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
Features:
• 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
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