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Number Theory
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Number Theory

Number Theory

An approach through history from Hammurapi to Legendre

André Weil - Collection Modern Birkhäuser Classics

378 pages, parution le 29/01/2007

Résumé

Number Theory or arithmetic, as some prefer to call it, is the oldest, purest, liveliest, most elementary yet sophisticated field of mathematics. It is no coincidence that the fundamental science of numbers has come to be known as the "Queen of Mathematics." Indeed some of the most complex conventions of the mathematical mind have evolved from the study of basic problems of number theory.

André Weil, one of the outstanding contributors to number theory, has written an historical exposition of this subject; his study examines texts that span roughly thirty-six centuries of arithmetical work - from an Old Babylonian tablet, datable to the time of Hammurapi to Legendre's Essai sur la Théorie des Nombres (1798). Motivated by a desire to present the substance of his field to the educated reader, Weil employs an historical approach in the analysis of problems and evolving methods of number theory and their significance within mathematics. In the course of his study Weil accompanies the reader into the workshops of four major authors of modern number theory (Fermat, Euler, Lagrange and Legendre) and there he conducts a detailed and critical examination of their work. Enriched by a broad coverage of intellectual history, Number Theory represents a major contribution to the understanding of our cultural heritage.

Sommaire

  • Protohistory.
  • Fermat and his Correspondents.
  • Euler.
  • An Age of Transition: Lagrange and Legendre.
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Caractéristiques techniques

  PAPIER
Éditeur(s) Birkhäuser
Auteur(s) André Weil
Collection Modern Birkhäuser Classics
Parution 29/01/2007
Nb. de pages 378
Format 15,6 x 23,5
Couverture Broché
Poids 570g
Intérieur Noir et Blanc
EAN13 9780817645656
ISBN13 978-0-8176-4565-6

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