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Numerical Methods 4th Edition Faires, Burden

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    Item specifics

    Condition
    Good: A book that has been read but is in good condition. Very minimal damage to the cover including ...
    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
    Author
    J. Douglas Faires, Richard L. Burden
    Features
    Revised
    Item Weight
    43.3 Oz
    Item Width
    8.1 in
    Number of Pages
    608 Pages

    About this product

    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
    Subject
    Numerical Analysis, Mathematical Analysis
    Publication Year
    2012
    Features
    Revised
    Type
    Textbook
    Author
    J. Douglas Faires, Richard L. Burden
    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
    Intended Audience
    College Audience
    Dewey Edition
    22
    Dewey Decimal
    518
    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.
    Edition Description
    Revised edition
    Synopsis
    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.

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