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The Analytical Theory of Heat

The Analytical Theory of Heat
Author: Jean-Baptiste-Joseph Fourier
Publisher:
Total Pages: 522
Release: 1878
Genre: Fourier series
ISBN:

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The Analytical Theory of Heat

The Analytical Theory of Heat
Author: Joseph Fourier
Publisher: Cosimo, Inc.
Total Pages: 497
Release: 2007-10-01
Genre: Science
ISBN: 1602068569

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In this pioneering work of mathematics, Joseph Fourier shows how the conduction of heat in solid bodies can be analyzed in terms of an infinite mathematical series. Known as the Fourier Series, this was the first correct theory on heat diffusion and continues to be used in present-day analysis. For anyone interested in the theory of heat or in the mathematical tools developed by Fourier, this classic work remains indispensable. Born the son of a French tailor, JOSEPH FOURIER (1768-1830) was a mathematician, Egyptologist, and politician whose strong influence on mathematical physics continues to this day. His other works include Description of Egypt and Analysis of Determinate Equations.


The Analytical Theory of Heat

The Analytical Theory of Heat
Author: Jean-Baptiste-Joseph Fourier
Publisher:
Total Pages: 534
Release: 1878
Genre: Heat
ISBN:

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The Analytical Theory of Heat

The Analytical Theory of Heat
Author: Jean Baptiste Joseph baron Fourier
Publisher:
Total Pages:
Release: 1878
Genre: Heat
ISBN:

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The Analytical Theory of Heat

The Analytical Theory of Heat
Author: Jean-Baptiste Joseph Fourier
Publisher:
Total Pages: 0
Release: 1945
Genre:
ISBN:

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Analytical Heat Diffusion Theory

Analytical Heat Diffusion Theory
Author: Alekseĭ Vasilʹevich Lykov
Publisher: Academic Press
Total Pages: 700
Release: 1968-01-28
Genre: Science
ISBN:

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Analytical Heat Diffusion Theory is a revised edition of an earlier book by Academician Luikov, which was widely used throughout the Soviet Union and the surrounding socialist countries. This book is divided into 15 chapters that treat heat conduction problems by the classical methods and emphasize the advantages of the transform method, particularly in obtaining short time solutions of many transient problems. This book starts with a discussion on the physical fundamentals, generalized variables, and solution of boundary value problems of heat transfer. Considerable chapters are devoted to the basic classical heat transfer problems and problems in which the body surface temperature is a specified function of time. Other chapters explore the heat transfer problems under different heat sources, including continuous and pulse-type. The discussion then shifts to the problem of freezing wet ground, two-dimensional temperature field, and heat conduction with variable transfer coefficients. The final chapters deal with the fundamentals of the integral transforms and their application to heat conduction problems. These chapters also look into the application of the theory of analytic functions to the heat conduction theory of mathematical physics. This book is an invaluable source for advanced undergraduate or graduate in analytical heat transfer.


The Analytical Theory of Heat

The Analytical Theory of Heat
Author: Jean Baptiste Joseph Fourier
Publisher:
Total Pages: 492
Release: 2019-09-21
Genre:
ISBN: 9781694635273

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First published in 1878, The Analytical Theory of Heat is Alexander Freeman's English translation of French mathematician Joseph Fourier's Th�orie 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.


The Analytical Theory of Heat

The Analytical Theory of Heat
Author:
Publisher:
Total Pages:
Release: 2010
Genre:
ISBN:

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