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.
Aliases (2)
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
→
harmonic analysis → heat conduction → mathematical physics → partial differential equations → |
| timePeriodDescribed |
steady-state heat conduction
→
transient heat conduction → |
Referenced by (7)
| Subject (surface form when different) | Predicate |
|---|---|
|
Jean-Baptiste Joseph Fourier
→
Jean-Baptiste Joseph Fourier → Jean-Baptiste Joseph Fourier → Joseph Fourier → |
notableWork |
|
Maxwell's demon thought experiment
("Theory of Heat")
→
|
describedIn |
|
Fourier's law of heat conduction
→
|
introducedInWork |
|
Théorie analytique de la chaleur
("Théorie de la propagation de la chaleur dans les solides")
→
|
relatedWork |