Applied Differential Geometry - William L. Burke

Applied Differential Geometry

Buch | Softcover
436 Seiten
1985
Cambridge University Press (Verlag)
978-0-521-26929-2 (ISBN)
89,75 inkl. MwSt
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.

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.

Erscheint lt. Verlag 31.5.1985
Verlagsort Cambridge
Sprache englisch
Maße 149 x 228 mm
Gewicht 570 g
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-521-26929-6 / 0521269296
ISBN-13 978-0-521-26929-2 / 9780521269292
Zustand Neuware
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