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Exercises in Computational Mathematics with MATLAB

  • Tom Lyche
  • Jean-Louis Merrien

Part of the Problem Books in Mathematics book series (PBM)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Tom Lyche, Jean-Louis Merrien
    Pages 1-8
  3. Tom Lyche, Jean-Louis Merrien
    Pages 9-24
  4. Tom Lyche, Jean-Louis Merrien
    Pages 25-42
  5. Tom Lyche, Jean-Louis Merrien
    Pages 43-63
  6. Tom Lyche, Jean-Louis Merrien
    Pages 65-101
  7. Tom Lyche, Jean-Louis Merrien
    Pages 103-129
  8. Tom Lyche, Jean-Louis Merrien
    Pages 131-151
  9. Tom Lyche, Jean-Louis Merrien
    Pages 153-175
  10. Tom Lyche, Jean-Louis Merrien
    Pages 177-219
  11. Tom Lyche, Jean-Louis Merrien
    Pages 221-248
  12. Tom Lyche, Jean-Louis Merrien
    Pages 249-280
  13. Tom Lyche, Jean-Louis Merrien
    Pages 281-320
  14. Back Matter
    Pages 363-372

About this book

Introduction

Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises.

 

Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs. Many of the MATLAB exercises are presented as Russian dolls: each question improves and completes the previous program and results are provided to validate the intermediate programs.

 

The book offers useful MATLAB commands, advice on tables, vectors, matrices and basic commands for plotting. It contains material on eigenvalues and eigenvectors and  important norms of vectors and matrices including perturbation theory; iterative methods for solving nonlinear and linear equations; polynomial and piecewise polynomial interpolation; Bézier curves; approximations of  functions and integrals and more. The last two chapters considers ordinary differential equations including two point boundary value problems, and deal with finite difference methods for some partial differential equations.

 

The format is designed to assist students working alone, with concise Review paragraphs, Math Hint footnotes on the mathematical aspects of a problem and MATLAB Hint footnotes with tips on programming.

Keywords

MATLAB programming Numerical analysis scientific computing

Authors and affiliations

  • Tom Lyche
    • 1
  • Jean-Louis Merrien
    • 2
  1. 1.Department of MathematicsUniversity of OsloOsloNorway
  2. 2.INSA de Rennes CS 70839Rennes Cedex 07France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-43511-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-662-43510-6
  • Online ISBN 978-3-662-43511-3
  • Series Print ISSN 0941-3502
  • Buy this book on publisher's site