Skip To Page Navigation|Skip To Page Content

Addison-Wesley / Prentice Hall

Mathematics

My Instructor Resource Center : Log in or request access

Numerical Analysis and Scientific Computation
Jeffery J. Leader, Rose-Hulman Institute of Technology

ISBN-10: 0201734990
ISBN-13: 9780201734997

Publisher: Pearson
Copyright: 2005
Format: Cloth; 608 pp
Published: 02/05/2004
Status: Instock

Net price: $96.00 (What's this?)

Request a printed exam copy

Email this page to a colleague
Prepare for the First Day of Class
Learn about customization options

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.

Quick introduction to numerical methods, with round-off error and computer arithmetic deferred until students have had experience with real algorithms.

Modern approach to numerical linear algebra.

Explanation of numerical techniques from MATLAB and other programs and subroutine libraries.

Appropriate mix of numerical analysis theory and practical scientific computation principles.

Greater than usual emphasis on optimization.

Extensive numerical experiments so students can gain experience.

Efficient and unobtrusive introduction to MATLAB.

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.

Numerical Analysis (Mathematics)

Instructor's Solutions Manual
Brown & Haynes
©2005 | Pearson | Electronic Supplement; 320 pp | Instock
ISBN-10: 0321257324 | ISBN-13: 9780321257321
View Downloadable Files

Student Solution's Manual
Brown & Haynes
©2005 | Pearson | On-line Supplement; 208 pp | Instock
ISBN-10: 0321257332 | ISBN-13: 9780321257338

For the Mathematics Discipline

Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Pearson | Paper | Instock
ISBN-10: 0321247086 | ISBN-13: 9780321247087
Suggested retail price: $4.00Net price: $3.00 (What's this?)

Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Pearson | Paper | Instock
ISBN-10: 0321247078 | ISBN-13: 9780321247070
Suggested retail price: $4.00Net price: $3.00 (What's this?)

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
Net price: $3.00 (What's this?)

Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Net price: $3.00 (What's this?)

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Net price: $3.00 (What's this?)

Concept Videos: Algebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197
Suggested retail price: $37.80Net price: $28.35 (What's this?)

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586
Suggested retail price: $37.80Net price: $28.35 (What's this?)

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
Net price: $31.10 (What's this?)

Finite Mathematics Study Card
Addison-Wesley
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
Net price: $3.00 (What's this?)

Flash Review Series: Algebra
Becker
©2004 | Pearson | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
Net price: $8.64 (What's this?)

Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
Net price: $3.00 (What's this?)

Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
Net price: $10.00 (What's this?)

Math for Allied Health Study/Reference Card
Forshier
©2006 | Pearson | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545
Suggested retail price: $4.00Net price: $3.00 (What's this?)

Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Pearson | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
Net price: $9.30 (What's this?)

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
Net price: $27.50 (What's this?)

Pearson TI Rebate Coupon $15, 2/E
Pearson
©2009 | Pearson | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041
Suggested retail price: $0.00Net price: $0.00 (What's this?)

Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
Net price: $27.50 (What's this?)

Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
Net price: $27.50 (What's this?)

Saleable Technology Bundle, 2/E
Pearson
©2009 | Pearson | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886
Suggested retail price: $39.93Net price: $29.95 (What's this?)

Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
Net price: $3.00 (What's this?)

Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Pearson | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
Net price: $36.15 (What's this?)

Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students contact your Pearson Higher Education representative.