## From Fermat to Minkowski: Lectures on the Theory of Numbers and Its Historical DevelopmentThis book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high school teachers of mathematics; it was not meant as a systematic introduction to number theory but rather as a historically motivated invitation to the subject, designed to interest the audience in number-theoretical questions and developments. This is also the objective of this book, which is certainly not meant to replace any of the existing excellent texts in number theory. Our selection of topics and examples tries to show how, in the historical development, the investigation of obvious or natural questions has led to more and more comprehensive and profound theories, how again and again, surprising connections between seemingly unrelated problems were discovered, and how the introduction of new methods and concepts led to the solution of hitherto unassailable questions. All this means that we do not present the student with polished proofs (which in turn are the fruit of a long historical development); rather, we try to show how these theorems are the necessary consequences of natural questions. Two examples might illustrate our objectives. |

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#### LibraryThing Review

Comentário do usuário - GalenWiley - LibraryThingThis book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high ... Ler resenha completa

#### LibraryThing Review

Comentário do usuário - GalenWiley - LibraryThingThis book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high ... Ler resenha completa

### Conteúdo

CHAPTER | 5 |

CHAPTER | 10 |

CHAPTER | 13 |

CHAPTER 4 | 32 |

Legendre | 57 |

CHAPTER 7 | 102 |

CHAPTER 9 | 151 |

A Preview of Reduction Theory | 169 |

### Outras edições - Visualizar todos

From Fermat to Minkowski: Lectures on the Theory of Numbers and Its ... W. Scharlau,H. Opolka Visualização parcial - 1985 |

From Fermat to Minkowski: Lectures on the Theory of Numbers and Its ... W. Scharlau,H. Opolka Não há visualização disponível - 2010 |

### Termos e frases comuns

2bxy algebraic analysis analytical arithmetical Berlin binary quadratic forms C. F. Gauss calculation Chapter class number formula coefficients complete proof compute congruence consequently consider continued fraction contradiction correspondence decomposed decomposition defined determinant Dirichlet series discriminant Disquisitiones Disquisitiones Arithmeticae divisor equation Euler example expansion expression Fermat finite following theorem form ax Fourier function fundamental unit Hence important infinitely integers Jacobi Kummer Lagrange Lagrange's lattice point law of quadratic Legendre Lemma Leonhard Euler Let us assume mathematicians mathematics matrix Minkowski modulo multiple narrow class group natural number norm number theory number-theoretical obtains Obviously polynomial positive solutions prime element prime number principal ideal domain problem proper equivalence classes properly equivalent prove Q(Vd quadratic number field quadratic reciprocity quadratic residue reduced form relatively prime Remark representation represented residue modulo solvable specifically square free squares statement suffices to show Zeta-function