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Tensors, Differential Forms, and Variational Principles | 
 enlarge | Authors: David Lovelock, Hanno Rund
Publisher: Dover Publications
Category: Book
List Price: $16.95
Buy New: $7.49
You Save: $9.46 (56%)
New (25) Used (22) from $4.94
Rating:  13 reviews
Sales Rank: 338374
Media: Paperback
Pages: 384
Number Of Items: 1
Shipping Weight (lbs): 0.8
Dimensions (in): 8.4 x 5.3 x 0.8
ISBN: 0486658406
Dewey Decimal Number: 515.63
EAN: 9780486658407
ASIN: 0486658406
Publication Date: April 1, 1989
Availability: Usually ships in 1-2 business days
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Product Description
Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques, with large number of problems, from routine manipulative exercises to technically difficult assignments.
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| Customer Reviews: Read 8 more reviews...
 One of the best books I've studied on invariant variational principles. July 29, 2007
A. Van Dyk (Philadelphia)
1 out of 1 found this review helpful
I bought this book six years ago for the exercises on tensor analysis and differential forms and it has become one of my favorite texts on invariant variational principles. The authors develop their account of tensors in a clear and logical manner, with several diagrams in the first few chapters to highlight geometrical concepts. The authors provide a commentary in words to accompany the mathematical exposition. I appreciate their pointing out the various implications of the results they develop and I found the exercises helpful and a useful aid to the development of the theory.
Chapter 6 on the calculus of variations for invariance problems under coordinate transformations is one of the best I have studied. Their explanation of the theorems of Noether and reference to Caratheodory's work clearly explain some of the deeper concepts of invariance. The authors include worked examples which demonstrate the application of the ideas as they are developed. Variational principles are developed further in subsequent chapters. Chapter 8 describes the application variational principles to invariant field theories and the Einstein vacuum field equations.
 Cryptic February 22, 2007
Peidyen (Orlando)
2 out of 3 found this review helpful
I think I have a decent handle on the prerequisites for this subject, and I frankly found this to be cryptic. Perhaps the style is a bit archaic; but, I found some of the general relativity texts to give a better introduction to the sujbect of tensors. I would not recommend this as an introductory text.
Helpful for the advanced student January 30, 2007
Erik Bijkerk (The Netherlands)
0 out of 2 found this review helpful
This is a helpful book for the advanced undergraduate/graduate student. It contains difficult mathematics, so it is a good overview of the matter, but not for the enthusiastic "layman" (pardon my language). This is because a lot of math knowledge is presupposed.
Not for self study April 21, 2006
giancarlo bernacchi (Milan, Italy)
4 out of 5 found this review helpful
I bought this book togheter with Kay - Tensor analysis - when I began to study tensors. Kay could be not a masterpiece, but you can use it to learn the subject with some efforts but without a teacher. Don't try to do the same thing with Lovelock. May be this book is very profound, but you have better avoiding it as a self study text.
A MUST, if one wants to learn the subject September 11, 2005
PST (Eislingen Deutschland)
5 out of 8 found this review helpful
The two authors must be experts in this field. Without wasting words, they always well motivate, why something is done. It starts at a gradual pace, and is never extremely demanding mathematically.
It is rare, that one finds a flawless book, but this is certainly one!
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