Description

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The book deals with functions of many variables: differentiation and integration, extrema with a number of digressions to related subjects such as curves, surfaces and Morse theory. The background needed for understanding the examples and how to compute in Mathematica® will also be discussed.

Second volume of the work, focussed on multi-variate calculus.

Intertwines knowledge of analysis and Mathematica.

Students learn how to solve mathematical problems with a computer algebra system.

Contains a vast collection of examples and exercises.

Contents

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Preface
1. Continuity of functions and mappings
2. Differentiation of functions of many variables
3. Higher order derivatives and the Taylor series
4. Elements of topology and Morse theory
5. The Riemann integral of a function of n variables
6. Stokes' theorem
Bibliography
Index Related Topics

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Calculus and Analysis