عنوان

Understanding topology :

(Number (ISBN

142142407X

(Number (ISBN

1421424088

(Number (ISBN

9781421424071

(Number (ISBN

9781421424088

Title Proper

Understanding topology :

General Material Designation

[Book]

Other Title Information

a practical introduction /

First Statement of Responsibility

Shaun V. Ault.

Place of Publication, Distribution, etc.

Baltimore :

Name of Publisher, Distributor, etc.

Johns Hopkins University Press,

Date of Publication, Distribution, etc.

2018.

Date of Publication, Distribution, etc.

©2018

Specific Material Designation and Extent of Item

x, 399 pages :

Other Physical Details

illustrations ;

Dimensions

26 cm

Text of Note

Includes bibliographical references (pages 391-394) and index.

Text of Note

1. Euclidean topology. Introduction to topology -- Metric topology in Euclidean space -- Vector field in the plane. 2. Abstract topology with applications. Abstract point-set topology -- Surfaces -- Applications in graphs and knots. 3. Basic algebraic topology. The fundamental group -- Introduction to homology. Appendixes. Review of set theory and functions -- Group theory and linear algebra -- Selected solutions -- Notations.

0

Text of Note

"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; [and] provides a brief review of set theory and functions and a summation of essential topics in group theory and linear algebra. 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"--Back cover.

Text of Note

"Topology 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 chemical dynamics to determining the shape of the universe, will engage students in a way traditional topology textbooks do not"--Back cover.

Topology.

Topology.

Number

Edition

Class number

Book number

Ault, Shaun V.,1979-

Date of Transaction

20200822182401.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y