Vector and Tensor Analysis, Second Edition

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CRC Press, Dec 22, 1992 - Technology & Engineering - 518 pages
Revised and updated throughout, this book presents the fundamental concepts of vector and tensor analysis with their corresponding physical and geometric applications - emphasizing the development of computational skills and basic procedures, and exploring highly complex and technical topics in simplified settings.;This text: incorporates transformation of rectangular cartesian coordinate systems and the invariance of the gradient, divergence and the curl into the discussion of tensors; combines the test for independence of path and the path independence sections; offers new examples and figures that demonstrate computational methods, as well as carify concepts; introduces subtitles in each section to highlight the appearance of new topics; provides definitions and theorems in boldface type for easy identification. It also contains numerical exercises of varying levels of difficulty and many problems solved.
 

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Contents

VECTOR ALGEBRA
1
DIFFERENTIAL CALCULUS OF VECTOR
75
DIFFERENTIAL CALCULUS OF SCALAR
147
3 Directional Derivative of a Scalar Field
154
INTEGRAL CALCULUS OF SCALAR
207
grals of Vector Fields 4 3 Properties of Line
235
Representation of Surfaces 4 7 Surface Area
288
Stokes Theorem
296
TENSORS IN RECTANGULAR CARTESIAN
307
Cartesian Coordinate Systems 5 4 Transformation
321
TENSORS IN GENERAL COORDINATES
373
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About the author (1992)

Young, Eutiquio C.

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