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Basic Topology 2 = Topological Groups, Topology of Manifolds and Lie Groups /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Basic Topology 2/ by Avishek Adhikari, Mahima Ranjan Adhikari.
其他題名:	Topological Groups, Topology of Manifolds and Lie Groups /
作者:	Adhikari, Avishek.
其他作者:	Adhikari, Mahima Ranjan.
面頁冊數:	XXIV, 367 p. 32 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Analysis. -
電子資源:	https://doi.org/10.1007/978-981-16-6577-6
ISBN:	9789811665776

Basic Topology 2 = Topological Groups, Topology of Manifolds and Lie Groups /
Adhikari, Avishek.

Basic Topology 2Topological Groups, Topology of Manifolds and Lie Groups /[electronic resource] :by Avishek Adhikari, Mahima Ranjan Adhikari. - 1st ed. 2022. - XXIV, 367 p. 32 illus., 1 illus. in color.online resource.

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. .

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.

ISBN: 9789811665776

Standard No.: 10.1007/978-981-16-6577-6doiSubjects--Topical Terms:

669490
Analysis.

LC Class. No.: QA611-614.97

Dewey Class. No.: 514

Basic Topology 2 = Topological Groups, Topology of Manifolds and Lie Groups /
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