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＜E-Book＞
An Introduction to Smooth Manifolds / by Manjusha Majumdar, Arindam Bhattacharyya

Edition	1st ed. 2023.
Publisher	(Singapore : Springer Nature Singapore : Imprint: Springer)
Year	2023
Language	English
Size	XV, 210 p. 31 illus., 10 illus. in color : online resource
Authors	*Majumdar, Manjusha author Bhattacharyya, Arindam author SpringerLink (Online service)
Subjects	LCSH:Geometry, Differential LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Topological groups LCSH:Lie groups FREE:Differential Geometry FREE:Global Analysis and Analysis on Manifolds FREE:Topological Groups and Lie Groups
Notes	1. Calculus on Rn -- 2. Manifold Theory -- 3. Differential Forms -- 4. Lie Group Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth manifolds. It is said that mathematics can be learned by solving problems and not only by just reading it. To serve this purpose, this book contains a sufficient number of examples and exercises after each section in every chapter. Some of the exercises are routine ones for the general understanding of topics. The book also contains hints to difficult exercises. Answers to all exercises are given at the end of each section. It also provides proofs of all theorems in a lucid manner. The only pre-requisites are good working knowledge of point-set topology and linear algebra HTTP:URL=https://doi.org/10.1007/978-981-99-0565-2

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