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- Reviews
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From the reviews:
"Main themes of the book are manifolds, fibre bundles and differential operators acting on sections of vector bundles. … A classical treatment of these topics starts with a coordinate description of a manifold M … . The present book is based on an alternative point of view, where calculus on manifolds is treated as a part of commutative algebra. … The book contains quite a few exercises and many useful illustrations." (EMS, September, 2004)
"The book provides a self-contained introduction to the theory of smooth manifolds and fibre bundles, oriented towards graduate students in mathematics and physics. The approach followed here, however, substantially differs from most textbooks on manifold theory. … This book is certainly quite interesting and may appeal even to people who merely want to study algebraic geometry, in the sense that they will gain extra insight here by the attention which is paid to making certain constructions in algebraic geometry physically or intuitively acceptable." (Willy Sarlet, Zentralblatt MATH, Vol. 1021, 2003)
- Table of contents (11 chapters)
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Introduction
Pages 1-11
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Cutoff and Other Special Smooth Functions on ℝn
Pages 13-19
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Algebras and Points
Pages 21-36
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Smooth Manifolds (Algebraic Definition)
Pages 37-51
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Charts and Atlases
Pages 53-63
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Table of contents (11 chapters)
- Download Preface 1 PDF (127.5 KB)
- Download Sample pages 1 PDF (230.8 KB)
- Download Table of contents PDF (71.7 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Smooth Manifolds and Observables
- Authors
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- Jet Nestruev
- Series Title
- Graduate Texts in Mathematics
- Series Volume
- 220
- Copyright
- 2003
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer Science+Business Media New York
- eBook ISBN
- 978-0-387-22739-9
- DOI
- 10.1007/b98871
- Hardcover ISBN
- 978-0-387-95543-8
- Series ISSN
- 0072-5285
- Edition Number
- 1
- Number of Pages
- XIV, 222
- Topics