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.

A fresh approach to topology makes this complex topic easier for students to master.

About the Author

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

Reviews
A 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 textbook's clear organization, worked examples, and concise writing style support a thorough understanding of basic topological principles, and might reasonably be expected to become a standard reference for teaching backgrounds of topology in the years to come.
-Marek Golasinski (Olsztyn), Zentralblatt Math
A useful book for undergraduates, with the initial introduction to concepts being at the level of intuition and analogy, followed by mathematical rigour.
-John Bartlett CMath MIMA, Mathematics Today



Book Information
ISBN 9781421424071
Author Shaun V. Ault
Format Hardback
Page Count 416
Imprint Johns Hopkins University Press
Publisher Johns Hopkins University Press
Weight(grams) 998g
Dimensions(mm) 254mm * 178mm * 30mm