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ABOUT THE BOOK

This textbook provides and introduction to numerical computing and its applications in science and engineering.  The topics covered include those usually found in an introductory course, as well as those that arise in data analysis.  This includes optimization and regression based methods using a singular value decomposition.  The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science.  The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used.  The MATLAB codes used to produce most of the figures and data tables in the text are available on the author’s website and SpringerLink.

TABLE OF CONTENTS

1. Introduction to Scientific Computing

   • Mark H. Holmes

   Pages 1-29

2. Solving A Nonlinear Equation

   • Mark H. Holmes

   Pages 31-70

3. Matrix Equations

   • Mark H. Holmes

   Pages 71-120

4. Eigenvalue Problems

   • Mark H. Holmes

   Pages 121-181

5. Interpolation

   • Mark H. Holmes

   Pages 183-229

6. Numerical Integration

   • Mark H. Holmes

   Pages 231-274

7. Initial Value Problems

   • Mark H. Holmes

   Pages 275-325

8. Optimization

   • Mark H. Holmes

   Pages 327-396

9. Data Analysis

   • Mark H. Holmes

   Pages 397-451