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Title: Vector Analysis and Cartesian Tensors by D. Bourne, P. C. Kendall ISBN: 0-7487-5460-1 Publisher: CRC Press Pub. Date: 01 June, 1992 Format: Paperback Volumes: 1 List Price(USD): $49.95

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Average Customer Rating: 4 (1 review)

Rating: 4
Summary: Component Analysis Approach, Good Book
Comment: I recommend Bourne and Kendall's text for anyone that is somewhat familiar with vector concepts and wants to delve a bit more deeply in vector analysis. The authors use a component analysis approach and even introduce tensor notation early. Emphasis is placed on transforms between cartesian, cylindrical, and spherical coordinates. Occasional reference is made to technical applications, but this book focuses on the mathematics, not the technical applications. However, a short chapter looks at potential field applications. My review is based on an early edition; more recent versions contain a chapter on Cartesian tensors.

I liked the way in which the authors introduced related topics like Jacobian transformations, scalar invariant operators, and differential geometry topics. Although the earliest edition is now a few decades old, the notation (del operator, coordinate suffixes, etc.) is current.

For an introductory text that is particularly suitable as a self-tutorial I highly recommend H. M. Schey's Div, Grad, Curl and All That, 3rd edition, available in paperback.