A FIRST COURSE IN NUMERICAL METHODS------PHI
Description:
A First Course in Numerical Methods is
aimed at undergraduate and postgraduate students of all engineering
disciplines and the students of mathematics and other science
disciplines, to enable them to gain practical knowledge of modern
techniques in scientific computing. Avoiding encyclopedic and heavily
theoretical exposition, the book provides an in-depth treatment of
fundamental issues and methods, the reasons behind the success and
failure of numerical software, and fresh and easy-to-follow approaches
and techniques.
The book
• focuses on current methods, issues, and software while providing a
comprehensive theoretical foundation, enabling those who need to apply
the techniques to successfully design solutions to nonstandard
problems.
• illustrates algorithms using the programming environment of
MATLAB®, with the expectation that the reader will gradually become
proficient in it while learning the material covered in the book.
• provides a variety of exercises within each chapter and review questions aimed at self-testing.
The book takes an algorithmic approach, focusing on techniques that
have a high level of applicability to engineering, computer science,
and applied mathematics.
Contents:
List of Tables
Preface
1. Numerical Algorithms
2. Roundoff Errors
3. Nonlinear Equations in One Variable
4. Linear Algebra Background
5. Linear Systems: Direct Methods
6. Linear Least Squares Problems
7. Linear Systems: Iterative Methods
8. Eigenvalues and Singular Values
9. Nonlinear Systems and Optimization
10. Polynomial Interpolation
11. Piecewise Polynomial Interpolation
12. Best Approximation
13. Fourier Transform
14. Numerical Differentiation
15. Numerical Integration
16. Differential Equations
Bibliography
