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A First Course in Numerical Methods

A First Course in Numerical Methods

$109.00 (P)

Part of Computational Science and Engineering

  • Authors:
  • Uri M. Ascher, University of British Columbia, Vancouver
  • Chen Greif, University of British Columbia, Vancouver
  • Date Published: July 2011
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898719970

$ 109.00 (P)
Paperback

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About the Authors
  • 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 MATLAB®, 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.

    • Self-testing is encouraged through the inclusion of a variety of exercises and reviews in each chapter
    • Balances theory and computation
    • Illustrates algorithms using MATLAB®
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    Product details

    • Date Published: July 2011
    • format: Paperback
    • isbn: 9780898719970
    • length: 580 pages
    • dimensions: 255 x 175 x 30 mm
    • weight: 0.99kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    List of figures
    List of tables
    Preface
    1. Numerical algorithms
    2. Roundoff errors
    3. Nonlinear equations in one variable
    4. Linear algebra background
    5. Linear systems: direct methods
    6. Linear least squares problems
    7. Linear systems: iterative methods
    8. Eigenvalues and singular values
    9. Nonlinear systems and optimization
    10. Polynomial interpolation
    11. Piecewise polynomial interpolation
    12. Best approximation
    13. Fourier transform
    14. Numerical differentiation
    15. Numerical integration
    16. Differential equations
    Bibliography
    Index.

  • Resources for

    A First Course in Numerical Methods

    Uri M. Ascher, Chen Greif

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  • Authors

    Uri M. Ascher, University of British Columbia, Vancouver
    Uri Ascher is a Professor of Computer Science at the University of British Columbia in Vancouver, Canada. He has previously co-authored three other books, published by SIAM, as well as many research papers in the general area of numerical methods and their applications. He is a SIAM Fellow and a recipient of the CAIMS Research Prize.

    Chen Greif, University of British Columbia, Vancouver
    Chen Greif is an Associate Professor of Computer Science at the University of British Columbia in Vancouver, Canada. His research interests are in the field of scientific computing, with specialization in numerical linear algebra. He is currently an associate editor of the SIAM Journal on Scientific Computing.

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