Numerical Analysis, 10/e (AE-Paperback)
Richard L. Burden , Douglas Faires , Annette M. Burden
- 出版商: Cengage Learning
- 出版日期: 2016-01-01
- 售價: $1,450
- 貴賓價: 9.5 折 $1,378
- 語言: 英文
- 頁數: 916
- ISBN: 9814834289
- ISBN-13: 9789814834285
數值分析, 10/e (精華版) (Burden: Numerical Analysis, 10/e) (繁中版)
Numerical Analysis, 10/e
This well-respected text introduces the theory and application of modern numerical approximation techniques to students taking a one- or two-semester course in numerical analysis. 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 students' intuition, and demonstrate the subject's practical applications to important everyday problems in math, computing, engineering, and physical science disciplines. The first book of its kind when crafted more than 30 years ago to serve a diverse undergraduate audience, Burden, Faires, and Burden's NUMERICAL ANALYSIS remains the definitive introduction to a vital and practical subject.
*The design of the text gives instructors flexibility in choosing topics they wish to cover, selecting the level of theoretical rigor desired, and deciding which applications are most appropriate or interesting for their classes.
*The algorithms in the text are designed to work with a wide variety of software packages and programming languages, allowing maximum flexibility for users to harness computing power to perform approximations. The book's companion website offers Maple, Mathematica, and MATLAB worksheets, as well as C, FORTRAN, Java, and Pascal programs.
*The exercise sets include many applied problems from diverse areas of engineering, as well as from the physical, computer, biological, and social sciences.
Virtually every concept in the text is illustrated by examples. In addition, concepts and examples are reinforced by more than 2500 class-tested exercises ranging from elementary applications of methods and algorithms to generalizations and extensions of the theory.
Table of Contents
1. MATHEMATICAL PRELIMINARIES AND ERROR ANALYSIS.
2. SOLUTIONS OF EQUATIONS IN ONE VARIABLE.
3. INTERPOLATION AND POLYNOMIAL APPROXIMATION.
4. NUMERICAL DIFFERENTIATION AND INTEGRATION.
5. INITIAL-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS.
6. DIRECT METHODS FOR SOLVING LINEAR SYSTEMS.
7. ITERATIVE TECHNIQUES IN MATRIX ALGEBRA.
8. APPROXIMATION THEORY.
9. APPROXIMATING EIGENVALUES.
10. NUMERICAL SOLUTIONS OF NONLINEAR SYSTEMS OF EQUATIONS.
11. BOUNDARY-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS.
12. NUMERICAL SOLUTIONS TO PARTIAL DIFFERENTIAL EQUATIONS.