Understanding Topology A Practical Introduction
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.Book details
- Author:
- Shaun V. Ault
- ISBN:
- 9781421424088
- Related ISBNs:
- 9781421424071
- Publisher:
- Johns Hopkins University Press
- Pages:
- N/A
- Reading age:
- Not specified
- Includes images:
- Yes
- Date of addition:
- 2019-05-11
- Usage restrictions:
- Copyright
- Copyright date:
- 2018
- Copyright by:
- Johns Hopkins University Press
- Adult content:
- No
- Language:
- English
- Categories:
- Mathematics and Statistics, Nonfiction