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modern mathematics - PowerPoint Presentation

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Uploaded On 2017-08-18

modern mathematics - PPT Presentation

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

theory mathematics prize game mathematics theory game prize hilbert 1928 theorem problems born century colour 1900 appel behavior science david awarded nobel

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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