Proof and the Art of Mathematics
(Sprache: Englisch)
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...
This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a...
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Klappentext zu „Proof and the Art of Mathematics “
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.
Inhaltsverzeichnis zu „Proof and the Art of Mathematics “
1 A Classical Beginning2 Multiple Proofs
3 Number Theory
4 Mathematical Induction
5 Discrete Mathematics
6 Proofs Without Words
7 Theory of Games
8 Pick's Theorem
9 Lattice-Point Polygons
10 Polygonal Dissection Congruence Theorem
11 Functions and Relations
12 Graph Theory
13 Infinity
14 Order Theory
15 Real Analysis
Autoren-Porträt von Joel David Hamkins
Joel David Hamkins
Bibliographische Angaben
- Autor: Joel David Hamkins
- 2020, xxvi, 208 Seiten, 112 farbige Abbildungen, 8 Schwarz-Weiß-Abbildungen, Maße: 22,6 x 17,5 cm, Kartoniert (TB), Englisch
- Verlag: The MIT Press
- ISBN-10: 0262539799
- ISBN-13: 9780262539791
- Erscheinungsdatum: 29.09.2020
Sprache:
Englisch
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