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Advanced Mathematics for Engineers and Scientists
by Paul DuChateau
This book can be used as either a primary text or a supplemental reference for courses in applied mathematics. Its core chapters are devoted to linear algebra, calculus, and ordinary differential equations. Additional topics include partial differential equations and approximation methods.
Each chapter features an ample selection of solved problems. These problems were chosen to illustrate not only how to solve various algebraic and differential equations but also how to interpret the solutions in order to gain insight into the behavior of the system modeled by the equation. In addition to the worked-out problems, numerous examples and exercises appear throughout the text.
Table of Contents for Advanced Mathematics for Engineers and Scientists
| Preface | | 1. Systems of Linear Algebraic Equations | | 2. Algebraic Eigenvalue Problems | | 3. Multivariable Calculus | | 4. Ordinary Differential Equations: Linear Initial Value Problems | | 5. Nonlinear Ordinary Differential Equations | | 6. Linear Boundary Value Problems | | 7. Fourier Series and Eigenfunction expansions | | 8. Integral Transforms | | 9. Linear Problems in Partial Differential Equations | | 10. Linear and Nonlinear Partial Differential Equations | | 11. Functional Optimizationand Variational Methods | | 12. Finite Difference Methods for Differential Equations | | 13. Introduction to the Finite Element Method | | Index |
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