Numerical Analysis

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

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy


what's this?
Rush Rewards U
Members Receive:
You have reached 400 XP and carrot coins. That is the daily max!
Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
Algebra Online content $4.95 $1.99
Add to cart
Study Briefs
Introduction to Logic Online content $4.95 $1.99
Add to cart
Study Briefs
Business Math Formulas Online content $4.95 $1.99
Customers also bought

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 Actuarial Examinations in Numerical Analysis from 1990 until 1999.

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 Preliminariesp. 1
Review of Calculusp. 2
Roundoff Errors and Computer Arithmeticp. 18
Algorithms and Convergencep. 31
Numerical Softwarep. 40
Solutions of Equations in One Variablep. 47
The Bisection Methodp. 48
Fixed-Point Iterationp. 55
Newton's Methodp. 66
Error Analysis for Iterative Methodsp. 78
Accelerating Convergencep. 86
Zeros of Polynomials and Muller's Methodp. 91
Survey of Methods and Softwarep. 101
Interpolation and Polynomial Approximationp. 104
Interpolation and the Lagrange Polynomialp. 107
Divided Differencesp. 122
Hermite Interpolationp. 133
Cubic Spline Interpolationp. 141
Parametric Curvesp. 156
Survey of Methods and Softwarep. 163
Numerical Differentiation and Integrationp. 166
Numerical Differentiationp. 167
Richardson's Extrapolationp. 178
Elements of Numerical Integrationp. 186
Composite Numerical Integrationp. 196
Romberg Integrationp. 207
Adaptive Quadrature Methodsp. 213
Gaussian Quadraturep. 220
Multiple Integralsp. 227
Improper Integralsp. 241
Survey of Methods and Softwarep. 247
Initial-Value Problems for Ordinary Differential Equationsp. 249
The Elementary Theory of Initial-Value Problemsp. 251
Euler's Methodp. 256
Higher-Order Taylor Methodsp. 266
Runge-Kutta Methodsp. 272
Error Control and the Runge-Kutta-Fehlberg Methodp. 282
Multistep Methodsp. 289
Variable Step-Size Multistep Methodsp. 301
Extrapolation Methodsp. 307
Higher-Order Equations and Systems of Differential Equationsp. 313
Stabilityp. 324
Stiff Differential Equationsp. 334
Survey of Methods and Softwarep. 342
Direct Methods for Solving Linear Systemsp. 344
Linear Systems of Equationsp. 345
Pivoting Strategiesp. 359
Linear Algebra and Matrix Inversionp. 370
The Determinant of a Matrixp. 383
Matrix Factorizationp. 388
Special Types of Matricesp. 398
Survey of Methods and Softwarep. 413
Iterative Techniques in Matrix Algebrap. 417
Norms of Vectors and Matricesp. 418
Eigenvalues and Eigenvectorsp. 430
Iterative Techniques for Solving Linear Systemsp. 437
Error Bounds and Iterative Refinementp. 454
The Conjugate Gradient Methodp. 465
Survey of Methods and Softwarep. 481
Approximation Theoryp. 483
Discrete Least Squares Approximationp. 484
Orthogonal Polynomials and Least Squares Approximationp. 498
Chebyshev Polynomials and Economization of Power Seriesp. 507
Rational Function Approximationp. 517
Trigonometric Polynomial Approximationp. 529
Fast Fourier Transformsp. 537
Survey of Methods and Softwarep. 548
Approximating Eigenvaluesp. 550
Linear Algebra and Eigenvaluesp. 551
The Power Methodp. 560
Householder's Methodp. 577
The QR Algorithmp. 585
Survey of Methods and Softwarep. 597
Numerical Solutions of Nonlinear Systems of Equationsp. 600
Fixed Points for Functions of Several Variablesp. 602
Newton's Methodp. 611
Quasi-Newton Methodsp. 620
Steepest Descent Techniquesp. 628
Homotopy and Continuation Methodsp. 635
Survey of Methods and Softwarep. 643
Boundary-Value Problems for Ordinary Differential Equationsp. 645
The Linear Shooting Methodp. 646
The Shooting Method for Nonlinear Problemsp. 653
Finite-Difference Methods for Linear Problemsp. 660
Finite-Difference Methods for Nonlinear Problemsp. 667
The Rayleigh-Ritz Methodp. 672
Survey of Methods and Softwarep. 688
Numerical Solutions to Partial Differential Equationsp. 691
Elliptic Partial Differential Equationsp. 694
Parabolic Partial Differential Equationsp. 704
Hyperbolic Partial Differential Equationsp. 718
An Introduction to the Finite-Element Methodp. 726
Survey of Methods and Softwarep. 741
Bibliographyp. 743
Answers to Selected Exercisesp. 753
Indexp. 831
Table of Contents provided by Syndetics. All Rights Reserved.
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.