R. W. R. Darling

Differential Forms and Connections

• Broschiertes Buch

Produktbeschreibung

This 1994 book introduces the tools of modern differential geometry, exterior calculus, manifolds, vector bundles and connections, to advanced undergraduate and beginning graduate students in mathematics, physics and engineering. There are nearly 200 exercises, making the book ideal for both classroom use and self-study.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 270
• Erscheinungstermin: 28. Oktober 1994
• Englisch
• Abmessung: 254mm x 178mm x 15mm
• Gewicht: 516g
• ISBN-13: 9780521468008
• ISBN-10: 0521468000
• Artikelnr.: 21788105

Inhaltsangabe

Preface
1. Exterior algebra
2. Exterior calculus on Euclidean space
3. Submanifolds of Euclidean spaces
4. Surface theory using moving frames
5. Differential manifolds
6. Vector bundles
7. Frame fields, forms and metrics
8. Integration on oriented manifolds
9. Connections on vector bundles
10. Applications to gauge field theory
Bibliography
Index.