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Understanding Topology : A Practical Introduction.
・ISBN 978-1-4214-2407-1 hard US$ 102.95
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| 著者・編者 | Ault, Shaun V., |
|---|---|
| 出版社 | (Johns Hopkins University Press, US) |
| 出版年月 | 2018 |
| ページ数 | 416 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-7751＞ |
解説
A fresh approach to topology makes this complex topic easier for students to master.
Topology-the branch of mathematics that studies the properties of spaces that remain unaffected by stretching and other distortions-can present significant challenges for undergraduate students of mathematics and the sciences. Understanding Topology aims to change that.
The perfect introductory topology textbook, Understanding Topology requires only a knowledge of calculus and a general familiarity with set theory and logic. Equally approachable and rigorous, the book's clear organization, worked examples, and concise writing style support a thorough understanding of basic topological principles. Professor Shaun V. Ault's unique emphasis on fascinating applications, from mapping DNA to determining the shape of the universe, will engage students in a way traditional topology textbooks do not.
This groundbreaking new text:
* presents Euclidean, abstract, and basic algebraic topology
* explains metric topology, vector spaces and dynamics, point-set topology, surfaces, knot theory, graphs and map coloring, the fundamental group, and homology
* includes worked example problems, solutions, and optional advanced sections for independent projects
Following a path that will work with any standard syllabus, the book is arranged to help students reach that "Aha!" moment, encouraging readers to use their intuition through local-to-global analysis and emphasizing topological invariants to lay the groundwork for algebraic topology.