The Analytical Theory of Heat

by Fourier, Jean Baptiste Joseph; Freeman, Alexander

• ISBN13: 9781108001786
• ISBN10: 1108001785
• Edition: 1st
• Format: Paperback
• Copyright: 2009-07-20
• Publisher: Cambridge Univ Pr

Summary

First published in 1878, The Analytical Theory of Heat is Alexander Freeman's English translation of French mathematician Joseph Fourier's Thèorie Analytique de la Chaleur, originally published in French in 1822. In this groundbreaking study, arguing that previous theories of mechanics advanced by such scientific greats 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. Known in scientific circles as the 'Fourier Series', this work paved the way for modern mathematical physics. This translation, now reissued, contains footnotes that cross-reference other writings by Fourier and his contemporaries, along with 20 figures and an extensive bibliography. This book will be especially useful for mathematicians who are interested in trigonometric series and their applications.

Table of Contents

Preface

Preliminary discourse

Introduction

Equation of the movement of heat

Propagation of heat in an infinite rectangular solid

Of the propagation of heat in a solid sphere

Of the movement of heat in a solid cylinder

Propagation of heat in rectangular prism

Of the movement of heat in a solid cube

Of the diffusion of heat

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