Jacques Hadamard (nonfiction): Difference between revisions
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[[File:Jacques_Hadamard.jpg|thumb|Jacques Hadamard.]]'''Jacques Salomon Hadamard''' ForMemRS (8 December 1865 – 17 October 1963) was a French [[Mathematician (nonfiction)|mathematician]] who made major contributions in [[Number theory (nonfiction)|number theory]], complex function theory, differential geometry and partial differential equations. | [[File:Jacques_Hadamard.jpg|thumb|Jacques Hadamard.]]'''Jacques Salomon Hadamard''' ForMemRS (8 December 1865 – 17 October 1963) was a French [[Mathematician (nonfiction)|mathematician]] who made major contributions in [[Number theory (nonfiction)|number theory]], [[Complex analysis (nonfiction)|complex function theory]], [[Differential geometry (nonfiction)|differential geometry]] and [[Partial differential equation (nonfiction)|partial differential equations]]. | ||
In his book ''Psychology of Invention in the Mathematical Field'', Hadamard uses introspection to describe mathematical thought processes. In sharp contrast to authors who identify language and cognition, he describes his own mathematical thinking as largely wordless, often accompanied by mental images that represent the entire solution to a problem. He surveyed 100 of the leading physicists of the day (approximately 1900), asking them how they did their work. | In his book ''Psychology of Invention in the Mathematical Field'', Hadamard uses introspection to describe mathematical thought processes. In sharp contrast to authors who identify language and cognition, he describes his own mathematical thinking as largely wordless, often accompanied by mental images that represent the entire solution to a problem. He surveyed 100 of the leading physicists of the day (approximately 1900), asking them how they did their work. | ||
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Hadamard described the process as having four steps of the five-step Graham Wallas creative process model, with the first three also having been put forth by [[Hermann von Helmholtz (nonfiction)|Helmholtz]]: Preparation, Incubation, Illumination, and Verification. | Hadamard described the process as having four steps of the five-step Graham Wallas creative process model, with the first three also having been put forth by [[Hermann von Helmholtz (nonfiction)|Helmholtz]]: Preparation, Incubation, Illumination, and Verification. | ||
The ideas in Hadamard's 1898 paper on the geodesics on surfaces of negative curvature will later been seen as an early development in [[Symbolic dynamics (nonfiction)|symbolic dynamics]]. | |||
== In the News == | == In the News == | ||
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== Fiction cross-reference == | == Fiction cross-reference == | ||
* [[Crimes against mathematical constants]] | |||
* [[Gnomon algorithm]] | |||
* [[Gnomon Chronicles]] | |||
* [[Mathematician]] | |||
* [[Mathematics]] | * [[Mathematics]] | ||
== Nonfiction cross-reference == | == Nonfiction cross-reference == | ||
* [[Complex analysis (nonfiction)]] | |||
* [[Differential geometry (nonfiction)]] | |||
* [[Maurice René Fréchet (nonfiction)]] - Doctoral student | * [[Maurice René Fréchet (nonfiction)]] - Doctoral student | ||
* [[Carl Friedrich Gauss (nonfiction)]] | * [[Carl Friedrich Gauss (nonfiction)]] | ||
| Line 25: | Line 33: | ||
* [[Mathematics (nonfiction)]] | * [[Mathematics (nonfiction)]] | ||
* [[Number theory (nonfiction)]] | * [[Number theory (nonfiction)]] | ||
* [[ | * [[Partial differential equation (nonfiction)]] | ||
* [[Émile Picard (nonfiction)]] - Doctoral advisor | |||
* [[Henri Poincaré (nonfiction)]] | * [[Henri Poincaré (nonfiction)]] | ||
* [[Symbolic dynamics (nonfiction)]] | |||
* [[Jules Tannery (nonfiction)]] - Doctoral advisor | * [[Jules Tannery (nonfiction)]] - Doctoral advisor | ||
* [[Hermann von Helmholtz (nonfiction)]] | * [[Hermann von Helmholtz (nonfiction)]] | ||
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[[Category:Nonfiction (nonfiction)]] | [[Category:Nonfiction (nonfiction)]] | ||
[[Category:Differential geometers (nonfiction)]] | |||
[[Category:Mathematicians (nonfiction)]] | [[Category:Mathematicians (nonfiction)]] | ||
[[Category:Number | [[Category:Number theorists (nonfiction)]] | ||
[[Category:PDE theorists (nonfiction)]] | |||
[[Category:People (nonfiction)]] | [[Category:People (nonfiction)]] | ||
Latest revision as of 05:32, 4 February 2020
Jacques Salomon Hadamard ForMemRS (8 December 1865 – 17 October 1963) was a French mathematician who made major contributions in number theory, complex function theory, differential geometry and partial differential equations.
In his book Psychology of Invention in the Mathematical Field, Hadamard uses introspection to describe mathematical thought processes. In sharp contrast to authors who identify language and cognition, he describes his own mathematical thinking as largely wordless, often accompanied by mental images that represent the entire solution to a problem. He surveyed 100 of the leading physicists of the day (approximately 1900), asking them how they did their work.
Hadamard described the experiences of the mathematicians/theoretical physicists Carl Friedrich Gauss, Hermann von Helmholtz, Henri Poincaré and others as viewing entire solutions with "sudden spontaneousness".
Hadamard described the process as having four steps of the five-step Graham Wallas creative process model, with the first three also having been put forth by Helmholtz: Preparation, Incubation, Illumination, and Verification.
The ideas in Hadamard's 1898 paper on the geodesics on surfaces of negative curvature will later been seen as an early development in symbolic dynamics.
In the News
Fiction cross-reference
Nonfiction cross-reference
- Complex analysis (nonfiction)
- Differential geometry (nonfiction)
- Maurice René Fréchet (nonfiction) - Doctoral student
- Carl Friedrich Gauss (nonfiction)
- Marc Krasner (nonfiction) - Doctoral student
- Paul Lévy (nonfiction) - Doctoral student
- Szolem Mandelbrojt (nonfiction) - Doctoral student
- Mathematics (nonfiction)
- Number theory (nonfiction)
- Partial differential equation (nonfiction)
- Émile Picard (nonfiction) - Doctoral advisor
- Henri Poincaré (nonfiction)
- Symbolic dynamics (nonfiction)
- Jules Tannery (nonfiction) - Doctoral advisor
- Hermann von Helmholtz (nonfiction)
- André Weil (nonfiction) - Doctoral student
External links:
- Jacques Hadamard @ Wikipedia