May I recommend my new book on mathematical modeling to you, which is
based on R as a main software tool:
Kai Velten: Mathematical Modeling and Simulation, Wiley-VCH, 2009,
ISBN 978-3527407583.
See also:
http://www.wiley.com/WileyCDA/WileyTitle/productCd-3527407588.html
http://books.google.com/books?id=Czp1N5UWpyEC
List of reviews below.
The book covers a broad range of mathematical models including
statistics, ordinary and partial differential equations, 3D FD- and
FE-models in CFD and structural mechanics etc. It includes an
introduction into R and 31 R programs that can be downloaded in the
Internet. It is shown how R can be embedded into an integrated
open-source software concept which covers the entire range of models
mentioned above, and which includes other outstanding open-source
software packages such as Maxima, Salome-Meca, CAELinux etc.
Please send any comments on this book directly to me under kai.velten
at gmail.com ? thank you.
List of reviews (2009-06-17):
?...Very solid introductory text at the undergraduate level aimed at
wide audience. Perfectly fits introductory modeling courses at
colleges and universities that prefer to use open-source software
rather than commercial one, and is an enjoyable reading in the first
place. Highly recommended both as a main text and a supplementary
one... This delightful book has two unbeatable features that should
absolutely win the audience ... First of all, it illuminates many
important conceptual ideas of mathematical modelling... Second, ...
this book enthusiastically promotes open-source software that works on
most computers and operating systems and is freely available on the
web... Professor Velten suggests an elegant approach to mathematical
modeling, carefully going through all important steps from
identification of a problem, definition of the associated system under
study and analysis of the system's properties to design of a
mathematical model for the system, its numerical simulation and
validation...?
Yuri V. Rogovchenko, Zentralblatt MATH (European Mathematical Society)
?? The book is certainly a reference for those, beginners or
professional, who search for a complete and easy to follow
step-by-step guide in the amazing world of modelling and simulation
... A number of examples, exercises and software commands (along the
text and in the Appendix) enrich the text, helping the reader to
approach the world of modelling and simulation ? The reader is
introduced into the programming but most important in the problems
that may arise in the modelling process, in the numerical treatment of
the models and in their interpretation ... It is shown that
mathematical models and simulation, if adequately used, help to reduce
experimental costs by a better exploration of the information content
of experimental data...
Marcello Vasta, Meccanica, International Journal of Theoretical and
Applied Mechanics
?? With its focus on applications, this book is for readers with just
a basic knowledge of
mathematics. The chapters develop any advanced theory that is required...?
Idalia Flores, Computing Reviews, Association for Computing Machinery, New York
?... The author takes up quite a large number of topics ? he is
clearly an enthusiastic teacher ? (he) has broad experience and
expertise to share with students ? there are a number of good examples
...?
Bill Satzer (3M Company), Reviews of the Mathematical Association of America
Publisher's product description:
The only book on modeling and simulation that is exclusively based on
open source software. It includes many examples from such diverse
fields as biology, ecology, economics, medicine, agricultural,
chemical, electrical, mechanical, and process engineering. Requiring
only little mathematical prerequisite in calculus and linear algebra,
this lucidly written text is accessible to scientists, engineers, and
students at the undergraduate level. The book addresses a broad range
of models from elementary statistical models to ODE and PDE models.
The reader is introduced into CAELinux, Calc, Code-Saturne, Maxima, R,
and Salome-Meca, and the entire book software - including 3D CFD and
structural mechanics simulation software - can be used based on a free
CAELinux-Live-DVD that is available in the Internet (works on most
machines and operating systems)
--
Kai Velten
FH Wiesbaden, Fb. Gshm, von-Lade-Stra?e 1, D-65366 Geisenheim, Germany
Tel: +49 6722 502-734, 0176/43034606
Fax: 01212/505152745
Email: kai.velten at gmail.com
