Proof and the art of mathematics
著者
書誌事項
Proof and the art of mathematics
MIT Press, c2020
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注記
Includes bibliographical references and index
Summary: "A textbook for students who are learning how to write a mathematical proof, a validation of the truth of a mathematical statement"-- Provided by publisher
収録内容
- A classical beginning
- Multiple proof
- Number theory
- Mathematical induction
- Discrete mathematics
- Proofs without words
- Theory of games
- Pick's theorem
- Lattice-point polygons
- Polygonal dissection
- Functions and relations
- Graph theory
- Infinity
- Order theory
- Real analysis
内容説明・目次
内容説明
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.
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