Celestial Calculations: A Gentle Introduction to Computational Astronomy

A gentle introduction to

The PythonTEX package allows authors to combine computational and typesetting tasks by embedding Python code in TEX documents. This package allows access to many powerful Python modules, providing support for such things as symbolic mathematics, plotting, arbitrary precision numerical calculations, and networking. Python’s intuitive syntax, popularity, and extensibility along with TEX’s formatt...

A Gentle Introduction to Tensors

A Gentle Introduction to Globus

As computers become better connected across the globe, opportunities to create new programs utilizing geographically distant resources increase. New applications not possible without this computational grid include distributed supercomputing and intelligent sensing applications. However, di culties implementing this new class of applications exist: the computers on a grid are unreliably connect...

A Gentle Introduction to NUMERICA

NUMERICA is a modeling language for stating and solving global optimization problems. It makes it possible to express these problems in a notation close to the way these problems are stated in textbooks or scientific papers. In addition, the constraint-solving algorithm of NUMERICA, which combines techniques from numerical analysis and artificial intelligence, provides many guarantees about cor...

A Gentle Introduction to Grassmannians

We introduce the Grassmannian G(k, V ) as a set, and via the tools of multilinear algebra, the Plücker embedding and the Plücker coordinates on G(k, V ). We also prove some basic theorems about the Grassmannians and attempt to familiarize the reader with some of the fundamental ideas and language needed to work with the Grassmannian and its subvarieties.