mathematics in the 20th and 21st century introduction in 20th century mathematics became a major profession hundreds of specialized areas development of computers enabled mathematics to expand ID: 580034
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Slide1
modern mathematics
mathematics in the 20th and 21st centurySlide2
introduction
in 20th century, mathematics became a
major profession
hundreds of specialized areas development of computers enabled mathematics to expandmathematics progressed more than ever Slide3
Hilbert and 23 problems
David Hilbert
(1862-1943) – German mathematician
“The Problems of Mathematics” – introduced in 1900 interest in physics
worked on general relativitySlide4
Who among us would not be happy to lift the veil behind which is hidden the future; to gaze at the coming developments of our science and at the secrets of its development in the centuries to come? What will be the ends toward which the spirit of future generations of mathematicians will tend? What methods, what new facts will the new century reveal in the vast and rich field of mathematical thought
?
David Hilbert, 1900, ParisSlide5
four colour theorem
problem proposed in 1852 by
Francis GuthrieSlide6
Haken and Appel
proved the four colour theorem in 1976
Wolfgang Haken
–born in 1928, BerlinKenneth Ira Appel – born in 1932, New YorkSlide7
game theory and two John’s
John von Neumann
(1903-1957) – American mathematician
interests: set theory, game theory, computer science, hydrodynamics of explosionsminimax theorem in 1928member of Manhattan projectSlide8
John Forbes Nash, Jr.
– born in 1928, West Virginia
interest: game theory, differential geometry, partial equationsSlide9
games:
Hex
in 1947 and
So Long Sucker in 1950“Nash equilibrium”
Nobel Prize in
Economics
in
1994
A Beautiful Mind
– Oscar winning movieSlide10
game theory
attempts to mathematicly capture behavior in strategic situations
Theory of Games and Economic
Behavior
in 1944Slide11
awards in mathematics
why is there no
Nobel Prize in Mathematics?
Millenium Prize Problems
- presented in 2000
Fields Medal
- awarded since 1936
Abel Prize
– first awarded in 2003