Numerical Methods, Third Edition: Using MATLAB

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9780123869425: Numerical Methods, Third Edition: Using MATLAB

Numerical Methods using MATLAB, 3e, is an extensive reference offering hundreds of useful and important numerical algorithms that can be implemented into MATLAB for a graphical interpretation to help researchers analyze a particular outcome. Many worked examples are given together with exercises and solutions to illustrate how numerical methods can be used to study problems that have applications in the biosciences, chaos, optimization, engineering and science across the board.

  • Over 500 numerical algorithms, their fundamental principles, and applications
  • Graphs are used extensively to clarify the complexity of problems
  • Includes coded genetic algorithms
  • Includes the Lagrange multiplier method
  • User-friendly and written in a conversational style

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From the Back Cover:

Skillfully balancing rigor with practicality, this progressive and visually rich piece 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 the reader 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/BENEFITS

  • Developing computing technology used through all algorithms and scripts.
  • Clear visual interpretation of results using MATLAB graphics.
  • 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 the reader understand the broad area of MATLAB application.
  • Statistical techniques placed in a clear numerical context.
    • Enables the reader 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.
  • 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.
  • Coverage on global optimization methods.

About the Author:

George Lindfield is a former lecturer in Mathematics and Computing at the School of Engineering and Applied Science, Aston University in the United Kingdom.

John Penny is an Emeritus Professor of Mechanical Engineering at the School of Engineering and Applied Science, Aston University in the United Kingdom.

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