eBook - ePub

Understanding Topology

Name: Understanding Topology
Author: Shaun V. Ault

A Practical Introduction

Shaun V. Ault,

English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Understanding Topology

A Practical Introduction

Shaun V. Ault,

About this book

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.

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Yes, you can access Understanding Topology by Shaun V. Ault in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over one million books available in our catalogue for you to explore.