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An introduction to smooth manifolds

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to smooth manifoldsby Manjusha Majumdar, Arindam Bhattacharyya.
Author:	Majumdar, Manjusha.
other author:	Bhattacharyya, Arindam.
Published:	Singapore :Springer Nature Singapore :2023.
Description:	1 online resource (xv, 210 p.) :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Manifolds (Mathematics)
Online resource:	https://doi.org/10.1007/978-981-99-0565-2
ISBN:	9789819905652$q(electronic bk.)

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$q(electronic bk.)

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

198996
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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650 2 4 $a Topological Groups and Lie Groups. $3 915048
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