| Dewey Class |
514 |
| Title |
Basic Topology 2 ( EBook) : Topological Groups, Topology of Manifolds and Lie Groups / / by Avishek Adhikari, Mahima Ranjan Adhikari. |
| Author |
Adhikari, Avishek |
| Added Personal Name |
Adhikari, Mahima Ranjan |
| Other name(s) |
SpringerLink (Online service) |
| Edition statement |
1st ed. 2022. |
| Publication |
Singapore : : Springer Nature Singapore : : Imprint: Springer, , 2022. |
| Physical Details |
XXIV, 367 p. 32 illus., 1 illus. in color. : online resource. |
| ISBN |
9789811665776 |
| Summary Note |
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.: |
| Contents note |
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. . |
| Mode of acces to digital resource |
Digital reproduction.- |
| Cham : |
| Springer International Publishing, |
| 2022. - |
| Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.1007/978-981-16-6577-6 |
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