[Book Cover]

Numerical Methods Using MATLAB, 2/e

George Lindfield, Aston University, UK
John Penny, Aston University, UK

Published August, 1999 by Prentice Hall Engineering/Science/Mathematics

Copyright 2000, 482 pp.
Paper
ISBN 0-13-012641-1


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Summary

Suitable for Modern Numerical Methods courses for third and fourth years of study. A good basic reference for postgraduates. Skillfully balancing rigor with practicality, this progressive and visually rich text on using MATLAB software explores how this modern and powerful computing technology can—in an elegant and efficient way—solve exacting and interesting problems that have application in science and industry. Encouraging systematic experimentation, it offers an extensive, hands-on study of MATLAB functions and exposes students to a wide range of numerical algorithms—including optimization and regression analysis with applications of symbolic methods—with full explanations of their fundamental principles and illustrations of their application.

Features


Developing computing technology used through all algorithms and scripts.

  • Keeps students abreast of cutting-edge technology on an ongoing basis; and improves the pace and pleasure of students' overall learning experience.
Clear visual interpretation of results using MATLAB graphics.
  • Clarifies results for students and provides them with a deeper understanding.
Use of symbolic methods—Includes a full chapter on the use of the MATLAB symbolic toolbox and its application to numerical methods.
  • Allows comparison of different approaches to many problems and enhances opportunities for testing and experimentation.
Introduction to the important field of optimization.
  • Helps students understand the broad area of MATLAB application.
Statistical techniques placed in a clear numerical context.
  • Enables students to grasp complex but widely applied concepts.
MATLAB symbolic toolbox—Includes a full chapter on the use of the MATLAB symbolic toolbox and its applications to numerical methods.
  • Allows comparison of different approaches to many problems and enhances opportunities for testing and experimentation.
The most current MATLAB functions—Includes functions for obtaining specific eigenvalues; for the solution of differential equations (including methods for stiff differential equations); and for regression analysis.
  • Empowers students with maximum task efficiency and accuracy, and gives them the statistics they need to make informed judgments about such areas as model improvement.
Coverage on global optimization methods.
  • Gives students an easy introduction to this difficult but widely applied field.


Table of Contents
    1. An Introduction to MATLAB.
    2. Linear Equations and Eigensystems.
    3. Solution of Non-Linear Equations.
    4. Differentiation and Integration.
    5. Solution of Differential Equations.
    6. Boundary Value Problems.
    7. Fitting Functions to Data.
    8. Optimization Methods.
    9. Applications of the Symbolic Toolbox.
    Appendix 1. Matrix Algebra.
    Appendix 2. Error Analysis.
    Appendix 3. Special Maple Functions.
    Appendix 4. MATLAB Functions.
    References.
    Solutions to Problems.
    Index.


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