Authors:
- The first book to provide a comprehensive exposition of the new concept of D-differentiation
- Includes new results - previously unpublished - fully worked examples and applications
- Presents new methods which shed light on the classical material of differential geometry
Part of the book series: Springer Praxis Books (PRAXIS)
Part of the book sub series: Mathematics (MATHEMAT)
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About this book
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.
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.
Keywords
- D-differentiation
- covariant differentiation
- differential geometry
- lie differentiation
- mathematical physics
- tensor calculus
Bibliographic Information
Book Title: Topics in Differential Geometry: A New Approach Using D-Differentiation
Authors: Donal J. Hurley, Michael A. Vandyck
Series Title: Springer Praxis Books
Publisher: Springer London
Copyright Information: Springer-Verlag London 2002
Hardcover ISBN: 978-1-85233-491-8Published: 14 November 2001
Edition Number: 1
Number of Pages: XIV, 178