Overview
- Completely new approach to the subject
- Includes supplementary material: sn.pub/extras
Part of the book series: Graduate Texts in Mathematics (GTM, volume 220)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
Reviews
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)
Bibliographic Information
Book Title: Smooth Manifolds and Observables
Authors: Jet Nestruev
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/b98871
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2003
Hardcover ISBN: 978-0-387-95543-8Published: 04 October 2002
eBook ISBN: 978-0-387-22739-9Published: 06 April 2006
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: XIV, 222
Topics: Manifolds and Cell Complexes (incl. Diff.Topology), Algebra, Quantum Physics, Quantum Information Technology, Spintronics