math 4400, history of...
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MATH 4400, History of MathematicsLecture 14: The turn of the 19th to 20th century
Professor: Peter Gibson
http://people.math.yorku.ca/pcgibson/math4400
February 14, 2017
Dramatis Personae
Henri Poincare (1854-1912)
Professor at the Sorbonne
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David Hilbert (1862-1943)
Professor at Gottingen
P. Gibson (YorkU) Math 4400 3 / 19
Hermann Minkowskii
(1864-1909)
Professor at ETH Zurich
P. Gibson (YorkU) Math 4400 4 / 19
Jacques Hadamard
(1865-1963)
Professor at College de France
P. Gibson (YorkU) Math 4400 5 / 19
Charles Jean de la Valle-Poussin
(1866-1962)
Professor at
Catholic University of Leuven
P. Gibson (YorkU) Math 4400 6 / 19
Tullio Levi-Civita (1873-1941)
Professor at University of Rome
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Albert Einstein (1879-1955)
Professor at
Institute for Advanced Study,Princeton
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Hermann Weyl (1885-1955)
Professor at
Institute for Advanced Study,Princeton
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Minkowski
1872 (aged 8) moved to Konigsberg from Russian kingdom
1883 prize of the French Academy of Sciences
friendship with David Hilbert, Adoph Hurwitz
1885 doctorate under Ferdinand von Lindemann
appointments at Bonn, Konigsberg, Zurich, Gottingen
geometry of numbers
Minkowski space time
P. Gibson (YorkU) Math 4400 10 / 19
Hadamard
List of things named after Jacques HadamardFrom Wikipedia, the free encyclopedia
These are things named after Jacques Hadamard (1865–1963), a French mathematician. (For references,see the respective articles.)
Cartan–Hadamard theoremCauchy–Hadamard theoremHadamard product:
entry-wise matrix multiplicationan infinite product expansion for the Riemann zeta function
Hadamard codeHadamard's dynamical systemHadamard's inequalityHadamard's method of descentHadamard finite part integralHadamard's lemmaHadamard manifoldHadamard matrixHadamard's maximal determinant problemHadamard spaceHadamard three-circle theoremHadamard Transform and Hadamard gateHadamard–Rybczynski equationOstrowski–Hadamard gap theorem
Retrieved from "https://en.wikipedia.org/w/index.php?title=List_of_things_named_after_Jacques_Hadamard&oldid=679491174"
Categories: Lists of things named after mathematicians
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List of things named after Jacques Hadamard - Wikipedia https://en.wikipedia.org/wiki/List_of_things_named_after_Jacques...
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P. Gibson (YorkU) Math 4400 11 / 19
Poincare
Born in 1854 in Nancy, to a prominent family
Top prizes in the concours general
Graduated from the Ecole Polytechnique, then the Ecole des Minesand worked as a mining engineer
1879 doctorate in mathematics from University of Paris under CharlesHermite
1881 Professor at the Sorbonne (University of Paris)
worked in many different areas, including on the three body problem
pioneering work in geometry and topology
carried out early work on relativity
was active in philosophy, and wrote several widely-read popular works
P. Gibson (YorkU) Math 4400 12 / 19
Hilbert
1885 doctorate under Ferdinand von Lindemann
1886-1895 lecturer at Konigsberg
1895 professor at Gottingen
1900 Paris address
1910 Bolyai prize
pre-eminent mathematician of his day
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One sometimes reads of rivalry and dispute between Hilbert and Poincare,the leading mathematicians of 1900.This tends to be overstated.Hilbert contributed to many fields, including mathematical physics—hisideas on the foundations of mathematics are sometimes emphasized at theexpense of his many other fundamental contributions.Poincare’s rejection of Cantor’s ideas have not been born out by history.
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The Institute for Advanced Study in Princeton, New Jersey(established 1930)
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“spaghetti and Levi-civita”
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According to Einstein, the theory of relativity relies on the work of:
Bernhard Riemann (1826-1866)
Hermann Minkowski
Tullio Levi-civita
Hermann Weyl
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To a certain extent, Hermann Weyl brought Hilbert’s legacy and traditionto the US.
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