Proof and the Art of Mathematics
Proof and the Art of Mathematics by Joel David Hamkins
English | September 29, 2020 | ISBN: 0262539799 | EPUB | 240 pages | 5.5 MB
English | September 29, 2020 | ISBN: 0262539799 | EPUB | 240 pages | 5.5 MB
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.