Understanding Topology (ePub)
A Practical Introduction
(Sprache: Englisch)
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...
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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 projectsFollowing a path that will work with any standard syllabus, the book is arranged to help students reach that "e;Aha!"e; moment, encouraging readers to use their intuition through local-to-global analysis and emphasizing topological invariants to lay the groundwork for algebraic topology.
Bibliographische Angaben
- Autor: Shaun V. Ault
- Englisch
- Verlag: Johns Hopkins University Press
- ISBN-10: 1421424088
- ISBN-13: 9781421424088
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eBook Informationen
- Dateiformat: ePub
- Grösse: 27 MB
- Mit Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
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