Vector Calculus

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Macmillan, Aug 1, 2003 - Mathematics - 676 pages
6 Reviews
Now in its fifth edition, Vector Calculus helps students gain an intuitive and solid understanding of this important subject. The book's careful account is a contemporary balance between theory, application, and historical development, providing it's readers with an insight into how mathematics progresses and is in turn influenced by the natural world.
 

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The historical sections are fascinating and give a deeper insight into the nature of mathematics. I highly recommend it for anyone wanting a little background on the abstract nature of upper level math.

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Beautiful, well-written, clear and not cluttered. Best textbook I have ever used.

Contents

The Geometry of Euclidean Space
1
Differentiation
94
HigherOrder Derivatives Maxima and Minima
181
Double and Triple Integrals
317
The Change of Variables Formula
368
Integrals Over Paths and Surfaces
421
The Integral Theorems of Vector Analysis
518
Answers to OddNumbered Exercises
609
Index
668
Illustration Credits
676
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About the author (2003)

JERROLD E. MARSDEN teaches at the California Institute of Technology, Pasadena

ANTHONY J. TROMBA teaches at the University of California, Santa Cruz

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