Gilat's text is intended for a first course in numerical methods for students in engineering and science, typically taught in the second year of college. The book covers the fundamentals of numerical methods from an applied point of view. They also learn computer programming and use advanced software, specifically MATLAB, as a tool for solving problems. The text prepares students in science and engineering for future courses in their areas of specialization.
New to This Edition
- NEW Chapter: A new chapter (Chapter 7) on Fourier Methods has been added to the book. The chapter covers Fourier series, discrete Fourier series, Discrete Fourier Transform, and an introduction to the Fast Fourier Transform (FFT), which is widely used in engineering for processing digital data.
- Eignvalues and Eignvectors: This topic, which was part of Chapter 4 (Solving a System of Linear Equations) in the first two editions of the book, is now covered in a separate chapter, further strengthening the coverage of this key topic.
- MATLAB: The third edition of the book is updated to MATLAB R2012b. All the programs use anonymous functions, and function handles are used for passing functions into functions. Appendix A has been updated to the current version of MATLAB.
- Homework Problems: Increased number of end-of-chapter problems to approximately 40 per chapter. About 50% of end-of-chapter problems have been revised.
Contents
- Chapter 1 Introduction
- Chapter 2 Mathematical Background
- Chapter 3 Solving Nonlinear Equations
- Chapter 4 Solving a System of Linear Equations
- Chapter 5 Eigenvalues and Eigenvectors
- Chapter 6 Curve Fitting and Interpolation
- Chapter 7 Fourier Methods
- Chapter 8 Numerical Differentiation
- Chapter 9 Numerical Integration
- Chapter 10 Ordinary Differential Equations: Initial-Value Problems
- Chapter 11 Ordinary Differential Equations: Boundary-Value Problems
- Appendix A Introductory MATLAB
- Appendix B MATLAB Programs
- Appendix C Derivation of the Real Discrete Fourier Transform
- Index
About the Author
- Amos Gilat, Ph.D., is Professor of Mechanical Engineering at The Ohio State University. Dr. Gillat’s main research interests are in plasticity, specifically, in developing experimental techniques for testing materials over a wide range of strain rates and temperatures and in investigating constitutive relations for viscoplasticity. Dr. Gilat’s research has been supported by the National Science Foundation, NASA, Federal Aviation Administration, Department of Defense, and various industries.
Book Details
- Hardcover: 576 pages
- Publisher: Wiley; 3 edition (October 14, 2013)
- Language: English
- ISBN-10: 1118554930
- ISBN-13: 978-1118554937
- Product Dimensions: 10.2 x 8.3 x 0.9 inches
- List price: $179.95