M. Crampin, F. A. Pirani, Felix Arnold E. Pirani

Applicable Differential Geometry

• Broschiertes Buch

Produktbeschreibung

This is an introduction to geometrical topics useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing the reader for the study of modern treatments of mechanics, gauge field theories, relativity and gravitation.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 404
• Erscheinungstermin: 19. April 1987
• Englisch
• Abmessung: 229mm x 152mm x 24mm
• Gewicht: 653g
• ISBN-13: 9780521231909
• ISBN-10: 0521231906
• Artikelnr.: 21165449

Inhaltsangabe

The background: vector calculus
1. Affine spaces
2. Curves, functions and derivatives
3. Vector fields and flows
4. Volumes and subspaces: exterior algebra
5. Calculus of forms
6. Frobenius's theorem
7. Metrics on affine spaces
8. Isometrics
9. Geometry of surfaces
10. Manifolds
11. Connections
12. Lie groups
13. The tangent and cotangent bundles
14. Fibre bundles
15. Connections revisited.