Tensors, Differential Forms and Variational Principles download free [PDF and Ebook] by David Lovelock

Tensors, Differential Forms and Variational Principles download free [PDF and Ebook] by David Lovelock year 1989
  • Book name: Tensors, Differential Forms and Variational Principles
  • Author: David Lovelock
  • Release date: 1989/10/23
  • Publisher: DOVER PUBLICATIONS INC.
  • Language: English
  • Genre or Collection: Technology and Engineering
  • ISBN: 9780486658407
  • Rating: 7.46 of 10
  • Votes: 168
  • Review by: Mackenzie Spalding
  • Review rating: 8.34 of 10
  • Review Date: 2018/11/20
  • Total pages: 400
  • Includes a PDF summary of 34 pages
  • Description or summary of the book: The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the interaction between the concept of invariance and the calculus of variations is examined. This interaction is of profound importance to all physical field theories.Beginning with simple physical examples, the theory of tensors and forms is developed by a process of successive abstractions. This enables the reader to infer generalized principles from concrete situations - departing from the traditional approach to tensors and forms in terms of purely differential-geometric concepts.The treatment of the calculus of variations of single and multiple integrals is based ab initio on Carathéodory's method of equivalent integrals. Subsequent material explores the effects of invariance postulates on variational principles, focusing ultimately on relativistic field theories. Other discussions include: - integral invariants- simple and direct derivations of Noether's theorems- Riemannian spaces with indefinite metricsThe emphasis in this book is on analytical techniques, with abundant problems, ranging from routine manipulative exercises to technically difficult problems encountered by those using tensor techniques in research activities. A special effort has been made to collect many useful results of a technical nature, not generally discussed in the standard literature. The Appendix, newly revised and enlarged for the Dover edition, presents a reformulation of the principal concepts of the main text within the terminology of current global differential geometry, thus bridging the gap between classical tensor analysis and the fundamentals of more recent global theories.
  • Estimated reading time (average reader): 19H26M39S
  • Other categories, genre or collection: Calculus, Calculus & Mathematical Analysis, Differential Calculus & Equations, Maths For Scientists, Maths For Engineers
  • Available formats: TXT, PDF, OEB, DOC, LRF, PML, WORD, EPUB. Compressed in 7Z, RAR, LZMA, ZIP, TBZ2
  • Download servers: Mediafire, Uploaded, Depositfiles, Google Drive, Microsoft OneDrive
  • Format: Paperback
  • Approximate value: 16.97 USD
  • Dimensions: 137x215x19mm
  • Weight: 402g
  • Printed by: Not Available
  • Published in: New York, United States
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