Vector and Tensor Analysis with Applications | 
enlarge | Authors: A. I. Borisenko, I. E. Tarapov Publisher: Dover Publications Category: Book
List Price: $14.95 Buy New: $2.75 You Save: $12.20 (82%)
New (17) Used (30) from $2.02
Rating: 5 reviews Sales Rank: 258237
Media: Paperback Pages: 257 Number Of Items: 1 Shipping Weight (lbs): 0.7 Dimensions (in): 8 x 5.6 x 0.6
ISBN: 0486638332 Dewey Decimal Number: 511 EAN: 9780486638331
Publication Date: October 1, 1979 Availability: Usually ships in 1-2 business days
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Product Description
Definition of vectors and discussion of algebraic operations on vectors leads to concept of tensor and algebraic operations on tensors. Also includes a systematic study of the differential and integral calculus of vector and tensor functions of space and time, more. Concise, eminently readable text. Worked out problems and solutions.
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| Customer Reviews:
Excellent introductory tensor analysis text book July 14, 1999 6 out of 6 found this review helpful
It clearly introduce covariant , contravariant component of tensor and metric tensor ,covariant derivative and Christoffel symbols.Many solved problems at the end of each Chapter make the text easy to understanding.
Dated, but well-written and complete March 28, 2000 Bernardo Vargas (Weimar, Germany) 6 out of 6 found this review helpful
This book is a translation from the Russian of a regarded text written in the 1960's. Taking this into account you cannot expect to find a state-of-the-art exposition of the subject. However, the book is written in a very concise and focused style, making it endurable. Its clear introduction to many delicate topics (covariant derivatives, metric tensors, geodesics, etc.) is still valuable even now when the differential form approach seems to have won the battle. Also, the sections it devotes to integral theorems look more in touch with current trends in mathematics than most of the classical texts at this level.
A clear development of vector and tensor concepts. January 13, 1999 7 out of 8 found this review helpful
I have a solid foundation in vector analysis, but never felt comfortable with tensors and generalized coordinates, yet these are necessary for much of modern physics. This book was an ideal fit for my background. It presented a clear and steady development of both tensor and vector concepts with illustrations and examples. Covariant and contravariant components, metrics, and generalized coordinates were developed alongside of orthogonal basis concepts. Then, after the first half of the book developed the tools, the second half of the book presented analysis covering such topics as Stokes and Gauss' theorem, finishing with the fundamental theorem of vector analysis. My only complaint is that the book ended where it did. A section on more advanced tensor concepts would have fit in nicely.
Must Dig to Find Errors November 3, 2002 10 out of 10 found this review helpful
While using this to study vector and tensor calculus, I worked through the concepts being presented and also found a number of errors. Wasn't sure if that was a good thing (that I was understanding the material and was able, therefore, to find the errors) or a bad thing (that they were there in the first place). I give it a ranking of 3 because it presents the concepts well (well enough for the student to find the mistakes). But, it should not be the only text a student uses.
Good coverage of concepts, but full of errors. November 14, 1999 8 out of 9 found this review helpful
All of the basic concepts of introductory Tensor Analysis were adequately dealt with in a relatively clear and concise way; however, the numerous errors, oversimplifications, and oversights was a constant source of annoyance and doubt.
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