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Addison-Wesley / Prentice Hall

Mathematics

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Applied Numerical Analysis, 7/E
Curtis F. Gerald, California Polytechnic State University
Patrick O. Wheatley, California Polytechnic State University

ISBN-10: 0321133048
ISBN-13:  9780321133045

Publisher:  Addison-Wesley
Copyright:  2004
Format:  Paper; 624 pp
Published:  07/31/2003
Status: Instock


Suggested retail price: $73.33
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The seventh edition of this classic text has retained the features that make it popular, while updating its treatment and inclusion of Computer Algebra Systems and Programming Languages. Interesting and timely applications motivate and enhance students' understanding of methods and analysis of results. This text incorporates a balance of theory with techniques and applications, including optional theory-based sections in each chapter. The exercise sets include additional challenging problems and projects which show practical applications of the material. Also, sections which discuss the use of computer algebra systems such as Maple®, Mathematica®, and MATLAB®, facilitate the integration of technology in the course. Furthermore, the text incorporates programming material in both FORTRAN and C. The breadth of topics, such as partial differential equations, systems of nonlinear equations, and matrix algebra, provide comprehensive and flexible, coverage of all aspects of numerical analysis.

  • Applied problems and applications emphasize real applications not detailed mathematical theorems
  • Computer programs in either Fortran 90 or C are given at the conclusion of each chapter.
  • Treats Linear systems before non-linear systems.
  • The pace of topic presentation is appropriate for the audience.
  • Excellent treatment of parallel processing.

  • Added coverage of both Matlab and Maple with detailed instructions in both computer algebra systems.
  • More challenging problems have been added to the end of the exercise sets.



0. Preliminaries.

Analysis versus Numerical Analysis.

Computers and Numerical Analysis.

An Illustrative Example.

Kinds of Errors in Numerical Procedures.

Interval Arithmetic.

Parallel and Distributed Computing.

Measuring the Efficiency of Procedures.



1. Solving Nonlinear Equations.

Interval Halving (Bisection).

Linear Interpolation Methods.

Newton's Method.

Muller's Method.

Fixed-Point Iteration.

Other Methods.

Nonlinear Systems.



2. Solving Sets of Equations.

Matrices and Vectors.

Elimination Methods.

The Inverse of a Matrix and Matrix Pathology.

Almost Singular Matrices - Condition Numbers.

Interactive Methods.

Parallel Processing.



3. Interpolation and Curve Fitting.

Interpolating Polynomials.

Divided Differences.

Spline Curves.

Bezier Curves and B-Splines.

Interpolating on a Surface.

Least Squares Approximations.



4. Approximation of Functions.

Chebyshev Polynomials and Chebyshev Series.

Rational Function Approximations.

Fourier Series.



5. Numerical Differentiation and Integration.

Differentiation with a Computer.

Numerical Integration - The Trapezoidal Rule.

Simpson's Rules.

An Application of Numerical Integration - Fourier Series and Fourier Transforms Adaptive Integration.

Gaussian Quadrature.

Multiple Integrals.

Applications of Cubic Splines.



6. Numerical Solution of Ordinary Differential Equations.

The Taylor Series Method.

The Euler Method and Its Modification.

Runge-Kutta Methods.

Multistep Methods.

Higher-Order Equations and Systems.

Stiff Equations.

Boundary-Value Problems.

Characteristic-Value Problems.



7. Optimization.

Finding the Minimum of y = f(x).

Minimizing a Function of Several Variables.

Linear Programming.

Nonlinear Programming.

Other Optimizations.



8. Partial Differential Equations.

Elliptic Equations.

Parabolic Equations.

Hyperbolic Equations.



9. Finite Element Analysis.

Mathematical Background.

Finite Elements for Ordinary Differential Equation.

Finite Elements for Partial Differential Equation.



Appendices.

A. Some Basic Information from Calculus.

B. Software Resources.



Answers to Selected Exercises.


References.


Index.

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©2004 | Addison-Wesley | Paper | Instock
ISBN-10: 0321199367 | ISBN-13: 9780321199362


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ISBN-10: 0321357744 | ISBN-13: 9780321357748
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URL:  http://www.aw-bc.com/tutorcenter
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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, browse our available packages below, or contact your Pearson Higher Education representative to create your own package.

Package ISBN-10: 0321233964 | ISBN-13: 9780321233967
©2004 | Instock (Additional assembly time required) | Suggested retail price: $73.33 | Buy from myPearsonStore
This package contains:

Gerald & Wheatley | ©2004 | Addison-Wesley | Paper; 624 pp
n/a | ©2000 | Addison-Wesley | Paper
  • Bundle Access Code AWHE Tutor Center
n/a | ©2006 | Addison-Wesley | Access Code Card


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