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Applications of Tensor Analysis (Dover Books on Mathematics) Paperback – October 20, 2011
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Top Customer Reviews
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.