Understanding Topology: A Practical Introduction - Couverture rigide

Ault, Shaun V.

 
9781421424071: Understanding Topology: A Practical Introduction
Couverture rigide
ISBN 10 : 142142407X ISBN 13 : 9781421424071
Editeur : Johns Hopkins University Press, 2018

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Johns Hopkins University Press
Date d'édition
2018
Langue
anglais
ISBN 10 
142142407X
ISBN 13 
9781421424071
Reliure
Relié
Nombre de pages
416
Coordonnées du fabricant
non disponible
Personne responsable
non disponible