Numerical analysis /
Sergiy Butenko and Panos M. Pardalos
- 10th Edition
- Boston, Massachusetts : Cengage Learning Asia Pte Ltd, c2016
- xvi, 896 pages : illustrations ; 27 cm.
Includes bibliographical references and index.
I. Basic -- 1. Preliminaries -- 2. Numbers and errors -- II. Numerical methods for standard problems -- 3. Elements of numerical linear algebra -- 4. Solving equations -- 5. Polynomial interpolation -- 6. Numerical integration -- 7. Numerical solution of differential equations -- III. Introduction to optimization -- 8. Basic concepts -- 9. Complexity issues -- 10. Introduction to linear programming -- 11. The Simplex method for linear programming -- 12. Duality and sensitivity analysis in linear programming -- 13. Unconstrained optimization -- 14. Constrained optimization
This well-respected book introduces readers to the theory and application of modern numerical approximation techniques. Providing an accessible treatment that only requires a calculus prerequisite, the authors explain how, why, and when approximation techniques can be expected to work-and why, in some situations, they fail. A wealth of examples and exercises develop readers' intuition, and demonstrate the subject's practical applications to important everyday problems in math, computing, engineering, and physical science disciplines. Three decades after it was first published, Burden, Faires, and Burden's NUMERICAL ANALYSIS remains the definitive introduction to a vital and practical subject.