# Book:Kurt Arbenz/Advanced Mathematics for Practicing Engineers

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## Kurt Arbenz and Alfred Wohlhauser:

## Kurt Arbenz and Alfred Wohlhauser: *Advanced Mathematics for Practicing Engineers*

Published $1986$, **Artech House**

- ISBN 0-89006-189-0.

### Contents

- Preface (Lausanne, April 1986)

- Part I: Numerical Methods
- Chapter 1: The Least-Squares Method
- Chapter 2: Solution of Equations by Iterative Methods
- Chapter 3: Difference Equations
- Chapter 4: Eigenvalues and Eigenvectors
- Chapter 5: Polynomial Interpolation
- Chapter 6: Solution of Differential Equations by Graphical and Numerical Methods

- Part II: Vector Analysis
- Chapter 7: Vector Differentiation and Differential Operators
- Chapter 8: Space Curves and Line Integrals
- Chapter 9: Surfaces and Surface Integrals
- Chapter 10: Divergence Theorem, Gradient Theorem, and Green's Theorem
- Chapter 11: Stokes' Theorem and Applications
- Chapter 12: Orthogonal Curvilinear Coordinates

- Part III: Analytical Methods for Solving Differential Equations
- Chapter 13: Fourier Series and Applications
- Chapter 14: Fourier Transform and Applications
- Chapter 15: Laplace Transform and Applications
- Chapter 16: Introduction to the Calculus of Variations

- Part IV: Complex Variables
- Chapter 17: Elementary Function of a Complex Variable
- Chapter 18: Analytic Functions
- Chapter 19: Complex Integrals
- Chapter 20: Cauchy's Integral Formula and Applications
- Chapter 21: Integration by the Method of Residues

- Bibliography

- Index