Book:Kurt Arbenz/Advanced Mathematics for Practicing Engineers

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