Smooth Manifolds and Observables
Smooth Manifolds and Observables
Summary
An introduction to fiber spaces and differential operators on smooth manifolds. It explains why differential calculus on manifolds can be considered as an aspect of commutative algebra.
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Smooth Manifolds and Observables by Jet Nestruev
An introduction to fiber spaces and differential operators on smooth manifolds. It explains why differential calculus on manifolds can be considered as an aspect of commutative algebra.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)
| SKU | Unavailable |
| ISBN 13 | 9780387955438 |
| ISBN 10 | 0387955437 |
| Title | Smooth Manifolds and Observables |
| Author | Jet Nestruev |
| Series | Graduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2002-10-04 |
| Number of pages | 222 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |