Applied Differential Geometry

William L. Burke (Autor)

Buch | Hardcover

431 Seiten

1985
Cambridge University Press (Verlag)
978-0-521-26317-7 (ISBN)

Titel erscheint in neuer Auflage

Artikel merken

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	152 x 228 mm
Gewicht	670 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-521-26317-4 / 0521263174
ISBN-13	978-0-521-26317-7 / 9780521263177
Zustand	Neuware