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    Station Eleven

    Emily St. John Mandel 9780385353304

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Topology: An Introduction with Application to Topological Groups (Phoenix Edition)

Topology: An Introduction with Application to Topological Groups (Phoenix Edition) Cover

 

Synopses & Reviews

Publisher Comments:

"Admirably meets the topology requirements for the pregraduate training of research mathematicians."--American Mathematical Monthly

Crucial to modern mathematics, topology is equally essential to many other disciplines, from quantum mechanics to sociology. This stimulating introduction employs the language of point set topology to define and discuss topological groups.

The text examines set-theoretic topology and its applications in function spaces, as well as homotopy and the fundamental group. This new theoretical knowledge is applied to concrete problems, such as the calculation of the fundamental group of the circle and a proof of the fundamental theorem of algebra. The abstract development concludes with the classification of topological groups by equivalence under local isomorphism.

Throughout this text, a sustained geometric development functions as a single thread of reasoning that unifies the topological course. Well-chosen exercises, along with a selection of problems in each chapter that contain interesting applications and further theory, help solidify students' working knowledge of topology and its applications.

Synopsis:

Topology, sometimes described as "rubber-sheet geometry", is crucial to modern mathematics and to many other disciplines--from quantum mechanics to sociology. This stimulating introduction to the field gives students a familiarity with the elementary point set of topology, including an easy acquaintance with the line and the plane, knowledge often useful in graduate mathematics programs.

Synopsis:

This stimulating introduction employs the language of point set topology to define and discuss topological groups. It examines set-theoretic topology and its applications in function spaces as well as homotopy and the fundamental group. Well-chosen exercises and problems serve as reinforcements. 1967 edition. Includes 99 illustrations.

 

Table of Contents

Introduction

1. Sets and Functions

2. Groups

3. Metric Spaces

4. Topologies

5. Topological Groups

6. Compactness and Connectedness

7. Function Spaces

8. The Fundamental Group

9. The Fundamental Group of the Circle

10. Locally Isomorphic Groups

Indexes

Product Details

ISBN:
9780486450827
Publisher:
Dover Publications
Subject:
Algebra - Linear
Author:
McCarty, George
Author:
Mathematics
Subject:
Topology
Subject:
Topological groups
Subject:
Earth Sciences - Geology
Subject:
Topology - General
Subject:
General Mathematics
Subject:
MATHEMATICS / Topology
Edition Description:
Trade Cloth
Series:
Dover Books on Mathematics
Publication Date:
20060131
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
288
Dimensions:
8.5 x 5.63 in 0.64 lb

Related Subjects

Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Topology

Topology: An Introduction with Application to Topological Groups (Phoenix Edition)
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$ In Stock
Product details 288 pages Dover Publications - English 9780486450827 Reviews:
"Synopsis" by , Topology, sometimes described as "rubber-sheet geometry", is crucial to modern mathematics and to many other disciplines--from quantum mechanics to sociology. This stimulating introduction to the field gives students a familiarity with the elementary point set of topology, including an easy acquaintance with the line and the plane, knowledge often useful in graduate mathematics programs.
"Synopsis" by ,
This stimulating introduction employs the language of point set topology to define and discuss topological groups. It examines set-theoretic topology and its applications in function spaces as well as homotopy and the fundamental group. Well-chosen exercises and problems serve as reinforcements. 1967 edition. Includes 99 illustrations.

 

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