9780898719970

A First Course in Numerical Methods

by ;
  • ISBN13:

    9780898719970

  • ISBN10:

    0898719976

  • Format: Paperback
  • Copyright: 6/22/2011
  • Publisher: Society for Industrial & Applied
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Supplemental Materials

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Summary

A First Course on Numerical Methods is designed for students and researchers who seek practical knowledge of modern techniques in scientific computing. Avoiding encyclopaedic and heavily theoretical exposition, the book provides an in-depth treatment of fundamental issues and methods, the reasons behind the success and failure of numerical software, and fresh and easy-to-follow approaches and techniques. The authors focus on current methods, issues and software while providing a comprehensive theoretical foundation, enabling those who need to apply the techniques to successfully design solutions to nonstandard problems. The book also illustrates algorithms using the programming environment of MATLABŪ, with the expectation that the reader will gradually become proficient in it while learning the material covered in the book. The book takes an algorithmic approach, focusing on techniques that have a high level of applicability to engineering, computer science and industrial mathematics.

Table of Contents

List of figures
List of tables
Preface
Numerical algorithms
Roundoff errors
Nonlinear equations in one variable
Linear algebra background
Linear systems: direct methods
Linear least squares problems
Linear systems: iterative methods
Eigenvalues and singular values
Nonlinear systems and optimization
Polynomial interpolation
Piecewise polynomial interpolation
Best approximation
Fourier transform
Numerical differentiation
Numerical integration
Differential equations
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

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