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Numerical Analysis by J. Douglas Faires, Richard L. Burden and Annette M. Burden

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Specificaties

Objectstaat
Heel goed: Een boek dat er niet als nieuw uitziet en is gelezen, maar zich in uitstekende staat ...
ISBN
9781305253667
Publication Name
Numerical Analysis
Item Length
10.2in
Publisher
Cengage Learning
Publication Year
2015
Type
Textbook
Format
Hardcover
Language
English
Item Height
1.5in
Author
J. Douglas Faires, Annette M. Burden, Richard L. Burden
Features
Revised
Item Width
8.2in
Item Weight
60.9 Oz
Number of Pages
912 Pages

Over dit product

Product Information

This well-respected book introduces readers to the theory and application of modern numerical approximation techniques. 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 readers' intuition, and demonstrate the subject's practical applications to important everyday problems in math, computing, engineering, and physical science disciplines. Three decades after it was first published, Burden, Faires, and Burden's NUMERICAL ANALYSIS remains the definitive introduction to a vital and practical subject.

Product Identifiers

Publisher
Cengage Learning
ISBN-10
1305253663
ISBN-13
9781305253667
eBay Product ID (ePID)
204245412

Product Key Features

Author
J. Douglas Faires, Annette M. Burden, Richard L. Burden
Publication Name
Numerical Analysis
Format
Hardcover
Language
English
Features
Revised
Publication Year
2015
Type
Textbook
Number of Pages
912 Pages

Dimensions

Item Length
10.2in
Item Height
1.5in
Item Width
8.2in
Item Weight
60.9 Oz

Additional Product Features

Lc Classification Number
Qa297.B84 2015
Edition Description
Revised Edition
Edition Number
10
Table of Content
1. MATHEMATICAL PRELIMINARIES AND ERROR ANALYSIS.Review of Calculus. Round-off Errors and Computer Arithmetic. Algorithms and Convergence. Numerical Software and Chapter Summary.2. SOLUTIONS OF EQUATIONS IN ONE VARIABLE.The Bisection Method. Fixed-Point Iteration. Newton's Method and Its Extensions. Error Analysis for Iterative Methods. Accelerating Convergence. Zeros of Polynomials and Mller's Method. Numerical Software and Chapter Summary.3. INTERPOLATION AND POLYNOMIAL APPROXIMATION.Interpolation and the Lagrange Polynomial. Data Approximation and Neville's Method. Divided Differences. Hermite Interpolation. Cubic Spline Interpolation. Parametric Curves. Numerical Software and Chapter Summary.4. NUMERICAL DIFFERENTIATION AND INTEGRATION.Numerical Differentiation. Richardson's Extrapolation. Elements of Numerical Integration. Composite Numerical Integration. Romberg Integration. Adaptive Quadrature Methods. Gaussian Quadrature. Multiple Integrals. Improper Integrals. Numerical Software and Chapter Summary.5. INITIAL-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS.The Elementary Theory of Initial-Value Problems. Euler's Method. Higher-Order Taylor Methods. Runge-Kutta Methods. Error Control and the Runge-Kutta-Fehlberg Method. Multistep Methods. Variable Step-Size Multistep Methods. Extrapolation Methods. Higher-Order Equations and Systems of Differential Equations. Stability. Stiff Differential Equations. Numerical Software and Chapter Summary.6. DIRECT METHODS FOR SOLVING LINEAR SYSTEMS.Linear Systems of Equations. Pivoting Strategies. Linear Algebra and Matrix Inversion. The Determinant of a Matrix. Matrix Factorization. Special Types of Matrices. Numerical Software and Chapter Summary.7. ITERATIVE TECHNIQUES IN MATRIX ALGEBRA.Norms of Vectors and Matrices. Eigenvalues and Eigenvectors. The Jacobi and Gauss-Siedel Iterative Techniques. Relaxation Techniques for Solving Linear Systems. Error Bounds and Iterative Refinement. The Conjugate Gradient Method. Numerical Software and Chapter Summary.8. APPROXIMATION THEORY.Discrete Least Squares Approximation. Orthogonal Polynomials and Least Squares Approximation. Chebyshev Polynomials and Economization of Power Series. Rational Function Approximation. Trigonometric Polynomial Approximation. Fast Fourier Transforms. Numerical Software and Chapter Summary.9. APPROXIMATING EIGENVALUES.Linear Algebra and Eigenvalues. Orthogonal Matrices and Similarity Transformations. The Power Method. Householder's Method. The QR Algorithm. Singular Value Decomposition. Numerical Software and Chapter Summary.10. NUMERICAL SOLUTIONS OF NONLINEAR SYSTEMS OF EQUATIONS.Fixed Points for Functions of Several Variables. Newton's Method. Quasi-Newton Methods. Steepest Descent Techniques. Homotopy and Continuation Methods. Numerical Software and Chapter Summary.11. BOUNDARY-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS.The Linear Shooting Method. The Shooting Method for Nonlinear Problems. Finite-Difference Methods for Linear Problems. Finite-Difference Methods for Nonlinear Problems. The Rayleigh-Ritz Method. Numerical Software and Chapter Summary.12. NUMERICAL SOLUTIONS TO PARTIAL DIFFERENTIAL EQUATIONS.Elliptic Partial Differential Equations. Parabolic Partial Differential Equations. Hyperbolic Partial Differential Equations. An Introduction to the Finite-Element Method. Numerical Software and Chapter Summary.Bibliography.Answers to Selected Exercises.
Copyright Date
2016
Topic
Numerical Analysis, Mathematical Analysis
Lccn
2014-949816
Dewey Decimal
518
Intended Audience
College Audience
Dewey Edition
23
Illustrated
Yes
Genre
Mathematics

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