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MATH 4400, History of Mathematics Lecture 14: The turn of the 19th to 20th century Professor: Peter Gibson [email protected] http://people.math.yorku.ca/pcgibson/math4400 February 14, 2017

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Page 1: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

MATH 4400, History of MathematicsLecture 14: The turn of the 19th to 20th century

Professor: Peter Gibson

[email protected]

http://people.math.yorku.ca/pcgibson/math4400

February 14, 2017

Page 2: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

Dramatis Personae

Henri Poincare (1854-1912)

Professor at the Sorbonne

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Page 3: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

David Hilbert (1862-1943)

Professor at Gottingen

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Page 4: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

Hermann Minkowskii

(1864-1909)

Professor at ETH Zurich

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Page 5: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

Jacques Hadamard

(1865-1963)

Professor at College de France

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Page 6: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

Charles Jean de la Valle-Poussin

(1866-1962)

Professor at

Catholic University of Leuven

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Page 7: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

Tullio Levi-Civita (1873-1941)

Professor at University of Rome

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Page 8: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

Albert Einstein (1879-1955)

Professor at

Institute for Advanced Study,Princeton

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Page 9: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

Hermann Weyl (1885-1955)

Professor at

Institute for Advanced Study,Princeton

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Page 10: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

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

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Page 11: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

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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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

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Page 13: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

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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Page 14: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

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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Page 15: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

The Institute for Advanced Study in Princeton, New Jersey(established 1930)

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Page 16: MATH 4400, History of Mathematicspeople.math.yorku.ca/pcgibson/math4400/math4400files/Lecture14.pdf · MATH 4400, History of Mathematics ... List of things named after Jacques Hadamard

“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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