Topics in Differential Geometry: A New Approach Using D-Differentiation
Seiten
2001
|
2002 ed.
Springer London Ltd (Verlag)
9781852334918 (ISBN)
Springer London Ltd (Verlag)
9781852334918 (ISBN)
Offers a comprehensive and self-contained treatment of the concept of D-differentiation suitable for advanced graduate students and researchers in the fields of differential geometry, mathematics and mathematical physics.
D-differentiation is a unified operation that enables aspects of differential geometry to be developed and presented from a new perspective. This book is the first comprehensive and self-contained treatment of this new method. It demonstrates, concisely but without sacrificing rigour or intelligibility, how even elementary concepts in differential geometry can be reformulated to obtain new and valuable insights. In addition, D-differentiation has applications in several areas of physics, such as classical mechanics, solid-state physics and general relativity.
This book will prove useful to all users of D-differentiation - from advanced graduate students onwards - and to those researching into new approaches to some branches of physics and mathematics.
D-differentiation is a unified operation that enables aspects of differential geometry to be developed and presented from a new perspective. This book is the first comprehensive and self-contained treatment of this new method. It demonstrates, concisely but without sacrificing rigour or intelligibility, how even elementary concepts in differential geometry can be reformulated to obtain new and valuable insights. In addition, D-differentiation has applications in several areas of physics, such as classical mechanics, solid-state physics and general relativity.
This book will prove useful to all users of D-differentiation - from advanced graduate students onwards - and to those researching into new approaches to some branches of physics and mathematics.
Preface.- C¿ Manifolds.- Affine Manifolds.- Metric Manifolds.- Bundle Formalism for D-Differentiation.- Applications of D-Differentiation.- Appendix: Complements about Lie Differentiation.- Bibliography.- Index.
| Reihe/Serie | Mathematics | Springer Praxis Books |
|---|---|
| Zusatzinfo | XIV, 178 p. |
| Verlagsort | England |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-13 | 9781852334918 / 9781852334918 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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