Proof and the Art of Mathematics by Joel David Hamkins (English) Paperback Book

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"A textbook for students who are learning how to write a mathematical proof, a validation of the truth of a mathematical statement"--

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description

An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs.An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs.This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range of topics, including number theory, combinatorics, graph theory, the theory of games, geometry, infinity, order theory, and real analysis. The goal is to show students and aspiring mathematicians how to write proofs with elegance and precision.

Author Biography

Joel David Hamkins is Professor of Logic at Oxford University and Sir Peter Strawson Fellow in Philosophy at University College, Oxford. The author of Proof and the Art of Mathematics (MIT Press), he is the creator of the popular blog Mathematics and Philosophy of the Infinite. He is a prominent contributor to MathOverflow, where he has posted more than 1,000 mathematical arguments.

Table of Contents

1 A Classical Beginning2 Multiple Proofs3 Number Theory4 Mathematical Induction5 Discrete Mathematics6 Proofs Without Words7 Theory of Games8 Pick's Theorem9 Lattice-Point Polygons10 Polygonal Dissection Congruence Theorem11 Functions and Relations12 Graph Theory13 Infinity14 Order Theory15 Real Analysis

Promotional "Headline"

An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs.

Details ISBN0262539799 Author Joel David Hamkins Language English Year 2020 ISBN-10 0262539799 ISBN-13 9780262539791 Format Paperback Pages 232 Publication Date 2020-09-29 UK Release Date 2020-09-29 Imprint MIT Press Country of Publication United States AU Release Date 2020-09-29 NZ Release Date 2020-09-29 US Release Date 2020-09-29 Illustrator Kevin Howdeshell Birth 1954 Death 1925 Affiliation Rick Ingrasci Position Illustrator Qualifications PsyD Publisher MIT Press Ltd DEWEY 511.36 Audience Tertiary & Higher Education We've got this

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