Proof and the Art of Mathematics
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Proof and the Art of Mathematics

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Description

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.

Additional information

Weight 0.43 kg
Dimensions 1.3 × 17.78 × 22.86 cm
PubliCanadation City/Country

USA
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Format

Paperback
Language

Pages

240
Publisher

Year Published

2020-9-29
Imprint

ISBN 10

0262539799
About The Author

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 Content

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

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