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Numerical Mathematics and Computing

Author(s): E. Ward Cheney | David R. Kincaid,

ISBN: 9788131519523

7th Edition

Copyright: 2013

India Release: 2013

₹950

Binding: Paperback

Pages: 710

Trim Size: 254 x 203 mm

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Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. NUMERICAL MATHEMATICS AND COMPUTING, 7E, also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors

  • Computer codes and materials accessible on the text website for easier use.
  • Increased use of figures and numerical examples for enhanced visual learning.
  • Updated sections and material on various topics for comprehensive coverage.
  • Additional exercises with practical applications throughout the text.
  • References reflect the latest developments in the field.
  • Reorganized and revamped appendices for supplemental material.
  • Updates include moving the Solving Systems of Linear Equations chapter earlier in the text.
  • Addition of exercises, computer exercises, and application exercises.
  • New section on Fourier Series and Fast Fourier Transforms.
  • Streamlined introductory chapter and combination of previous chapters on Mathematical Preliminaries and Taylor Series.
  • Removal of certain sections and materials from the text, placed on the website.
  • Combination of previous chapters on Ordinary Differential Equations.
  • Pseudocodes available in MATLAB, Mathematica, and Maple for easy access

1. Introduction

2. Floating-point representation and errors

3. Locating roots of equations

4. Interpolation and numerical differentiation

5. Numerical integration

6. Additional topics on numerical integration

7. Systems of linear equations

8. Additional topics concerning systems of linear equations

9. Approximation by spline functions

10. Ordinary differential equations.

11. Systems of ordinary differential equations.

12. Smoothing of data and the method of least squares

13. Monte carlo methods and simulation

14. Boundary-value problems for ordinary differential equations

15. Partial differential equations

16. Minimization of functions

17. Linear programming

Answers for selected problems

Bibliography

Index

E. Ward Cheney

Ward Cheney is Professor of Mathematics at the University of Texas at Austin. His research interests include approximation theory, numerical analysis, and extremum problems.

 

David R. Kincaid

David Kincaid is Senior Lecturer in the Department of Computer Sciences at the University of Texas at Austin. Also, he is the Interim Director of the Center for Numerical Analysis (CNA) within the Institute for Computational Engineering and Sciences (ICES).