Numerical Computing with MATLAB is a lively textbook for an introductory course in numerical methods, MATLAB, and technical computing. The emphasis is on the informed use of mathematical software, in particular, the presentation helps readers learn enough about the mathematical functions in MATLAB to use them correctly, appreciate their limitations, and modify them appropriately. The book makes extensive use of computer graphics, including interactive graphical expositions of numerical algorithms. It provides more than 70 M-files, which can be downloaded from the text website www.mathworks.com/moler. Many of the more than 200 exercises involve modifying and extending these programs.
Motivating applications included in the book are modern problems from cryptography, touch-tone dialing, Google page ranking, atmospheric science, and image processing, as well as classical problems from physics and engineering.
The book is useful for students of science and all disciplines of engineering, both at the undergraduate and postgraduate levels.
Table of Contents
Preface
Chapter 1: Introduction to MATLAB
Chapter 2: Linear Equations
Chapter 3: Interpolation
Chapter 4: Zeros and Roots
Chapter 5: Least Squares
Chapter 6: Quadrature
Chapter 7: Ordinary Differential Equations
Chapter 8: Fourier Analysis
Chapter 9: Random Numbers
Chapter 10: Eigenvalues and Singular Values
Chapter 11: Partial Differential Equations
Bibliography
Index
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