ENGLISH

Basic Topology 2: Topological Groups, Topology of Manifolds and Lie Groups

By Mahima Ranjan Adhikari , Avishek Adhikari

Book information

Publisher
Springer
Year
2022
ISBN
9811665761, 9789811665769
Language
english
Format
EPUB
Filesize
25 MB (26104114 bytes)
Pages
384\0
Time added
2024-08-03 12:36:21

Description

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.

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