Understanding Topology : A Practical Introduction

Shaun V Ault

ISBN 10: 142142407X / ISBN 13: 9781421424071

Published by Johns Hopkins University Press Jan 2018, 2018

About this Item

Neuware - 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 'Aha!' moment, encouraging readers to use their intuition through local-to-global analysis and emphasizing topological invariants to lay the groundwork for algebraic topology.

Seller Inventory # 9781421424071

Bibliographic Details

• Title: Understanding Topology : A Practical Introduction
• Publisher: Johns Hopkins University Press Jan 2018
• Publication Date: 2018
• Language: English
• ISBN 10: 142142407X
• ISBN 13: 9781421424071
• Binding: Buch
• Condition: Neu
• Dimensions: 261W x 182H x 30D millimeters 261 millimeters width by 182 millimeters height by 30 millimeters depth
• Weight: 1009 grams

About this title

Synopsis

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.

About the Author

Shaun V. Ault is an associate professor at Valdosta State University.