He studied at the École Normale Supérieure. After the Dreyfus affair, which involved him personally, he became politically active and became a staunch supporter of Jewish causes.
In his book Psychology of Invention in the Mathematical Field, Hadamard uses introspection to describe mathematical thought processes. In sharp opposition to authors who identify language and cognition, he describes his own mathematical thinking as largely wordless, often accompanied by mental images that condense the overall idea of a proof.
One of his students was André Weil.
Writings of Jacques Hadamard
Hadamard, Jacques, "Psychology of Invention in the Mathematical Field". Dover Pubns; November 1990. ISBN 0486201074
External link, resources, and references
Biography of Hadamard from the MacTutor History of Mathematics archive (http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Hadamard.html)
Further reading
Life and Work of Jacques Hadamard, Vladimir Maz'ya & T. O. Shaposhnikova, American Mathematical Society, February 1998, hardcover, 574 pages, ISBN 0821808419
Jacques Solomon Hadamard (December 8, 1865 - October 17, 1963) was a French mathematician best known for his proof of the prime number theorem.
He also gave his name to the Hadamard inequality on volumes, and the Hadamard matrix, on which the Hadamard transform is based.
In sharp opposition to authors who identify language and cognition, he describes his own mathematical thinking as largely wordless, often accompanied by mental images that condense the overall idea of a proof.
Jacques Solomon Hadamard (8 december 1865 – 17 oktober 1963) was een Frans wiskundige.
Daarnaast gaf hij zijn naam aan de Hadamard ongelijkheid over volumes, en de Hadamard matrix, waarop de Hadamard transformatie gebaseerd is, en die onder andere wordt toegepast in de coderingstheorie.
In zijn boek Psychology of Invention in the Mathematical Field, gebruikt Hadamard introspectie om het wiskundige denkproces te beschrijven.
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