Learning modern algebra : from early attempts to prove fermats last theorem Learning Modern Algebra is designed for college students who want to teach mathematics in high school but it can serve as a text for standard abstract algebra courses as well. [...] The presentation is organized historically: the Babylonians introduced Pythagorean triples to teach the Pythagorean theorem; these were classified by Diophantus and eventually this led Fermat to conjecture his Last Theorem. Publisher description Early number theory Induction Renaissance Modular arithmetic Abstract algebra Arithmetic of polynomials Quotients fields and classical problems Cyclotomic integers Epilog Appendices