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230704 ||| eng |
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|a 9789819905652
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| 100 |
1 |
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|a Majumdar, Manjusha
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| 245 |
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|a An Introduction to Smooth Manifolds
|h Elektronische Ressource
|c by Manjusha Majumdar, Arindam Bhattacharyya
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| 250 |
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|a 1st ed. 2023
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| 260 |
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|a Singapore
|b Springer Nature Singapore
|c 2023, 2023
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| 300 |
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|a XV, 210 p. 31 illus., 10 illus. in color
|b online resource
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| 505 |
0 |
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|a 1. Calculus on Rn -- 2. Manifold Theory -- 3. Differential Forms -- 4. Lie Group
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| 653 |
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|a Geometry, Differential
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| 653 |
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|a Lie groups
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| 653 |
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|a Topological Groups and Lie Groups
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| 653 |
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|a Topological groups
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| 653 |
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|a Manifolds (Mathematics)
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| 653 |
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|a Differential Geometry
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| 653 |
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|a Global analysis (Mathematics)
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| 653 |
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|a Global Analysis and Analysis on Manifolds
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| 700 |
1 |
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|a Bhattacharyya, Arindam
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 028 |
5 |
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|a 10.1007/978-981-99-0565-2
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| 856 |
4 |
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|u https://doi.org/10.1007/978-981-99-0565-2?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 516.36
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| 520 |
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|a 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
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