I've not been able look at this much and will try to do better review if time permits, but here's a very small piece of feedback: https://svn.boost.org/svn/boost/sandbox/SOC/2008/polynomial/libs/docs/index.... - typo "substraction" should be "subtraction". https://svn.boost.org/svn/boost/sandbox/SOC/2008/polynomial/libs/docs/index.... - typo "Greates Common" should be "Greatest Common". This _extremely_ basic program failed to compile under MSVC 2003 SP1 (7.1): #include <boost/polynomial.hpp> int main() { } with these errors: c:\polynomial\boost\polynomial.hpp(109) : error C2783: 'boost::math::tools::polynomial<IntegerType> boost::math::tools::gcd(boost::math::tools::polynomial<IntegerType>,boost::math::tools::polynomial<IntegerType>)' : could not deduce template argument for 'IntegerType' c:\polynomial\boost\polynomial.hpp(33) : see declaration of 'boost::math::tools::gcd' c:\polynomial\boost\polynomial.hpp(248) : see reference to class template instantiation 'boost::math::tools::polynomial<FieldType>' being compiled c:\polynomial\boost\polynomial.hpp(109) : error C2063: 'boost::math::tools::gcd' : not a function I am using Boost 1.38.0. It stopped me looking further at the library. I'll try to get past this and continue if time permits... Regards, Peter Barker