TY - BOOK AU - Cuoco,Al AU - Rotman,Joseph J. TI - Learning modern algebra: from early attempts to prove Fermat's last theorem T2 - MAA textbooks SN - 9781939512017 U1 - 512 23 PY - 2013/// CY - Washington, DC PB - Mathematical Association of America KW - Algebra N1 - Includes bibliographical references and index; 1. Early number theory -- 2. Induction -- 3. Renaissance -- 4. Modular arithmetic -- 5. Abstract algebra -- 6. Arithmetic of polynomials -- 7. Quotients, fields, and classical problems -- 8. Cyclotomic integers -- 9. Epilog -- Appendices N2 - 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 ER -