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Problem Books in Mathematics

Exercises in Computational Mathematics with MATLAB

Authors: Lyche, Tom, Merrien, Jean-Louis

  • Includes numerous step-by-step tutorials and student-tested exercises to help the reader learn quickly
  • Covers a wide range of MATLAB programming techniques from tables, vectors and basic commands for plotting through eigenvalues
  • Highlights important points with Review paragraphs, Math Hints and MATLAB programming tips
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Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-662-43511-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA in USD
  • ISBN 978-3-662-43510-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA in USD
  • ISBN 978-3-662-52400-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Both authors have a long experience, at university and engineering school, in teaching numerical methods and numerical analysis. The authors started research collaboration a few years ago. They realized that they had complementary approaches to mathematical research and teaching. They think that combining these approaches gives an interesting perspective for an original book.

Tom Lyche has received the Dagstuhl foundation’s John Gregory Memorial Award for "Outstanding contributions to geometric modeling" and is a member of Norwegian Academy of Science and Letters. He has published more than 85 papers in leading international journals and refereed proceedings, edited 14 books and is on the editorial board of 4 international journals.

Jean-Louis Merrien is active as a researcher on subdivision and has published the book “Analyse Numerique avec Matlab”, Dunod, Paris 2007.

Reviews

From the book reviews:

“This is a very interesting and useful book for any advanced undergraduate and beginning graduate student on mathematics, statistics, computational physics, chemistry, and engineering, with a focus on numerical analysis and computational science. The main scope of this book is to provide students with the opportunity to apply numerical analysis and the well-known MATLAB to solve problems in their own specialties.” (T. E. Simos, Computing Reviews, January, 2015)

“This is an interesting new kind of book in the area of numerical analysis. … It is widely accepted that solving exercises is essential to achieve a deeper understanding of a mathematical topic. Under this point of view the present book can be seen as an adequate vehicle to really get into the field of numerical analysis. … the book can also serve as a rich source of exercises for university courses.” (Rolf Dieter Grigorieff, zbMATH, Vol. 1304, 2015)

Table of contents (13 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-662-43511-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA in USD
  • ISBN 978-3-662-43510-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA in USD
  • ISBN 978-3-662-52400-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Exercises in Computational Mathematics with MATLAB
Authors
Series Title
Problem Books in Mathematics
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-43511-3
DOI
10.1007/978-3-662-43511-3
Hardcover ISBN
978-3-662-43510-6
Softcover ISBN
978-3-662-52400-8
Series ISSN
0941-3502
Edition Number
1
Number of Pages
XII, 372
Number of Illustrations
46 b/w illustrations, 90 illustrations in colour
Topics