Authors:
- Presents the essence of the theory on smooth manifolds
- Covers key topics such as submanifolds, tensor fields, Lie groups, integration (including Stokes’ theorem and De Rham cohomology), as well as manifolds
- Includes comprehension exercises throughout the text and challenging problems at the end of each chapter
Part of the book series: Compact Textbooks in Mathematics (CTM)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
Reviews
“The work is written in a clear and precise style. The notions are very well presented and many examples are given. Moreover, at the end of each chapter, there are several challenging problems for gifted students. In the reviewer’s opinion, this monograph will be of great interest to graduate students and researchers working in the field of differential geometry.” (Gabriel Eduard Vilcu, zbMATH 07235511, 2020)
Authors and Affiliations
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Institute of Mathematics and Statistics, University of São Paulo, São Paulo, Brazil
Claudio Gorodski
About the author
Bibliographic Information
Book Title: Smooth Manifolds
Authors: Claudio Gorodski
Series Title: Compact Textbooks in Mathematics
DOI: https://doi.org/10.1007/978-3-030-49775-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-49774-3Published: 02 August 2020
eBook ISBN: 978-3-030-49775-0Published: 01 August 2020
Series ISSN: 2296-4568
Series E-ISSN: 2296-455X
Edition Number: 1
Number of Pages: XII, 154
Number of Illustrations: 11 b/w illustrations
Topics: Global Analysis and Analysis on Manifolds, Topological Groups, Lie Groups, Differential Geometry