Numerical Methods, 4/e (IE-Paperback)

Douglas Faires , Richard L. Burden

Numerical Methods, 4/e (IE-Paperback)
  • 出版商: Cengage Learning
  • 出版日期: 2013-01-01
  • 定價: $1,380
  • 售價: 9.5 折 $1,311
  • 語言: 英文
  • 頁數: 608
  • ISBN: 0495385697
  • ISBN-13: 9780495385691

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商品描述

Description
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. Students 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 student that the method is reasonable both mathematically and computationally.

  • Features/Benefits
    • This text is designed for use in a one-semester course, but contains more material than needed. Instructors have flexibility in choosing topics and students gain a useful reference for future work
    • Worked examples using computer algebra systems help students understand why the software usually works, why it might fail, and what to do when a software program fails.
    • The exercise sets include problems reflecting a wide range of difficulty as well as problems that offer good illustrations of the methods being discussed, while requiring little calculation.
    • The book contains instructions for a wide range of popular computer algebra systems.
    New to this Edition
    • New examples and exercises appear throughout the text, offering fresh options for assignments.
    • Chapter 7, "Iterative Methods for Solving Linear Systems," includes a new section on Conjugate Gradient Methods.
    • Chapter 10, "Solutions of Systems of Nonlinear Equations," includes a new section on Homotopy and Continuation Methods.
    • Revised techniques for algorithms and programs are included in six languages: FORTRAN, Pascal, C, MAPLE, Mathematica, and MATLAB.
    • All of the Maple material in the text is updated to conform with the newest release (Maple 7). All of the material on the CD that accompanies the book is updated to conform to the latest available versions of Maple, Mathematica, and MATLAB.
    • This edition includes many more examples of Maple code.

目錄大綱

Table of 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. SYSTEMS OF NONLINEAR EQUATIONS.
11. BOUNDARY-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS.
12. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS.

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