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Numerical Computing with Sage
==========================================
This document is designed to introduce the reader to the tools in Sage
that are useful for doing numerical computation. By numerical
computation we essentially mean machine precision floating point
computations. In particular, things such as optimization, numerical
linear algebra, solving ODE's/PDE's numerically, etc. or the first
part of this document the reader is only assumed to be familiar with
Python/Sage. In the second section on using compiled code, the
computational prerequisites increase and I assume the reader is
comfortable with writing programs in C or Fortran. The third section
is on mpi and parallel programming and only requires knowledge of
Python, though familiarity with mpi would be helpful.
Finally the last section is about 3d visualization in Sage.
In the current version of this document the reader is assumed to be
familiar with the techniques of numerical analysis. The goal of this
document is not to teach you numerical analysis, but to explain how to
express your ideas in Sage and Python. Also this document is not meant
to be comprehensive. Instead the goal is to be a road map and orient
the reader to the packages relevant to numerical computation and to
where they can find more information.
.. toctree::
:maxdepth: 2
numerical_tools
using_compiled_code_iteractively
parallel_computation
visualization
Indices and tables
==================
* :ref:`genindex`
* :ref:`modindex`
* :ref:`search`