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Mathematical
Principles for Scientific Computing and Visualization
is intended for students and researchers
in sciences-related 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 domain-specific
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 the book's web site, as well as the code used for running the
examples in the book. There will also be a complete set of classroom
presentations.
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