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Schaums Outline of Tensor Calculus (Schaum's Outline Series) [Paperback]

David C. Kay (Author)
4.5 out of 5 stars  See all reviews (8 customer reviews)
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Book Description

Publication Date: 1 Mar 2011 | ISBN-10: 9780071756037 | ISBN-13: 978-0071756037 | Edition: Revised edition

The ideal review for your tensor calculus course

More than 40 million students have trusted Schaum’s Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum’s Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice.

  • 300 solved problems
  • Coverage of all course fundamentals
  • Effective problem-solving techniques
  • Complements or supplements the major logic textbooks
  • Supports all the major textbooks for tensor calculus courses

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Product details

  • Paperback: 240 pages
  • Publisher: Schaum's Outlines; Revised edition edition (1 Mar 2011)
  • Language: English
  • ISBN-10: 9780071756037
  • ISBN-13: 978-0071756037
  • ASIN: 0071756035
  • Product Dimensions: 20.8 x 1 x 27.4 cm
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (8 customer reviews)
  • Amazon Bestsellers Rank: 112,626 in Books (See Top 100 in Books)

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  • See Complete Table of Contents

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Product Description

Book Description

Confusing Textbooks? Missed Lectures?

Not Enough Time?

Fortunately for you, there's Schaum's.

More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you

  • Practice problems with full explanations that reinforce knowledge
  • Coverage of the most up-to-date developments in your course field
  • In-depth review of practices and applications

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!

Schaum's Outlines-Problem Solved.

--This text refers to an alternate Paperback edition.

About the Author

David C. Kay, Ph.D. is a professor and chairman of mathematics at the University of North Carolina at Asheville. Formerly he taught in the graduate program at the University of Oklahoma for 17 years. He is the author of more than 30 articles in the areas of distance geometry, convexity theory, and related functional analysis.
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A study of tensor calculus requires a certain amount of background material that may seem unimportant in itself, but without which one could not proceed very far. Read the first page
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Customer Reviews

4.5 out of 5 stars
8 reviews
4.5 out of 5 stars
Most Helpful Customer Reviews
14 of 14 people found the following review helpful
5.0 out of 5 stars Good first inmersion in tensor calculus 9 Jan 2008
By Daniele Cadorin
Format:Paperback
If you want to get rid of much of your reluctance in tensor calculus and fight powerfully with Einstein index summation and relief your 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 the simplest 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, if you are more interested in going deeply in the axiomatic bases of tensors (possibly by using Gravitation of Misner, Thorne and Wheeler), at least you'll already have the calculus foundations to go on. I know many others would say that there are 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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18 of 19 people found the following review helpful
5.0 out of 5 stars Good Book, But Hard As A Rabid Gorilla 29 Jun 1999
By A Customer
Format:Paperback
Tensors are a booger to learn, even with a great guide like this. It's just hard. But this is the best guide available. More completely worked out problems would be nice. A very very solid grounding in vector analysis and linear algebra is required before tackling this book, however.
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2 of 2 people found the following review helpful
5.0 out of 5 stars Tensor Calculus by David C. Kay, Schaum's Outlines 1988, ISBN 0 07 033484 6 25 Sep 2010
By Roy Ernest Ballard
Format:Paperback
This book has the clarity one has come to expect of the Schaum series. There are plenty of worked examples and there is a minimum of mathematical jargon. It would be improved by adding a list of the symbols employed.
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2 of 2 people found the following review helpful
5.0 out of 5 stars fantastic choice 7 Oct 2009
By S. Valentina
Format:Paperback
The best book I've ever seen on tensors, with clear notation, super-useful exercises. "Must-have"! For tensors' lovers
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1 of 1 people found the following review helpful
5.0 out of 5 stars Mandatory for high level physics 31 Jan 2012
By Josh V.
Format:Paperback|Amazon Verified Purchase
I am currently a physics student. Anyone in their fourth year will tell you that there's a lot of relativity going down. I'm taking courses in relativistic quantum mechanics, relativistic electrodynamics, general relativity, particle physics (relativistic kinematics amongst others).

What comes up time and time again is tensor analysis, due to the continual use of four-vectors to specify special relativistic quantities. This is generally the first time that students really need to understand tensor calculus. I had a brief introduction to index notation in my second year and tensors crop up every now and again but generally it's enough to just consider them as a matrix.

Around the first half of the general relativity course is learning the maths. It's all fun stuff like coordinate transforms, four vectors, one-forms, working out what the hell is up with upper and lower indices and non-flat spacetimes.

Tensors are the sort of thing that are straightforward once you've done it a hundred times, but as a beginner it's easy to get lost in the indicies and the summation convention. Unfortunately most courses don't give you that much practice and simply tell you the general axioms expecting you to be able to use them. So enter Schaum.

The outlines give you a LOT of problems, all with solutions, and let you build up your knowledge from scratch. Chapter 1 is a nice introduction to the summation convention, letting you get used to fiddling with dummy indices, etc. Chapter 2 continues hard and fast into linear algebra and you should have a very good understanding of it including vectors, matrices, Jacobians and partial differentiation.... Read more ›
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2.0 out of 5 stars Much machinery, few concepts 29 Mar 2012
By giancarlo bernacchi
Format:Paperback
Sorry, my assessment does not agree with the majority. This book belongs to the mythical "Schaum Outline Series" without having the qualities.
The approach to Tensor Analysis is the most traditional "by components" (except a final chapter where the broad lines of the alternative geometric approach are piled up in a very formal and almost incomprehensible summary). There is no general agreement, but I believe that the geometric approach is the best suited to acquire the basic concepts in a systematic way, giving them a strenght that the old-fashion approach cannot give (note that my faith is that one of a convert). In fact, the conceptual part is the great absent in this book (you can read it almost to the end without having clarified, if you have not yet clear, the very fundamental invariance properties of tensors subject to coordinate transformations!).
Also the traditional separation between statements and problems characteristic of Schaum's Outline is here interpreted in a way that doesn't seem to be the best: theoretical parts are somewhat abstract and formal, while problems are mostly examples of mechanisms not suitable to clarify the concepts. Moreover, an extensive use of matrix calculus (to which a far too insufficient review chapter is devoted) does not help the beginner to familiarize with the use of the summation convention.
The second half of the book is dedicated to topics of interest for Differential Geometry but marginal for General Relativity. This text is not recommendable as an introduction to the mathematics of General Relativity, to which it is rather misleading. Self-study risky, too. Instead, it may be useful for consultation of certain subjects, when the same are somewhat known.... Read more ›
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