Théorie Analytique de la Chaleur

Jean Baptiste Joseph Fourier

doi:10.1017/CBO9780511693229

French mathematician Joseph Fourier's Théorie Analytique de la Chaleur was originally published in 1822. In this groundbreaking study, arguing that previous theories of mechanics advanced by such outstanding scientists as Archimedes, Galileo, Newton and their successors did not explain the laws of heat, Fourier set out to study the mathematical laws governing heat diffusion and proposed that an infinite mathematical series may be used to analyse the conduction of heat in solids: this is now known as the 'Fourier Series'. His work paved the way for modern mathematical physics. This book will be especially useful for mathematicians who are interested in trigonometric series and their applications, and it is reissued simultaneously with Alexander Freeman's English translation, The Analytical Theory of Heat, of 1878.

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Théorie Analytique de la Chaleur

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Contents

Frontmatter
pp 1-8

Discours Préliminaire
pp i-xxii

CHAPITRE I - Introduction
pp 1-98

CHAPITRE II - Équations du Mouvement de la Chaleur
pp 99-158

CHAPITRE III - Propagation de la Chaleur Dans un Solide Rectangulaire Infini
pp 159-265

CHAPITRE IV - Du Mouvement Linéaire et Varié de la Chaleur Dans Une Armille
pp 266-339

CHAPITRE V - De la Propagation de la Chaleur Dans Une Sphère Solide
pp 340-368

CHAPITRE VI - Du Mouvement de la Chaleur Dans un Cylindre Solide
pp 369-394

CHAPITRE VII - Propagation de la Chaleur Dans un Prisme Rectangulaire
pp 395-410

CHAPITRE VIII - Du Mouvement de la Chaleur Dans un Cub Solide
pp 411-424

CHAPITRE IX - De la Diffusion de la Chaleur
pp 425-601

Table des Matiehes Contenues dans cet Ouvrage
pp 602-637

Errata
pp 638-640

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