Differential and Integral Calculus, Volume 2 (Google eBook)

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John Wiley & Sons, Aug 15, 2011 - Mathematics - 694 pages
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Differential and Integral Calculus, Volume 2:

“Unlike modern mathematicians who pursue their research apart from engineering or physical applications, Richard Courant was adverse to abstract theories and vague theorems. The topics covered in this set will provide the reader with a solid background to understanding the mathematics of heat conduction, electricity and magnetism, fluid dynamics and elasticity.” –Amazon Review 


This book includes not only calculational techniques, but also an introduction to real analysis, good mathematical reasoning, and proof techniques. Courant leads the way straight to useful knowledge, and aims at making the subject easier to grasp, not only by giving proofs step by step, but also by throwing light on the interconnexions and purposes of the whole.

  

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User Review  - nealjking - LibraryThing

This is a classic book on the calculus: It covers the foundations of real analysis as well as the practical calculational techniques. This is calculus for people that enjoy mathematics. Read full review

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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