Basic topology. 2, Topological groups, topology of manifolds and Lie groups / Avishek Adhikari, Mahima Ranjan Adhikari.
2022
QA611
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Title
Basic topology. 2, Topological groups, topology of manifolds and Lie groups / Avishek Adhikari, Mahima Ranjan Adhikari.
ISBN
9789811665776 (electronic bk.)
981166577X (electronic bk.)
9789811665769
9811665761
981166577X (electronic bk.)
9789811665769
9811665761
Published
Singapore : Springer, 2022.
Language
English
Description
1 online resource (xxiv, 367 pages) : illustrations (some color)
Item Number
10.1007/978-981-16-6577-6 doi
Call Number
QA611
Dewey Decimal Classification
514
Summary
This second of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, algebra, and the theory of numbers. Offering a proper background on topology, analysis, and algebra, this volume discusses the topological groups and topological vector spaces that provide many interesting geometrical objects which relate algebra with geometry and analysis. This volume follows a systematic and comprehensive elementary approach to the topology related to manifolds, emphasizing differential topology. It further communicates the history of the emergence of the concepts leading to the development of topological groups, manifolds, and also Lie groups as mathematical topics with their motivations. This book will promote the scope, power, and active learning of the subject while covering a wide range of theories and applications in a balanced unified way.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed September 14, 2022).
Added Author
Adhikari, Mahima Ranjan, author.
Available in Other Form
Print version: 9789811665769
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Table of Contents
1. Background on Topology, Analysis and Algebra
2. Topological Groups
3. Topology of Manifolds
4. Lie Groups and Lie Algebra
5. Brief History of Topological Groups, Manifold and Lie Groups.
2. Topological Groups
3. Topology of Manifolds
4. Lie Groups and Lie Algebra
5. Brief History of Topological Groups, Manifold and Lie Groups.