Numerical Analysis

Name: Numerical Analysis
Price: 5.73 USD
Availability: InStock
ISBN: 9780534382162

ISBN-10: 0534382169

ISBN-13: 9780534382162

Edition: 7th 2001

Authors: Richard L. Burden, J. Douglas Faires

List price: $158.95

30 day, 100% satisfaction guarantee!

Marketplace

2 new & used from $5.73

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

Book details

List price: $158.95
Edition: 7th
Copyright year: 2001
Publisher: Brooks/Cole
Publication date: 12/29/2000
Binding: Hardcover
Pages: 864
Size: 7.48" wide x 9.45" long
Weight: 3.520
Language: English

Richard L. Burden is Emeritus Professor of Mathematics at Youngstown State University. His master's degree in mathematics and doctoral degree in mathematics, with a specialization in numerical analysis, were both awarded by Case Western Reserve University. He also earned a masters degree in computer science from the University of Pittsburgh. His mathematical interests include numerical analysis, numerical linear algebra, and mathematical statistics. Dr. Burden has been named a distinguished professor for teaching and service three times at Youngstown State University. He was also named a distinguished chair as the chair of the Department of Mathematical and Computer Sciences. He wrote the…

J. Douglas Faires, late of Youngstown State University, pursued mathematical interests in analysis, numerical analysis, mathematics history, and problem solving. Dr. Faires won numerous awards, including the Outstanding College-University Teacher of Mathematics by the Ohio Section of MAA and five Distinguished Faculty awards from Youngstown State University, which also awarded him an Honorary Doctor of Science award in 2006.

Mathematical Preliminaries	p. 1
Review of Calculus	p. 2
Roundoff Errors and Computer Arithmetic	p. 18
Algorithms and Convergence	p. 31
Numerical Software	p. 40
Solutions of Equations in One Variable	p. 47
The Bisection Method	p. 48
Fixed-Point Iteration	p. 55
Newton's Method	p. 66
Error Analysis for Iterative Methods	p. 78
Accelerating Convergence	p. 86
Zeros of Polynomials and Muller's Method	p. 91
Survey of Methods and Software	p. 101
Interpolation and Polynomial Approximation	p. 104
Interpolation and the Lagrange Polynomial	p. 107
Divided Differences	p. 122
Hermite Interpolation	p. 133
Cubic Spline Interpolation	p. 141
Parametric Curves	p. 156
Survey of Methods and Software	p. 163
Numerical Differentiation and Integration	p. 166
Numerical Differentiation	p. 167
Richardson's Extrapolation	p. 178
Elements of Numerical Integration	p. 186
Composite Numerical Integration	p. 196
Romberg Integration	p. 207
Adaptive Quadrature Methods	p. 213
Gaussian Quadrature	p. 220
Multiple Integrals	p. 227
Improper Integrals	p. 241
Survey of Methods and Software	p. 247
Initial-Value Problems for Ordinary Differential Equations	p. 249
The Elementary Theory of Initial-Value Problems	p. 251
Euler's Method	p. 256
Higher-Order Taylor Methods	p. 266
Runge-Kutta Methods	p. 272
Error Control and the Runge-Kutta-Fehlberg Method	p. 282
Multistep Methods	p. 289
Variable Step-Size Multistep Methods	p. 301
Extrapolation Methods	p. 307
Higher-Order Equations and Systems of Differential Equations	p. 313
Stability	p. 324
Stiff Differential Equations	p. 334
Survey of Methods and Software	p. 342
Direct Methods for Solving Linear Systems	p. 344
Linear Systems of Equations	p. 345
Pivoting Strategies	p. 359
Linear Algebra and Matrix Inversion	p. 370
The Determinant of a Matrix	p. 383
Matrix Factorization	p. 388
Special Types of Matrices	p. 398
Survey of Methods and Software	p. 413
Iterative Techniques in Matrix Algebra	p. 417
Norms of Vectors and Matrices	p. 418
Eigenvalues and Eigenvectors	p. 430
Iterative Techniques for Solving Linear Systems	p. 437
Error Bounds and Iterative Refinement	p. 454
The Conjugate Gradient Method	p. 465
Survey of Methods and Software	p. 481
Approximation Theory	p. 483
Discrete Least Squares Approximation	p. 484
Orthogonal Polynomials and Least Squares Approximation	p. 498
Chebyshev Polynomials and Economization of Power Series	p. 507
Rational Function Approximation	p. 517
Trigonometric Polynomial Approximation	p. 529
Fast Fourier Transforms	p. 537
Survey of Methods and Software	p. 548
Approximating Eigenvalues	p. 550
Linear Algebra and Eigenvalues	p. 551
The Power Method	p. 560
Householder's Method	p. 577
The QR Algorithm	p. 585
Survey of Methods and Software	p. 597
Numerical Solutions of Nonlinear Systems of Equations	p. 600
Fixed Points for Functions of Several Variables	p. 602
Newton's Method	p. 611
Quasi-Newton Methods	p. 620
Steepest Descent Techniques	p. 628
Homotopy and Continuation Methods	p. 635
Survey of Methods and Software	p. 643
Boundary-Value Problems for Ordinary Differential Equations	p. 645
The Linear Shooting Method	p. 646
The Shooting Method for Nonlinear Problems	p. 653
Finite-Difference Methods for Linear Problems	p. 660
Finite-Difference Methods for Nonlinear Problems	p. 667
The Rayleigh-Ritz Method	p. 672
Survey of Methods and Software	p. 688
Numerical Solutions to Partial Differential Equations	p. 691
Elliptic Partial Differential Equations	p. 694
Parabolic Partial Differential Equations	p. 704
Hyperbolic Partial Differential Equations	p. 718
An Introduction to the Finite-Element Method	p. 726
Survey of Methods and Software	p. 741
Bibliography	p. 743
Answers to Selected Exercises	p. 753
Index	p. 831
Table of Contents provided by Syndetics. All Rights Reserved.