## Fermat's Last Theorem: A Genetic Introduction to Algebraic Number TheoryThis introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummers theory to quadratic integers and relates this to Gauss'theory of binary quadratic forms, an interesting and important connection that is not explored in any other book. |

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### Contents

Fermat | 1 |

Euler | 39 |

From Euler to Kummer | 59 |

Kummers theory of ideal factors | 76 |

Fermats Last Theorem for regular primes | 152 |

Determination of the class number | 181 |

Divisor theory for quadratic integers | 245 |

Gausss theory of binary quadratic forms | 305 |

Dirichlets class number formula | 342 |

The natural numbers | 372 |

Answers to exercises | 381 |

403 | |

409 | |

### Other editions - View all

Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory Harold M. Edwards No preview available - 2000 |

Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory Harold M. Edwards No preview available - 1977 |

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JSTOR: Fermat's Last Theorem. A Genetic Introduction to Algebraic **...**

Fermat's Last Theorem. A Genetic Introduction to Algebraic Number Theory. Lawrence Washington. Mathematics of Computation, Vol. 32, No. 143, 943-944. ...

links.jstor.org/ sici?sici=0025-5718(197807)32%3A143%3C943%3AFLTAGI%3E2.0.CO%3B2-B

Review: Harold M. Edwards, Fermat's last theorem, a genetic **...**

Harold M. Edwards, Fermat's last theorem, a genetic introduction to algebraic number theory. Graduate Texts in Math. Springer-Verlag, Berlin and New York, ...

projecteuclid.org/ handle/ euclid.bams/ 1183548007

Fermat's Last Theorem

Fermat's Last Theorem, A Genetic Introduction to Algebraic Number Theory. hm Edwards. Springer Verlag, New York, 1977. Thirteen Lectures on Fermat's Last ...

www.cs.uwaterloo.ca/ ~alopez-o/ math-faq/ mathtext/ node9.html

11D41: Higher degree equations; Fermat's equation

ISBN 0-387-90432-8 MR 81f:10023; Edwards, Harold M., "Fermat's last theorem: A genetic introduction to algebraic number theory", GTM 50, Springer-Verlag, ...

www.math.niu.edu/ ~rusin/ known-math/ index/ 11D41.html

Springer Online Reference Works

Fermat last theorem. Fermat's last theorem surely was mathematics' most celebrated and notorious open problem. Its investigation sparked fundamental ...

eom.springer.de/ F/ f110070.htm

Edwards hm — Fermat's Last Theorem: A Genetic Introduction to **...**

Название: Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory Автор: Edwards hm Аннотация:. This book is an introduction to algebraic ...

lib.mexmat.ru/ books/ 32882

On the Use of Pseudo-Empirical Induction in Mathematics

On the Use of Pseudo-Empirical Induction in Mathematics. by William maccartney. submitted to the Department of Philosophy at Princeton University ...

nlp.stanford.edu/ ~wcmac/ papers/ peim.html

Edwards Harold M.: Fermat's Last Theorem | ISBN: 9780387950020 **...**

Offers an introduction to algebraic number theory via the problem of "Fermat's Last Theorem." This title follows the development of the problem, ...

www.bookfayre.cz/ books/ item/ 9780387950020.html.cs

Hipertexto Pitágoras: Artigos em Matemática Superior

Harold M. Edwards, em Fermat's Last Theorem, a Genetic Introduction to Algebraic Number Theory, também utilizou o método histórico. ...

www.dm.ufscar.br/ hp/ hp591/ hp591002/ hp5910022/ hp5910022.html

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Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory. Posted By: tika12 | Date: 03 Feb 2008 19:45 | Comments: 2 ...

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