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＜電子ブック＞
An Introduction to Smooth Manifolds / by Manjusha Majumdar, Arindam Bhattacharyya

版	1st ed. 2023.
出版者	Singapore : Springer Nature Singapore : Imprint: Springer
出版年	2023
本文言語	英語
大きさ	XV, 210 p. 31 illus., 10 illus. in color : online resource
著者標目	*Majumdar, Manjusha author Bhattacharyya, Arindam author SpringerLink (Online service)
件　名	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
一般注記	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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