By Michael J Bradley
Tracing the advance of arithmetic from a biographical perspective, "Mathematics Frontiers: 1950 to the current" profiles innovators from the second one half the twentieth century who made major discoveries in either natural and utilized arithmetic. From John H. Conway, who helped whole the type of all finite teams (and invented "The online game of lifestyles" board game), to Stephen Hawking, who demonstrated the mathematical foundation for black holes, to Fan Chung, who constructed an encoding and interpreting set of rules for cellphone calls, this energetic survey of up to date minds in the back of the mathematics is perfect for center and highschool scholars looking assets for learn or normal curiosity.
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Extra resources for Mathematics Frontiers: 1950 to the Present (Pioneers in Mathematics)
A brief description of Nash’s life and his work in game theory. Nasar, Sylvia. A Beautiful Mind: The Life of Mathematical Genius and Nobel Laureate John Nash. New York: Simon and Schuster, 1998. Detailed biography that formed the basis of the motion picture. Nash, John. Essays on Game Theory. : Edward Elgar Publishing, 1997. A collection of seven of Nash’s papers on game theory. ———. The Essential John Nash. : Princeton University Press, 2001. A collection of nine of Nash’s papers on game theory and manifolds, plus his autobiographical sketch written for the Nobel Prize committee.
During the intervening years Conway produced numerous papers discussing specific groups, including his 1979 paper with Norton, “Monstrous Moonshine,” which appeared in the Bulletin of the London Mathematical Society. In this paper they analyzed the monster group that has more than 8 × 1053 elements and proposed the moonshine conjecture relating the monster group with the theory of elliptic functions, a conjecture whose solution earned English mathematician Richard Borcherds the 1998 Fields Medal.
Moore Instructor in the Department of Mathematics at the Massachusetts Institute of Technology (MIT) in Cambridge, where he became an assistant professor in 1953. Although his unorthodox methods of teaching and examining made him unpopular with the students, his broad-ranging research on real algebraic varieties, Riemannian geometry, parabolic and elliptic equations, and partial differential equations earned him the respect of his colleagues. As a graduate student at Princeton in 1949, Nash had made substantial progress on the solution of a problem from algebraic geometry, the branch of mathematics concerned with the study of the roots of polynomial equations.