Schaum's Outline of Theory and Problems of Tensor Calculus (Schaum's Outline Series)

• Publisher:   McGraw-Hill
• Number Of Pages:   224
• Publication Date:   1988-04-01
• ISBN-10 / ASIN:   0070334846
• ISBN-13 / EAN:   9780070334847

This lucid introduction for undergraduates and graduates proves fundamental for pactitioners of theoretical physics and certain areas of engineering, like aerodynamics and fluid mechanics, and exteremely valuable for mathematicians. This study guide teaches all the basics and efective problem-solving skills too.

This is the normal Schaum Outline fare: long on mechanics and solved problems, but short on heuristics and anything approaching robust explanations. I believe tensor Calculus is one area where more than just a minimal overview is needed. Although it was very helpful in the introduction for the author to have thrown in (almost as an after thought) that the key use of tensors is in situations where a "change of coordinates" is in order, at least another paragraph of this sort would have been maximally useful. Why be so skimpy on critically needed explanations? While it is understandable that a great deal of time can be saved with more cryptic notation, here it almost reaches the outer limits and the breaking point of understandability - not that I have a better solution, nor have I seen better ones in other texts, given the circumstances of the substance. Yet, for the novice, the continuing compounding makes for exceedingly difficult trudging. The mental bookkeeping gets mind-boggling. Even so, I am happy the author elected to take the more conventional component approach, grounded more in Linear Algebra, Vector Analysis and Vector Calculus - all areas where I have at least had some minimal preparation. I shutter to think what learning this subject would have been like taking whatever the alternative route is. As a final nitpick, with the newer photo print technology, one would have expected by now that Schaum would have updated its graphics and pictorials, especially in a subject where doing so could add an important new dimension of understanding. I get it that the cover has changed, but what about the graphics? (Hint, hint) With these complaints made, one certainly cannot fault the excellent examples of the use of tensors exhibited here, both as they apply to the theory of electromagnetism and to Relativity theory - less so for aerodynamics and fluid mechanics. Even with the daunting notational hurdle to overcome in the beginning, it brings into clear focus the real need for both Riemann Geometry and Tensor Calculus for solving problems of higher physics. Four Stars

This is a very usefull book for those one who want to learn tensor calculus with a lot of applications of Relativity. I enjoy it. An of course Amazon.com rules!!!!!

Este libro te lleva de la mano, como cualquiera de la serie, para un mejor entendimiento del calculo tensorial, no lo recomendaría para se el texto principal de un curso, sino un apoyo para ejercitar y repasar, es bastante claro y de gran ayuda, ya que sus ejemplos y desarrollo son de utilidad para poder desarrollar habilidad en el manejo de la notaciòn tensorial. Puede ser de gran ayuda para un curso de metodos matemàticos de la fisica.

This text is good in principle. However, I find that it has several typographical errors which reduce its value as a tool for learners.

If it is desired to get rid of much of the reluctance in tensor calculus and fight powerfully with Einstein index summation and relief the pains with Christoffel symbols and Riemann Curvature Tensor, essential for General Relativity understanding then, I think this book, with solved problems and many others for practicing, is a good guide to make General Relativity and Cosmology more pleasant. I am a self-learner of Cosmology and of these kind of mathematical topics, I used many books from the more theoretical to simpler ones and think that this and the Sokolnikoff's (Tensor Analysis and Its Applications) are a good couple of references to understand this branch of tools for Physics and making me more happy dominating the practice with these objects. Later on, in case of more interest in going deeply in the axiomatic bases of tensors (possibly by using Gravitation of Misner, Thorne and Wheeler), at least one can already have the calculus foundations to go on. I know many other wonderful books, but to me this is the one I found the best to condensate the most of all my doubts in the subject and.... go on.

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