(eBook PDF) Numerical Methods, 4th Edition by J. Douglas Faires

(eBook PDF) Numerical Methods, 4th Edition by J. Douglas Faires – Digital Ebook – Instant Delivery Download

Product details:

• ISBN-10 ‏ : ‎ 0495385697
• ISBN-13 ‏ : ‎ 978-0495385691
• Author: Richard Burden, J. Faires

NUMERICAL METHODS, 4E, International Edition emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. Readers learn why the numerical methods work, what kinds of errors to expect, and when an application might lead to difficulties. The authors also provide information about the availability of high-quality software for numerical approximation routines. The techniques are the same as those covered in the authors’ top-selling Numerical Analysis text, but this text provides an overview for students who need to know the methods without having to perform the analysis. This concise approach still includes mathematical justifications, but only when they are necessary to understand the methods. The emphasis is placed on describing each technique from an implementation standpoint, and on convincing the reader that the method is reasonable both mathematically and computationally.

Table contents:

1. MATHEMATICAL PRELIMINARIES AND ERROR ANALYSIS.

2. SOLUTIONS OF EQUATIONS OF ONE VARIABLE.

3. INTERPOLATION AND POLYNOMIAL APPROXIMATION.

4. NUMERICAL INTEGRATION AND DIFFERENTIATION.

5. NUMERICAL SOLUTION OF INITIAL-VALUE PROBLEMS.

6. DIRECT METHODS FOR SOLVING LINEAR SYSTEMS.

7. ITERATIVE METHODS FOR SOLVING LINEAR SYSTEMS.

8. APPROXIMATION THEORY.

9. APPROXIMATING EIGENVALUES.

10. SOLUTIONS OF SYSTEMS OF NONLINEAR EQUATIONS.

11. BOUNDARY-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS.

12. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS.

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