MATH 5400, History of MathematicsLecture 10: 1900
Professor: Peter Gibson
http://people.math.yorku.ca/pcgibson/math5400
February 16, 2017
In 1896 two mathematicians, working independently, proved the primenumber theorem. This relied on recent developments in the theory offunctions of a complex variable, in particular on results due to Weierstrass.
P. Gibson (YorkU) Math 5400 2 / 20
Jacques Hadamard
(1865-1963)
Professor at College de France
P. Gibson (YorkU) Math 5400 3 / 20
Charles Jean de la Valle-Poussin
(1866-1962)
Professor at
Catholic University of Leuven
P. Gibson (YorkU) Math 5400 4 / 20
The end of the 19th century also saw developments in differentialgeometry, building on, refining and expanding the ideas of Riemann.Just as Maxwell’s results rested on the notions and results in vectorcalculus due to Gauss and others applied to electric and magnetic vectorfields, new developments in physics near the turn of the century madeessential use of recent ideas in geometry.
P. Gibson (YorkU) Math 5400 5 / 20
Tullio Levi-Civita (1873-1941)
Professor at University of Rome
P. Gibson (YorkU) Math 5400 6 / 20
Hermann Minkowskii
(1864-1909)
Professor at ETH Zurich
P. Gibson (YorkU) Math 5400 7 / 20
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 5400 8 / 20
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
This page was last modified on 4 September 2015, at 21:37.Text is available under the Creative Commons Attribution-ShareAlike License; additional terms mayapply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia® is a registeredtrademark of the Wikimedia Foundation, Inc., a non-profit organization.
List of things named after Jacques Hadamard - Wikipedia https://en.wikipedia.org/wiki/List_of_things_named_after_Jacques...
1 of 1 17-02-14 4:47 PM
P. Gibson (YorkU) Math 5400 9 / 20
Henri Poincare (1854-1912)
Professor at the Sorbonne
P. Gibson (YorkU) Math 5400 10 / 20
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 5400 11 / 20
David Hilbert (1862-1943)
Professor at Gottingen
P. Gibson (YorkU) Math 5400 12 / 20
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
P. Gibson (YorkU) Math 5400 13 / 20
Hilbert and Poincare were the leading mathematicians of 1900.One sometimes reads of rivalry and dispute between them—this tends tobe 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.
P. Gibson (YorkU) Math 5400 14 / 20
The Institute for Advanced Study in Princeton, New Jersey(established 1930)
P. Gibson (YorkU) Math 5400 15 / 20
Albert Einstein (1879-1955)
Professor at
Institute for Advanced Study,Princeton
P. Gibson (YorkU) Math 5400 16 / 20
P. Gibson (YorkU) Math 5400 17 / 20
According to Einstein, the theory of relativity relies on the work of:
Bernhard Riemann (1826-1866)
Hermann Minkowski
Tullio Levi-civita
Hermann Weyl
P. Gibson (YorkU) Math 5400 18 / 20
Hermann Weyl (1885-1955)
Professor at
Institute for Advanced Study,Princeton
P. Gibson (YorkU) Math 5400 19 / 20
To a certain extent, Hermann Weyl brought Hilbert’s legacy and traditionto the US.
P. Gibson (YorkU) Math 5400 20 / 20
Top Related