Mathematical
Principles for Scientific Computing and Visualization
is intended for students and researchers
in sciencesrelated areas, e.g., biology, geography, or psychology.
In the course of their research pursuits, they will be exposed to
various packages for solving their problems, be it from statistics,
applied math, or scientific visualization in addition to domainspecific
software. This book is intended as a guide to understanding what
is underlying the more general software packages. Naïve and uneducated
use might produce meaningless or erroneous results.
Hence
this text is not a traditional introduction to the mathematics of
scientific computation. Instead it describes the principles behind
the major methods in a way that is accessible to a large part of
the scientific community. Many examples are included (in favor of
any proofs), but not only those which actually work  it is often
more important to understand and learn from failed attempts.
The
book provides a copious number of illustrations, and not only in
the ``visualization" part. The reader is lead to understand many
concepts by graphical examples. All illustrations are available
on this web site, as well as the Mathematica code used for running
the examples in the book. There is also a complete set of classroom
presentations. (These material may be found under teaching
materials and downloads.)
