Mathematical Techniques for Engineers and Scientists (SPIE Press Monograph Vol. PM118)

As technology continues to move ahead, modern engineers and scientists are frequently faced with difficult mathematical problems that require an ever greater understanding of advanced concepts. Designed as a self-study text for practicing engineers and scientists, as well as a useful reference, the book takes the reader from ordinary differential equations to more sophisticated mathematics--Fourier analysis, vector and tensor analysis, complex variables, partial differential equations, and random processes. The emphasis is on the use of mathematical tools and techniques. The general exposition and choice of topics appeals to a wide audience of applied practitioners.

Contents

- Preface

- Symbols and Notation

- Differential Equations

- Special Functions

- Matrix Methods and Linear Vector Spaces

- Vector Analysis

- Tensor Analysis

- Complex Variables

- Complex Integration, Laurent Series, and Residues

- Fourier Series, Eigenvalue Problems, and Green s Function

- Fourier and Related Transforms

- Laplace, Hankel, and Mellin Transforms

- Calculus of Variations

- Partial Differential Equations

- Probability and Random Variables

- Random Processes

- Applications

- References