Numerical Analysis and Scientific Computation ** Jeffery J. Leader **

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“Book is used but in very good condition. Slight wear on the corners of the book cover.”
Type
Textbook
Field of Study
Mathematics
ISBN
9780201734997
EAN
9780201734997
類別

關於產品

Product Identifiers

Publisher
Addison Wesley
ISBN-10
0201734990
ISBN-13
9780201734997
eBay Product ID (ePID)
30204295

Product Key Features

Number of Pages
608 Pages
Publication Name
Numerical Analysis and Scientific Computation
Language
English
Publication Year
2004
Subject
Numerical Analysis, Computer Science
Type
Textbook
Subject Area
Mathematics, Computers
Author
Jeffery J. Leader
Format
Trade Paperback

Dimensions

Item Height
3.9 in
Item Weight
3.5 Oz
Item Length
3.9 in
Item Width
3.9 in

Additional Product Features

Intended Audience
College Audience
LCCN
2003-070661
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
518
Table Of Content
1. Nonlinear Equations. Biscetion and Inverse Linear Interpolation.Newton's Method.The Fixed Point Theorem.Quadratic Convergence of Newton's Method.Variants of Newton's Method.Brent's Method.Effects of Finite Precision Arithmetic.Newton's Method for Systems.Broyden's Method. 2. Linear Systems. Gaussian Elimination with Partial Pivoting.The LU Decomposition.The LU Decomposition with Pivoting.The Cholesky Decomposition.Condition Numbers.The QR Decomposition.Householder Triangularization and the QR Decomposition.Gram-Schmidt Orthogonalization and the QR Decomposition.The Singular Value Decomposition. 3. Iterative Methods. Jacobi and Gauss-Seidel Iteration.Sparsity.Iterative Refinement.Preconditioning.Krylov Space Methods.Numerical Eigenproblems. 4. Polynomial Interpolation. Lagrange Interpolating Polynomials.Piecewise Linear Interpolation.Cubic Splines.Computation of the Cubic Spline Coefficients. 5. Numerical Integration. Closed Newton-Cotes Formulas.Open Newton-Cotes Formulas and Undetermined Coeffients.Gaussian Quadrature.Gauss-Chebyshev Quadrature.Radau and Lobatto Quadrature.Adaptivity and Automatic Integration.Romberg Integration. 6. Differential Equations. Numerical Differentiation.Euler's Method.Improved Euler's Method.Analysis of Explicit One-Step Methods.Taylor and Runge-Kutta Methods.Adaptivity and Stiffness.Multi-Step Methods. 7. Nonlinear Optimization. One-Dimensional Searches.The Method of Steepest Descent.Newton Methods for Nonlinear Optimization.Multiple Random Start Methods.Direct Search Methods.The Nelder-Mead Method.Conjugate Direction Methods. 8. Approximation Methods. Linear and Nonlinear Least Squares.The Best Approximation Problem.Best Uniform Approximation.Applications of the Chebyshev Polynomials. Afterword. Bibliography. Answers. Index.
Synopsis
This text emphasizes the mathematical ideas behind the methods and the idea of mixing methods for robustness. The optional use of MATLAB is incorporated throughout the book. This text is intended for a first course in Numerical Analysis taken by students majoring in mathematics, engineering, computer science, or the sciences. Nonlinear Equations, Linear Systems, Iterative Methods, Polynomial Interpolation, Numerical Integration, Differential Equations, Nonlinear Optimization, Approximation Methods For all readers interested in numerical analysis and scientific computation., This text is intended for a first course in Numerical Analysis taken by students majoring in mathematics, engineering, computer science, and the sciences. This text emphasizes the mathematical ideas behind the methods and the idea of mixing methods for robustness. The optional use of MATLAB is incorporated throughout the text.
LC Classification Number
QA297.L384 2004

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