Théorie analytique de la chaleur

E4276

Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.

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Generate an image of Théorie analytique de la chaleur (Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.)

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Statements (46)

Predicate Object
instanceOf book ⓘ
mathematical treatise ⓘ
author Joseph Fourier ⓘ
centuryOfPublication 19th century ⓘ
contributionTo development of Fourier analysis ⓘ
development of mathematical theory of heat conduction ⓘ
foundation of modern harmonic analysis ⓘ
countryOfOrigin France ⓘ
field analysis ⓘ
mathematics ⓘ
physics ⓘ
thermodynamics ⓘ
firstEditionPlaceOfPublication Paris ⓘ
focusesOn diffusion processes ⓘ
heat equation ⓘ
hasAuthorFullName Jean-Baptiste Joseph Fourier ⓘ
hasKeyIdea representation of arbitrary functions by trigonometric series under suitable conditions ⓘ
superposition principle for solutions of the heat equation ⓘ
use of eigenfunctions of the Laplacian to solve heat problems ⓘ
historicalSignificance milestone in rigor and methods of mathematical physics ⓘ
one of the earliest systematic treatments of PDEs in physics ⓘ
influenced development of spectral theory ⓘ
later work in signal analysis ⓘ
mathematical treatment of boundary value problems ⓘ
theory of partial differential equations ⓘ
influencedBy experimental studies of heat conduction ⓘ
introducedConcept Fourier series representation of temperature distributions ⓘ
separation of variables method for the heat equation ⓘ
systematic use of trigonometric series to represent functions ⓘ
use of boundary conditions in solving PDEs ⓘ
mathematicalToolUsed differential equations ⓘ
integral calculus ⓘ
trigonometric series ⓘ
originalLanguage French ⓘ
publicationYear 1822 ⓘ
publisher Firmin Didot ⓘ
relatedWork Fourier analysis ⓘ
Théorie de la propagation de la chaleur dans les solides ⓘ
heat equation ⓘ
subject Fourier series ⓘ
linked to: Fourier analysis

harmonic analysis ⓘ
heat conduction ⓘ
mathematical physics ⓘ
partial differential equations ⓘ
timePeriodDescribed steady-state heat conduction ⓘ
transient heat conduction ⓘ

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Referenced by (9)

Full triples — surface form annotated when it differs from this entity's canonical label.

Jean-Baptiste Joseph Fourier → notableWork → Théorie analytique de la chaleur ⓘ
Théorie analytique de la chaleur → relatedWork → Théorie de la propagation de la chaleur dans les solides ⓘ
linked to: Théorie analytique de la chaleur
Jean-Baptiste Joseph Fourier → notableWork → Théorie analytique de la chaleur ⓘ
subject linked to: Jean-Baptiste
Maxwell's demon thought experiment → describedIn → Theory of Heat ⓘ
linked to: Théorie analytique de la chaleur
Jean-Baptiste Joseph Fourier → notableWork → Théorie analytique de la chaleur ⓘ
subject linked to: Fourier
Fourier's law of heat conduction → introducedInWork → Théorie analytique de la chaleur ⓘ
Joseph Fourier → notableWork → Théorie analytique de la chaleur ⓘ
subject linked to: Joseph
Siméon Denis Poisson → notableWork → Théorie mathématique de la chaleur ⓘ
linked to: Théorie analytique de la chaleur
Fourier series → introducedInWork → Théorie analytique de la chaleur ⓘ