An Introduction to Smooth Manifolds

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 example...

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Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Majumdar, Manjusha (Egilea), Bhattacharyya, Arindam (Egilea)
Erakunde egilea: SpringerLink (Online service)
Formatua: Baliabide elektronikoa eBook
Hizkuntza:ingelesa
Argitaratua: Singapore : Springer Nature Singapore : Imprint: Springer, 2023.
Edizioa:1st ed. 2023.
Gaiak:
Sarrera elektronikoa:https://doi.org/10.1007/978-981-99-0565-2
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245 1 3 |a An Introduction to Smooth Manifolds  |h [electronic resource] /  |c by Manjusha Majumdar, Arindam Bhattacharyya. 
250 |a 1st ed. 2023. 
264 1 |a Singapore :  |b Springer Nature Singapore :  |b Imprint: Springer,  |c 2023. 
300 |a 1 online resource (XV, 210 p. 31 illus.).  |b 10 illus. in color. 
336 |a text  |b txt  |2 rdacontent 
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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. 
588 |a Print version record. 
650 0 |a Geometry, Differential. 
650 0 |a Global analysis (Mathematics). 
650 0 |a Manifolds (Mathematics). 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 1 4 |a Differential Geometry. 
650 2 4 |a Global Analysis and Analysis on Manifolds. 
650 2 4 |a Topological Groups and Lie Groups. 
700 1 |a Bhattacharyya, Arindam.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9789819905645 
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856 4 0 |u https://doi.org/10.1007/978-981-99-0565-2 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)