README: Math::Algebra::Symbols Symbolic Algebra in Pure Perl This package supplies a set of functions and operators to manipulate Perl expressions algebraically: Example symbols.pl #!perl -w -I.. #______________________________________________________________________ # Symbolic algebra. # Perl License. # PhilipRBrenan@yahoo.com, 2004. #______________________________________________________________________ use Math::Algebra::Symbols hyper=>1; use Test::Simple tests=>5; (\$n, \$x, \$y) = symbols(qw(n x y)); \$a += (\$x**8 - 1)/(\$x-1); \$b += sin(\$x)**2 + cos(\$x)**2; \$c += (sin(\$n*\$x) + cos(\$n*\$x))->d->d->d->d / (sin(\$n*\$x)+cos(\$n*\$x)); \$d = tanh(\$x+\$y) == (tanh(\$x)+tanh(\$y))/(1+tanh(\$x)*tanh(\$y)); (\$e,\$f) = @{(\$x**2 eq 5*\$x-6) > \$x}; print "\$a\n\$b\n\$c\n\$d\n\$e,\$f\n"; ok("\$a" eq '\$x+\$x**2+\$x**3+\$x**4+\$x**5+\$x**6+\$x**7+1'); ok("\$b" eq '1'); ok("\$c" eq '\$n**4'); ok("\$d" eq '1'); ok("\$e,\$f" eq '2,3'); This program is free software; you can redistribute it and/or modify it under the same terms as Perl itself. INSTALL This is alpha code. It is written in pure Perl. It uses the standard Perl install mechanism. Download from CPAN, untar and: perl Makefile.PL make make test make install If you are on Windows, use nmake, available at: http://download.microsoft.com/download/vc15/Patch/1.52/W95/EN-US/Nmake15 .exe Following the excellent work done by Steffen Müller (CPAN Author: SMUELLER), I believe that we should try to capture all known Mathematics symbolically in Perl. Indeed, can you say that you know any Mathematics at all if you cannot explain it in Pure Perl? For bug reports or suggestions please send email to: philiprbrenan@yahoo.com TO DO Help with this project would be appreciated: Allow substitution and solution for simple expressions like miles/gallon. Recognize sin, cos, sinh, cosh etc. in expressions involving exp. Sigma,Product Taylor series Integrals Fourier Laplace Groups Sets Graphing using Tk. normalizeSqrts(), see t/polynomial.t