CART

(0) items

Numerical Methods,9780534407612
This item qualifies for
FREE SHIPPING!

FREE SHIPPING OVER $59!

Your order must be $59 or more, you must select US Postal Service Shipping as your shipping preference, and the "Group my items into as few shipments as possible" option when you place your order.

Bulk sales, PO's, Marketplace Items, eBooks, Apparel, and DVDs not included.

Numerical Methods

by ;
Edition:
3rd
ISBN13:

9780534407612

ISBN10:
0534407617
Format:
Hardcover
Pub. Date:
6/18/2002
Publisher(s):
Cengage Learning
Includes 2-weeks free access to
step-by-step solutions for this book.
Step-by-Step solutions are actual worked out problems to the questions at the end of each chapter that help you understand your homework and study for your exams. Chegg and eCampus are providing you two weeks absolutely free. 81% of students said using Step-by-Step solutions prepared them for their exams.
List Price: $371.99
More New and Used
from Private Sellers
Starting at $19.90
See Prices

Rent Textbook

We're Sorry
Sold Out

Used Textbook

We're Sorry
Sold Out

eTextbook

We're Sorry
Not Available

New Textbook

We're Sorry
Sold Out

Related Products


  • Numerical Methods
    Numerical Methods
  • Student Solutions Manual for Faires/Burden's Numerical Methods, 3rd
    Student Solutions Manual for Faires/Burden's Numerical Methods, 3rd
  • Student Solutions Manual for Faires/Burden's Numerical Methods, 4th
    Student Solutions Manual for Faires/Burden's Numerical Methods, 4th




Summary

This book 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 type 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. In this book, full mathematical justifications are provided only if they are concise and add to the understanding of 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.

Table of Contents

Mathematical Preliminaries and Error Analysis
1(32)
Introduction
1(1)
Review of Calculus
1(14)
Round-off Error and Computer Arithmetic
15(7)
Errors in Scientific Computation
22(7)
Computer Software
29(4)
Solutions of Equations of One Variable
33(31)
Introduction
33(1)
The Bisection Method
33(6)
The Secant Method
39(6)
Newton's Method
45(7)
Error Analysis and Accelerating Convergence
52(5)
Muller's Method
57(5)
Survey of Methods and Software
62(2)
Interpolation and Polynomial Approximation
64(47)
Introduction
64(2)
Lagrange Polynomials
66(11)
Divided Differences
77(8)
Hermite Interpolation
85(6)
Spline Interpolation
91(11)
Parametric Curves
102(6)
Survey of Methods and Software
108(3)
Numerical Integration and Differentiation
111(68)
Introduction
111(1)
Basic Quadrature Rules
112(8)
Composite Quadrature Rules
120(9)
Romberg Integration
129(9)
Gaussian Quadrature
138(5)
Adaptive Quadrature
143(7)
Multiple Integrals
150(11)
Improper Integrals
161(6)
Numerical Differentiation
167(10)
Survey of Methods and Software
177(2)
Numerical Solution of Initial-Value Problems
179(62)
Introduction
179(3)
Taylor Methods
182(11)
Runge-Kutta Methods
193(8)
Predictor-Corrector Methods
201(8)
Extrapolation Methods
209(5)
Adaptive Techniques
214(9)
Methods for Systems of Equations
223(11)
Stiff Differential Equations
234(5)
Survey of Methods and Software
239(2)
Direct Methods for Solving Linear Systems
241(49)
Introduction
241(1)
Gaussian Elimination
241(11)
Pivoting Strategies
252(8)
Linear Algebra and Matrix Inversion
260(12)
Matrix Factorization
272(6)
Techniques for Special Matrices
278(9)
Survey of Methods and Software
287(3)
Iterative Methods for Solving Linear Systems
290(50)
Introduction
290(1)
Convergence of Vectors
291(8)
Eigenvalues and Eigenvectors
299(7)
The Jacobi and Gauss-Seidel Methods
306(6)
The SOR Method
312(6)
Error Bounds and Iterative Refinement
318(7)
The Conjugate Gradient Method
325(13)
Survey of Methods and Software
338(2)
Approximation Theory
340(42)
Introduction
340(1)
Discrete Least Squares Approximation
340(9)
Continuous Least Squares Approximation
349(8)
Chebyshev Polynomials
357(6)
Rational Function Approximation
363(6)
Trigonometric Polynomial Approximation
369(6)
Fast Fourier Transforms
375(5)
Survey of Methods and Software
380(2)
Approximating Eigenvalues
382(34)
Introduction
382(1)
Isolating Eigenvalues
382(6)
The Power Method
388(13)
Householder's Method
401(5)
The QR Method
406(8)
Survey of Methods and Software
414(2)
Solutions of Systems of Nonlinear Equations
416(34)
Introduction
416(3)
Newton's Method for Systems
419(9)
Quasi-Newton Methods
428(7)
The Steepest Descent Method
435(5)
Homotopy and Continuation Methods
440(8)
Survey of Methods and Software
448(2)
Boundary-Value Problems for Ordinary Differential Equations
450(41)
Introduction
450(1)
The Linear Shooting Method
451(5)
Linear Finite-Difference Methods
456(7)
The Nonlinear Shooting Method
463(6)
Nonlinear Finite-Difference Methods
469(5)
Variational Techniques
474(14)
Survey of Methods and Software
488(3)
Numerical Methods for Partial-Differential Equations
491(48)
Introduction
491(2)
Finite-Difference Methods for Elliptic Problems
493(8)
Finite-Difference Methods for Parabolic Problems
501(13)
Finite-Difference Methods for Hyperbolic Problems
514(8)
Introduction to the Finite-Element Method
522(15)
Survey of Methods and Software
537(2)
Bibliography 539(6)
Answers for Numerical Methods 545(72)
Index 617


Please wait while the item is added to your cart...