Mathematical and Computational Software

Axiom is a free general purpose computer algebra system. It consists of an interpreter environment, a compiler and a library, which defines a strongly typed, mathematically correct type hierarchy. The primary philosophy is that Axiom needs to develop several fundamental features in order to be useful to the next generation of computational mathematicians.

This tutorial is the best way to become familiar with SageMath in only a few hours.

This fantastic and deep book about how to use SageMath for learning and doing mathematics. It is filled with many carefully thought through examples and exercises, and great care has been taken to put computational functionality into proper mathematical context.

As the open-source and free competitor to expensive software like Maple™, Mathematica®, Magma, and MATLAB(R), Sage offers anyone with access to a web browser the ability to use cutting-edge mathematical software and display his or her results for others, often with stunning graphics.

This excellent book represents the final part of three-volumes regarding MATLAB-based applications in almost every branch of science. The book consists of 19 excellent, insightful articles and the readers will find the results very useful to their work. In particular, the book consists of three parts, the first one is devoted to mathematical methods in the applied sciences by using MATLAB, the second is devoted to MATLAB applications of general interest and the third one discusses MATLAB for educational purposes. This collection of high quality articles, refers to a large range of professional fields and can be used for science as well as for various educational purposes.

In MATLAB Succinctly, Learn the essential skills needed to use the flexible MATLAB system. You will be able to apply the highly modular system towards the purposes you need by harnessing the power of its different toolboxes.

LAPACK95 is a Fortran 95 interface to the Fortran 77 LAPACK library. It is relevant for anyone who writes in the Fortran 95 language and needs reliable software for basic numerical linear algebra. It improves upon the original user-interface to the LAPACK package, taking advantage of the considerable simplifications that Fortran 95 allows. LAPACK95 Users' Guide provides an introduction to the design of the LAPACK95 package, a detailed description of its contents, reference manuals for the leading comments of the routines, and example programs.