Advanced Engineering Mathematics with Mathematica
by Edward B. Magrab
1st Edition
Publisher: CRC Press
Book Details
| Print ISBN | 9780367893255 |
| eText ISBN | 9781000034523 |
| Publisher | CRC Press |
| Publishing Year | 2020 |
| Edition | 1st Edition |
| Language | English |
Advanced Engineering Mathematics with Mathematica, 1st Edition, presents advanced analytical solution methods for boundary-value problems in engineering. The textbook integrates these analytical techniques directly with Mathematica procedures to aid problem solving.
The text emphasizes the Sturm–Liouville system and the generation and application of orthogonal functions. These mathematical foundations support the separation of variables method used to solve partial differential equations.
Additional topics include complex variables, matrices, determinants, Fourier series, Fourier transforms, and Laplace transforms. The volume also introduces techniques to non-dimensionalize ordinary and partial differential equations, illustrating practical applications through numerous solved boundary-value problems.
Table of Contents
Chapter 1: Matrices, Determinants, and Systems of Equations
Chapter 2: Introduction to Complex Variables
Chapter 3: Fourier Series and Fourier Transforms
Chapter 4: Ordinary Differential Equations Part I: Review of First- and Second-Order Equations
Chapter 5: Ordinary Differential Equations Part II: Power Series Solutions
Chapter 6: Ordinary Differential Equations Part III: Sturm–Liouville Equation
Chapter 7: Partial Differential Equations
Chapter 8: Laplace Transforms
Chapter 9: Putting It All Together—Examples from the Literature
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