William L. Burke

Applied Differential Geometry (eBook, PDF)

• Format: PDF

Produktbeschreibung

This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the mathematics is motivated and illustrated by useful physical examples.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 31. Mai 1985
• Englisch
• ISBN-13: 9781316042830
• Artikelnr.: 41939533

Inhaltsangabe

Preface
Glossary of notation
Introduction
1. Tensors in linear spaces
2. Manifolds
3. Transformations
4. The calculus of differential forms
5. Applications of the exterior calculus
6. Classical electrodynamics
7. Dynamics of particles and fields
8. Calculus on fiber bundles
9. Gravitation
Bibliography
Index.