Analysis and Algebra on Differentiable Manifolds

A Workbook for Students and Teachers

P.M. Gadea, J.Munoz Masque (Autoren)

Buch | Hardcover

493 Seiten

2001
Kluwer Academic Publishers (Verlag)
9781402000270 (ISBN)

Infos

This book is a collection of completely solved exercises on differentiable manifolds, Lie groups, fibre bundles, and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. It is the first book of completely solved problems on differentiable manifolds, and therefore will be a complement to the books on theory. A 42-page formulary is included which will be useful as an aide-memoire, especially for teachers and researchers on these topics. Audience: The book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics, and some branches of engineering.

Inhalt

Prologue. Preface. Acknowledgments. About the Authors. 1. Differentiable Manifolds. 2. Tensor Fields and Differential Forms. 3. Integration on Manifolds. 4. Lie Groups. 5. Fibre Bundles. 6. Riemannian Geometry. 7. Some Definitions and Theorems. 8. Some Formulas and Tables. 9. Manual of `Superficies'. 10. Indices and Notations. References. List of Notations. List of Figures. Index.

Produkt-Details

• Erscheint lt. Verlag: 31.10.2001
• Reihe/Serie: Kluwer Texts in the Mathematical Sciences ; v. 23
• Zusatzinfo: illustrations
• Sprache: englisch
• Maße: 159 x 241 mm
• Gewicht: 1021 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-13: 9781402000270 / 9781402000270
• Zustand: Neuware