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Numerical Methods 4th Edition Faires, Burden
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eBay item number:256504014410
Item specifics
- Condition
- ISBN
- 9780495114765
- Subject Area
- Mathematics
- Publication Name
- Numerical Methods
- Publisher
- Brooks/Cole
- Item Length
- 10.1 in
- Subject
- Numerical Analysis, Mathematical Analysis
- Publication Year
- 2012
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.2 in
- Features
- Revised
- Item Weight
- 43.3 Oz
- Item Width
- 8.1 in
- Number of Pages
- 608 Pages
About this product
Product Information
NUMERICAL METHODS, Fourth 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.
Product Identifiers
Publisher
Brooks/Cole
ISBN-10
0495114766
ISBN-13
9780495114765
eBay Product ID (ePID)
111418820
Product Key Features
Number of Pages
608 Pages
Language
English
Publication Name
Numerical Methods
Publication Year
2012
Subject
Numerical Analysis, Mathematical Analysis
Features
Revised
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
1.2 in
Item Weight
43.3 Oz
Item Length
10.1 in
Item Width
8.1 in
Additional Product Features
Edition Number
4
Dewey Edition
22
Target Audience
College Audience
Dewey Decimal
518
Edition Description
Revised Edition
Table of Content
1. MATHEMATICAL PRELIMINARIES AND ERROR ANALYSIS. Introduction. Review of Calculus. Round-off Error and Computer Arithmetic. Errors in Scientific Computation. Computer Software. 2. SOLUTIONS OF EQUATIONS OF ONE VARIABLE. Introduction. The Bisection Method. The Secant Method. Newton's Method. Error Analysis and Accelerating Convergence. Mller's Method. Survey of Methods and Software. 3. INTERPOLATION AND POLYNOMIAL APPROXIMATION. Introduction. Lagrange Polynomials. Divided Differences. Hermite Interpolation. Spline Interpolation. Parametric Curves. Survey of Methods and Software. 4. NUMERICAL INTEGRATION AND DIFFERENTIATION. Introduction. Basic Quadrature Rules. Composite Quadrature Rules. Romberg Integration. Gaussian Quadrature. Adaptive Quadrature. Multiple Integrals. Improper Integrals. Numerical Differentiation. Survey of Methods and Software. 5. NUMERICAL SOLUTION OF INITIAL-VALUE PROBLEMS. Introduction. Taylor Methods. Runge-Kutta Methods. Predictor-Corrector Methods. Extrapolation Methods. Adaptive Techniques. Methods for Systems of Equations. Stiff Differentials Equations. Survey of Methods and Software. 6. DIRECT METHODS FOR SOLVING LINEAR SYSTEMS. Introduction. Gaussian Elimination. Pivoting Strategies. Linear Algebra and Matrix Inversion. Matrix Factorization. Techniques for Special Matrices. Survey of Methods and Software. 7. ITERATIVE METHODS FOR SOLVING LINEAR SYSTEMS. Introduction. Convergence of Vectors. Eigenvalues and Eigenvectors. Conjugate Gradient Methods. The Jacobi and Gauss-Seidel Methods. The SOR Method. Error Bounds and Iterative Refinement. Survey of Methods and Software. 8. APPROXIMATION THEORY. Introduction. Discrete Least Squares Approximation. Continuous Least Squares Approximation. Chebyshev Polynomials. Rational Function Approximation. Trigonometric Polynomial Approximation. Fast Fourier Transforms. Survey of Methods and Software. 9. APPROXIMATING EIGENVALUES. Introduction. Isolating Eigenvalues. The Power Method. Householder's Method. The QR Method. Survey of Methods and Software. 10. SOLUTIONS OF SYSTEMS OF NONLINEAR EQUATIONS. Introduction. Newton's Methods for Systems. Quasi-Newton Methods. The Steepest Descent Method. Survey of Methods and Software. Homotopy and Continuation Methods. 11. BOUNDARY-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS. Introduction. The Linear Shooting Method. Linear Finite Difference Methods. The Nonlinear Shooting Method. Nonlinear Finite-Difference Methods. Variational Techniques. Survey of Methods and Software. 12. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. Introduction. Finite-Difference Methods for Elliptic Problems. Finite-Difference Methods for Parabolic Problems. Finite-Difference Methods for Hyperbolic Problems. Introduction to the Finite-Element Method. Survey of Methods and Software.
Copyright Date
2013
Item description from the seller
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eBay item number:256504014410
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