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An introduction to smooth manifolds

Majumdar, Manjusha.

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An introduction to smooth manifolds

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An introduction to smooth manifolds/ by Manjusha Majumdar, Arindam Bhattacharyya.
作者:	Majumdar, Manjusha.
其他作者:	Bhattacharyya, Arindam.
出版者:	Singapore :Springer Nature Singapore : : 2023.,
面頁冊數:	1 online resource (xv, 210 p.) :ill., digital ;24 cm.
內容註:	1. Calculus on Rn -- 2. Manifold Theory -- 3. Differential Forms -- 4. Lie Group.
Contained By:	Springer Nature eBook
標題:	Manifolds (Mathematics) -
電子資源:	https://doi.org/10.1007/978-981-99-0565-2
ISBN:	9789819905652

An introduction to smooth manifolds
Majumdar, Manjusha.

An introduction to smooth manifolds[electronic resource] /by Manjusha Majumdar, Arindam Bhattacharyya. - Singapore :Springer Nature Singapore :2023. - 1 online resource (xv, 210 p.) :ill., digital ;24 cm.

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.

ISBN: 9789819905652

Standard No.: 10.1007/978-981-99-0565-2doiSubjects--Topical Terms:

612607
Manifolds (Mathematics)

LC Class. No.: QA613

Dewey Class. No.: 516.07

An introduction to smooth manifolds
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505 0 $a 1. Calculus on Rn -- 2. Manifold Theory -- 3. Differential Forms -- 4. Lie Group.
520 $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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