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Proof and the Art of Mathematics
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ISBN-13:
9780262539791
Veröffentl:
2020
Erscheinungsdatum:
29.09.2020
Seiten:
240
Autor:
Joel David Hamkins
Gewicht:
450 g
Format:
226x175x16 mm
Sprache:
Englisch
Beschreibung:
Joel David Hamkins
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
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.