Mathematics links

• The Mathematical Atlas – http://www.math.niu.edu/~rusin/known-math/
• Math Overflow – http://mathoverflow.net/ – A place for mathematicians to ask and answer questions.
• Basic Crystallography Diagrams – http://www.gh.wits.ac.za/craig/diagrams/

Blogs

• What’s new – http://terrytao.wordpress.com/

Tools

Primary tool is, off course, your brain

Numerical calculations

• GSL – GNU Scientific Library – http://www.gnu.org/software/gsl/
• Mathlab

Analytic/Symbolic calculations

• Maxima – http://maxima.sourceforge.net/ – a computer algebra system [Free, closed source]
  • Macsyma – a commercial variation of the same original code
  • “Macsyma, MAXIMA, Vaxima, … ” – http://www.symbolicnet.org/systems/macsyma.html – short overview of related versions.
• Mathomatic – http://www.mathomatic.org/math/ – a portable, command-line computer algebra system (CAS) written in C programming language. [FOSS]
• Maple – [Commercial, very expensive]
• Mathematica by Wolfram – http://www.wolfram.com/mathematica/ [Commercial, outrageously/prohibitively expensive]
• Fermat – http://home.bway.net/lewis/
• Axiom – http://www.axiom-developer.org/
• OpenAxiom – http://www.open-axiom.org/ – a fork of Axiom
• FriCAS – http://www.math.uni.wroc.pl/~hebisch/fricas.html – an Axiom fork
• Aldor – http://www.aldor.org/ – a programming language with an expressive type system well-suited for mathematical computing and which has been used to develop a number of computer algebra libraries.
• SAGE – http://www.sagemath.org/
• Mathemagix – http://www.mathemagix.org/
• Reduce – http://reduce-algebra.com/

Information:

• list of Symbolic Software Products – http://www.jaist.ac.jp/~h-ishika/symbolic_math.html
• Symbolic Algebra Discussion blog – http://www.symbolicalgebra.info/

Graphics/Plotting

• Gnuuplot – http://gnuplot.sourceforge.net/ – a portable command-line driven graphing utility. [FOSS]