The book was planed in 1991 as Swiss-Czech cooperation of the three institutions:

- Department of Theoretical Physics and Astrophysics of Masaryk University, Brno, Czech Republic
- Institute of Physics of the University of Agriculture and Forestry, Brno, Czech Republic
- Institute of Scientific Computing ETH, Zürich, Switzerland

The first edition of this book has been very well received by the
community, and this has made it necessary to write a second edition
within one year in 1994. We added two new chapters and expanded some old ones.
Some typographical errors were corrected, and we
also rephrased some text to facilitate understanding.
All programs were again adapted to the newest versions of the software i.e.
to Maple V Release 3 and to MATLAB Version v4. In order to simplify
the production of the book we again chose the *pretty print*
output mode for the Maple output.

In the third edition in 1997 the book has been enlarged by six new chapters.
Some of the previous chapters were revised: a
new way to solve a system of differential equations was added.
The index has been considerably enlarged and split into three parts,
two of them containing all Maple and MATLAB
commands used in this book. We are indebted to Rolf Strebel for this work.
All chapters have been adapted to Maple
Version 5 Release 4 and MATLAB 5.
With Maple
Release 4, some statements have changed compared to the previous
editions of this book.
MATLAB 5 offers new M-files for the integration of
differential equations. While in the older versions one had to
specify an interval for the independent variable, there were now new
possibilities to stop the integration process. We have made use of
this new feature and simplified our codes.
As some reviewers criticized that the ASCII output of Maple does
not look nice we have transformed
all the formulas using the Maple *latex* command into LaTeX. We
thank Erwin Achermann who checked and adapted the layout.
We did not make use of the Symbolic Math Toolbox, mainly because we
did want to use both systems equivalently and complementary.
Because of increasing interest we offered the programs for free
on a FTP server.

We were very pleased to hear from our publisher that there were requests for translations into other languages. A Chinese edition was soon published in 1999 followed by a Portuguese edition in 2001.

In 2001, the third edition was sold out and the editors decided to have a
second printing of the third edition with updated programs for
Maple 7 and
MATLAB Version 6.1.0.450 Release 12.1. The computations were
performed by Stanislav Bartoň with the help of Dominik Gruntz and
Rolf Strebel. Stanislav discovered a bug in the *fsolve* command
in Maple 7.
Maplesoft helped us and provided a workaround for that problem.

The fourth edition was enlarged by four new chapters and printed in May 2004. Some of the previous chapters were again revised using new possibilities offered by Maple and MATLAB. Stanislav Bartoň and Jan Pešl tested and adapted all the programs to Maple 9 and MATLAB 6.5 Release 13. The current webpage was created for the book. All Maple and MATLAB programs are available through this web page. The web has become a overwhelming source of information for each one of us. We felt that it would be useful to list some important and interesting web pages related to Maple and MATLAB. This information can be found in the appendix. When we started this book in 1993, there was not much similar material around. The world has definitely changed and one can find many interesting solved problems in scientific computing in cyber space. We are glad to have participated as pioneers in this development.