The use of computers to solve modern scientific problems is very
widespread. The impact of the improvement of our techniques for the
solution of complex problems is difficult to overstate. Even our
approach to most problems has been changed. Solutions to problems
once thought intractable are being routinely secured. Instead of
using oversimplified models, as has been the practice for the
treatment of scientific systems in the past, the entire problem can
now be attacked.
The second edition of Computation in Modern Physics develops and
presents algorithms for the solution of many types of mathematical
systems, some dating as far as the last few centuries, but also
quite a number that have been developed within the last 10-50
years.
In this last category, close attention is paid to the rapidly
developing area of Monte Carlo techniques where new conceptual
views of physics problems are being brought into play. With this
method, problems in a large number of dimensions can be solved
through the introduction of a modern method for the representation
of multidimensional functions.
This book is suitable for two different levels in computational
physics. The first part is an advanced introductory level and is
appropriate for good students with no previous experience in
computational methods or any student with some experience. Here the
student is introduced to integral and differential techniques,
Monte Carlo integration, basic computer architecture, methods of
linear algebra, finite element techniques, digital signal
processing and chaos.
The second part of the book is more specialized for problems in
strong interaction with emphasis on solutions to many-body
scattering problems andseveral-body bound state calculations with
Monte Carlo techniques. It also contains a chapter dealing with
techniques for the summation of divergent series.
General
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