000			01829nam a22002775i 4500
001			90714
005			20231026102222.0
010			_a978-981-16-6577-6 _dcompra
090			_a90714
100			_a20231023d2022 k||y0pory50 ba
101	0		_aeng
102			_aSG
200	1		_aBasic topology 2 _bDocumento eletrónico _etopological groups, topology of manifolds and lie groups _fby Avishek Adhikari, Mahima Ranjan Adhikari
210			_aSingapore _cSpringer Nature Singapore _cSpringer _d2022
215			_aXXIV, 367 p. _cil.
303			_aThis 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.
606			_aTopology
606			_aMathematical analysis
680			_aQA611-614.97
700	1		_aAdhikari _bAvishek
701	1		_aAdhikari _bMahima Ranjan
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-981-16-6577-6
942			_2lcc _cF _n0