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Learning modern algebra : from early attempts to prove Fermat's last theorem / Al Cuoco and Joseph J. Rotman.

By: Contributor(s): Material type: TextTextSeries: MAA textbooksPublication details: Washington, DC : Mathematical Association of America, ©2013.Description: xix, 459 p. : illustrations ; 28 cmISBN:
  • 9781939512017
Subject(s): DDC classification:
  • 512 23 C973
Contents:
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.
Summary: 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.
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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.

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.

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