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Applications of Tensor Analysis (Dover Books on Mathematics) Paperback

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Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 352 pages
  • Publisher: Dover Publications (October 20, 2011)
  • Language: English
  • ISBN-10: 0486603733
  • ISBN-13: 978-0486603735
  • Product Dimensions: 8 x 5.4 x 0.7 inches
  • Shipping Weight: 11.2 ounces (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #513,757 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

11 of 11 people found the following review helpful By V. K. Lin on March 15, 2005
Format: Paperback
Wow, this was a great text. As an introduction, I am a health care professional whose math in college really only consisted of multi-variable calculus, differential equations, linear algebra, and statistics. I'm studying tensors to follow Relativity mathematically (and it might just be useful for some research projects I'm involved with). To that end, I'm looking for clear, easy books teaching me tensor analysis.

This book is a nice one. Although written in the 1930s, it is surprisingly clear. Concise. McConnell conveys things in simple, direct terms that make concepts so obvious what others can't ever get around to saying.

Much of it may be that unlike many books on tensors, McConnell doesn't jump into affine transformations or elasticity applications-- he starts with tensors in rectilinear coordinates, the plane, the straight line. Concepts that for me were so well-understood/ingrained they were intuitive. Then, how tensors made complex calculations in these settings simple. How powerful tensors are!

He transitioned to cones and quadrics. Then curves, surfaces, rigid bodies. Finally applications. Electricity and Magnetism, stress analysis, some fluid dynamics. Lastly, Special Relativity. It effectively builds you to this point.

Drawbacks? It was so succinct, that in a few places I didn't completely understand (more likely a lack of background for fluid dynamics, for example), it was hard to figure out why/where the deficit was coming from. Few answers to problems despite claiming otherwise. And no real look at tensors in gravitation theory beyond Special Relativity.

For such a short book, very helpful.
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12 of 13 people found the following review helpful By "cornelj" on September 14, 2000
Format: Paperback
For engineers and scientists who must model and analyze complex physical systems, here in one volume is a timeless (written in 1931), fresh, authoritative, clear, and well organized treatment of tensor analysis. McConnell gives a terse (318 page) treatment of the very useful but abstract discipline of tensor analysis. This treatment presents first principles and consists of applications to geometry ( both algebraic and differential). What makes this text special is the wide range of applications to subjects in physics and engineering: dynamics of particles, dynamics of rigid bodies (my current interest), electricity and magnetism, mechanics of continuous media, and the special theory of relativity. This book was required reading for the graduate courses that I took in fluid mechanics. I recommend it very highly!
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