Tensors Differential Forms And Variational Principles(1st Edition)
Authors:
David Lovelock, Hanno Rund
In Stock
Include with your book
Free shipping: April 13, 2024Popular items with books
Total Price:
$0
Book details
ISBN: 0486658406, 978-0486658407
Book publisher: Dover Publications
Tensors Differential Forms And Variational Principles 1st Edition Summary: 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.
Customers also bought these books
Vhxorrz Spot Markers 18 Pcs 9 Inch 10 Inch Non Slip Rubber Agility Markers For Football -
?Vhxorrz
ISBN: B08XLHY2FT
$0 $62.00Frequently Bought Together
Intermediate Statistics Using SPSS - 1st Edition
Herschel Knapp
ISBN: 1506377432, 978-1506377438
$0 $85.00
Managerial Accounting The Cornerstone Of Business Decision Making - 8th Edition
Maryanne M. Mowen
ISBN: 0357715349, 978-0357715345
$0 $249.95
A Veterinary Materia Medica And Clinical Repertory With Materia Medica Of The Nosodes - Revised Edition
George Macleod Mrcvs Dvsm Vet Ff Hom
ISBN: 0852072570, 978-0852072578
$0 $64.04
Linear Operator Theory In Engineering And Science - 1st Edition
Arch W. Naylor
ISBN: 038795001X, 978-0387950013
$0 $37.77
The Calculus Of Consent Logical Foundations Of Constitutional Democracy - 1st Edition
James M. Buchanan
ISBN: 0472061003, 978-0472061006
$0 $20.68Top Reviews for Books
