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Real Functions in Several Variables, Examples of Maximum and Minimum Integration and Vector Analysis

Real Functions in Several Variables, Examples of Maximum and Minimum Integration and Vector Analysis

This is a free, online textbook offered by Bookboon.com.  Topics include:

1. Preface

2. The range of a function in several variables 2.1 Maximum and minimum 2.2 Extremum

3. The plane integral 3.1 Rectangular coordinates 3.2 Polar coordinates

4. The space integral 4.1 Rectangular coordinates 4.2 Semi-polar coordinates 4.3 Spherical coordinates

5. The line integral

6. The surface integral

7. Transformation theorems

8. Improper integrals

9. Vector analysis 9.1 Tangential line integral; gradient field 9.2 Flux and divergence of a vector field; Gauss’s theorem 9.3 Rotation of a vector field; Stokes’s theorem 9.4 Potentials

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