Differential Forms and Connections

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Differential Forms and Connections

Differential Forms and Connections

Name: Differential Forms and Connections
ISBN: 9780521468008

R. W. R. Darling

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This book introduces the tools of modern differential geometry--exterior calculus, manifolds, vector bundles, connections--and covers both classical surface theory, the modern theory of connections, and curvature. Also included is a chapter on applications to theoretical physics. The author uses the powerful and concise calculus of differential forms throughout. Through the use of numerous concrete examples, the author develops computational skills in the familiar Euclidean context before exposing the reader to the more abstract setting of manifolds. The only prerequisites are multivariate calculus and linear algebra; no knowledge of topology is assumed. Nearly 200 exercises make the book ideal for both classroom use and self-study for advanced undergraduate and beginning graduate students in mathematics, physics, and engineering.

Kategorie:

Mathematics

Rok:

1994

Wydawnictwo:

Cambridge University Press

Język:

english

Strony:

268

ISBN 10:

0521468000