Bibliographic Information

Oeuvres de Fourier

edited by Jean Gaston Darboux

(Cambridge library collection)

Cambridge University Press, 2013

Digitally printed version

  • v. 1 : pbk
  • v. 2 : pbk

Available at  / 4 libraries

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Note

Reproduction of: Paris : Gauthier-Villars et fils, 1888-1890

Pagination: v. 1: (xxviii, 563 p.), v. 2: (xii, 636 p.)

Contents of Works

  • v. 1: Théorie analytique de la chaleur
  • v. 2: Mémoires publiés dans divers recueils

Description and Table of Contents

Volume

v. 1 : pbk ISBN 9781108059381

Description

Following the French Revolution, the physicist and mathematician Jean Baptiste Joseph Fourier (1768-1830) taught at the Ecole Normale Superieure and later succeeded Lagrange at the Ecole Polytechnique. He was promoted to administrative positions under Napoleon, but continued to pursue his scientific interests. From 1822 until his death he served as the permanent secretary for mathematical sciences at the Academie des Sciences. Thanks to his substantial contributions to the field, Fourier's name has passed as an adjective into the mathematical vocabulary of every major language. These selected works were edited by the mathematician Jean Gaston Darboux (1842-1917) and published in two volumes between 1888 and 1890. Volume 1 is given over entirely to the immortal Theorie analytique de la chaleur (1822), from which the world learnt about the heat equation and the series which bears Fourier's name.

Table of Contents

  • Avant-propos
  • Part I. Theorie Analytique de la Chaleur: 1. Introduction
  • 2. Equation du mouvement de la chaleur
  • 3. Propagation de la chaelur dans un solide rectangulaire infini
  • 4. Du mouvement lineaire et varie de la chaleur dans une armille
  • 5. De la propagation de la chaleur dans une sphere solide
  • 6. Du mouvement de la chaleur dans un cylindre solide
  • 7. Propagation de la chaleur dans un prisme rectangulaire
  • 8. Du mouvement de la chaleur dans un cube solide
  • 9. De la diffusion de la chaleur
  • Table des matieres.
Volume

v. 2 : pbk ISBN 9781108059398

Description

Following the French Revolution, the physicist and mathematician Jean Baptiste Joseph Fourier (1768-1830) taught at the Ecole Normale Superieure and later succeeded Lagrange at the Ecole Polytechnique. He was promoted to administrative positions under Napoleon, but continued to pursue his scientific interests. From 1822 until his death he served as the permanent secretary for mathematical sciences at the Academie des Sciences. These selected works were edited by the mathematician Jean Gaston Darboux (1842-1917) and published in two volumes between 1888 and 1890. Volume 2 contains several extraordinary contributions: the first paper to address the question of why the earth's surface is warm (which we now call the greenhouse effect), the first paper to address the cooling of the earth's interior (still a major research topic) and the first paper on optimisation under linear constraints, along with the results on roots of polynomials which first made Fourier's reputation.

Table of Contents

  • Avertissement
  • Liste des ouvrages scientifiques de Fourier
  • Errata
  • Part II. Memoires Publies dans Divers Recueils: 1. Memoires extraits des recueils de l'Academie des Sciences de l'Institut de France
  • 2. Notes et memoires extraits des bulletins de la Societe Philomathique
  • 3. Notes et memoires extraits des Annales de chimie et de physique
  • 4. Memoires divers
  • Supplement a la premiere section
  • Table des matieres.

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