Elements d'histoire des mathematiques / Edition 1

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More About This Textbook

Overview

Ce volume rassemble les notes historiques parues dans les différents livres des éléments de mathématique de l'auteur. Elles concernent donc l'ensemble des matières abordées dans ce traité : théorie des ensembles, algèbre, topologie, fonctions d'une variable réelle, espaces vectoriels topologiques, intégration, algèbre commutative, groupes et algèbres de Lie.

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Product Details

  • ISBN-13: 9783540339380
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 12/18/2006
  • Language: French
  • Edition description: Reimpression inchangee de l'edition originale de 1984
  • Edition number: 1
  • Pages: 376
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.78 (d)

Table of Contents

Fondements des mathématiques; logique; théorie des ensembles.- Numération; analyse combinatoire.- L’evolution de l’algèbre.- Algèbre linéaire et algèbre multilinéaire.- Polynomes et corps commutatifs.- Divisibilité ; corps ordonnés.- Algèbre commutative; théorie des nombres algébriques.- Algèbre non commutativ.- Formes quadratiques; géometrie élémentaire.- Espaces topologiques.- Espaces uniformes.- Nombres réels.- Exponentielles et logarithmes.- Espaces à n dimensions.- Nombres complexes; mesure des angles.- Espaces métriques.- Calcul ininitésimal.- Développements asymptotiques.- La fonction gamma.- Espaces fonctionnels.- Espaces vectoriels topologiques.- Intégration dans les espaces localement compacts.- Mesure de Haar; convolution.- Intégration dans les espaces non localement compacts.- Groupes de Lie et algèbres de Lie.- Groupes engendr&e's par des réflections. Systèmes de racines.

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