Differential and Integral Calculus

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John Wiley & Sons, Aug 15, 2011 - Mathematics - 694 pages
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Volume 2 of the classic advanced calculus text

Richard Courant's Differential and Integral Calculus is considered an essential text for those working toward a career in physics or other applied math. Volume 2 covers the more advanced concepts of analytical geometry and vector analysis, including multivariable functions, multiple integrals, integration over regions, and much more, with extensive appendices featuring additional instruction and author annotations. The included supplement contains formula and theorem lists, examples, and answers to in-text problems for quick reference.

 

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Contents

Chapter I PRELIMINARY REMARKS ON ANALYTICAL GEOMETRY AND VECTOR ANALYSIS
1
Chapter II FUNCTIONS OF SEVERAL VARIABLES AND THEIR DERIVATIVES
39
Chapter III DEVELOPMENTS AND APPLICATIONS OF THE DIFFERENTIAL CALCULUS
111
Chapter IV MULTIPLE INTEGRALS
215
Chapter V INTEGRATION OVER REGIONS IN SEVERAL DIMENSIONS
343
Chapter VI DIFFERENTIAL EQUATIONS
412
Chapter VII CALCULUS OF VARIATIONS
491
Chapter VIII FUNCTIONS OF A COMPLEX VARIABLE
522
SUPPLEMENT
569
Index
679
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