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Basic Topology 2 [[electronic resource] ] : Topological Groups, Topology of Manifolds and Lie Groups / / by Avishek Adhikari, Mahima Ranjan Adhikari



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Autore: Adhikari Avishek <1983-> Visualizza persona
Titolo: Basic Topology 2 [[electronic resource] ] : Topological Groups, Topology of Manifolds and Lie Groups / / by Avishek Adhikari, Mahima Ranjan Adhikari Visualizza cluster
Pubblicazione: Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022
Edizione: 1st ed. 2022.
Descrizione fisica: 1 online resource (385 pages)
Disciplina: 514
Soggetto topico: Topology
Mathematical analysis
Analysis
Topologia
Soggetto genere / forma: Llibres electrònics
Persona (resp. second.): AdhikariMahima Ranjan
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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. .
Sommario/riassunto: 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.
Titolo autorizzato: Basic Topology 2  Visualizza cluster
ISBN: 981-16-6577-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996490347103316
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