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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Basic Topology 2 - Topological Groups, Topology of Manifolds and Lie Groups (Hardcover, 1st ed. 2022)
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Basic Topology 2 - Topological Groups, Topology of Manifolds and Lie Groups (Hardcover, 1st ed. 2022)
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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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