondSun, 10 Apr 2016 10:49:30 +0000http://proofsfromthebook.com/?p=2982<p>Given two triangles, if their hypotenuse are congruent, and one pair of their legs are congruent then the two triangles are congruent. In this post, we are going to prove this theorem. In the figure below, ABC and DEF are right triangles with right angles at C and F, respectively. It is given that and . […]<br /><a href="http://proofsfromthebook.com/2016/04/10/another-proof-of-the-hypotenuse-leg-theorem/" class="more-link" >Continue reading...</a></p>
<p>The post <a rel="nofollow" href="http://proofsfromthebook.com/2016/04/10/another-proof-of-the-hypotenuse-leg-theorem/">Another Proof of the Hypotenuse Leg Theorem</a> appeared first on <a rel="nofollow" href="http://proofsfromthebook.com">Proofs from The Book</a>.</p><img src="http://feeds.feedburner.com/~r/proofsfromthebook/~4/RRFXR4-4kAA" height="1" width="1" alt=""/>http://proofsfromthebook.com/2016/04/10/another-proof-of-the-hypotenuse-leg-theorem/feed/02982http://proofsfromthebook.com/2016/04/10/another-proof-of-the-hypotenuse-leg-theorem/