Now you may ask, "What is mathematics doing in a physics lecture?" We
have several possible excuses: first, of course, mathematics is an important tool, but
that would only excuse us for giving the formula in two minutes. On the other hand, in
theoretical physics we discover that all our laws can be written in mathematical form;
and that this has a certain simplicity and beauty about it. So, ultimately, in order to
understand nature it may be necessary to have a deeper understanding of mathematical
relationships. But the real reason is that the subject is enjoyable, and although we
humans cut nature up in different ways, and we have different courses in different
departments, such compartmentalization is really artificial, and we should take our
intellectual pleasures where we find them.
--** ***The Feynman *Lectures on Physics - Vol. 1 (Algebra)