The Analytical Theory of Heat
Published on 20. July 2009
Book
Paperback/Softback
496 pages
978-1-108-00178-6 (ISBN)
Description
First published in 1878, The Analytical Theory of Heat is Alexander Freeman's English translation of French mathematician Joseph Fourier's Theorie 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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 29 mm
Weight
798 gr
ISBN-13
978-1-108-00178-6 (9781108001786)
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Schweitzer Classification
Persons
Content
Preface; Preliminary discourse; 1. Introduction; 2. Equation of the movement of heat; 3. Propagation of heat in an infinite rectangular solid; 5. Of the propagation of heat in a solid sphere; 6. Of the movement of heat in a solid cylinder; 7. Propagation of heat in rectangular prism; 8. Of the movement of heat in a solid cube; 9. Of the diffusion of heat.