Understanding Topology: A Practical Introduction
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- Synopsis
- 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 "Aha!" moment, encouraging readers to use their intuition through local-to-global analysis and emphasizing topological invariants to lay the groundwork for algebraic topology.
- Copyright:
- 2018
Book Details
- Book Quality:
- Publisher Quality
- Book Size:
- 416 Pages
- ISBN-13:
- 9781421424088
- Related ISBNs:
- 9781421424071
- Publisher:
- Johns Hopkins University Press
- Date of Addition:
- 05/11/19
- Copyrighted By:
- N/A
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.