CS722 / Math 726 Syllabus
(Last updated 2/4/00)

Feb. 4.
R. Courant, K. Friedrichs and H. Lewy,
“On the partial differential equations of mathematical physics,”
Mathematische Annalen, 100 (1928) 3274. English translation in
IBM Journal of Research and Development, 11 (1967) 215234.

Feb. 11.
R. E. Kalman,
“A new approach to linear filtering and prediction problems,”
Transactions of the ASME Journal of Basic Engineering,
82 (1960) 3545.

Feb. 18.
C. E. Shannon,
“A mathematical theory of communication,”
Bell System Technical Journal,
27 (1948) 379425.

Feb. 25.
H. W. Kuhn and A. W. Tucker,
“Nonlinear programming,”
in Proceedings of the 2nd Berkeley Symposium on Mathematical Statistics
and Probability, J. Neyman (ed.), University of California Press, 1950.

Mar. 3.
John Nash,
“Noncooperative games,”
Annals of Mathematics,
54 (1951) 286295.

Mar. 10.
A. N. Kolmogorov,
“On the preservation of conditionally periodic motions
under small variations of the Hamilton function,”
Dokl. Akad. Nauk SSSR, 98 (1954) 527530. English translation in
Selected Works of A. N. Kolmogorov, Volume I, Mathematics and
Mechanics, V. M. Tikhomirov (ed.), Kluwer Academic Publishers, 1991.

Mar. 17.
L. R. Ford and D. R. Fulkerson,
“Maximal flow through a network,”
Canadian Journal of Mathematics,
8 (1956) 399404.

Mar. 31.
I. S. Reed and G. Solomon,
“Polynomial codes over certain finite fields,”
Journal of the Society for Industrial and Applied Mathematics,
8 (1960) 300304.

Apr. 7.
John von Neumann,
“First draft of a report on the Edvac,”
written in 1945,
first published in N. Stern, From ENIAC to UNIVAC: appraisal of the
EckertMaunchly computers, Digital Press, 1981.

Apr. 14.
Edward N. Lorenz,
“Deterministic nonperiodic flow,”
Journal of the Atmospheric Sciences,
20 (1963) 130141.

Apr. 21.
James W. Cooley and John W. Tukey,
“An algorithm for the machine calculation of complex Fourier
Series”,
Mathematics of Computation, 19 (1965) 297301.

Apr. 28.
Richard M. Karp,
“Reducibility among combinatorial problems,”
pp. 85103 in Complexity of Computer Computations,
R. E. Miller and J. W. Thatcher (eds.), Plenum Press, 1972.

May 5.
Clifford S. Gardner, John M. Greene, Martin D. Kruskal and Robert M. Miura,
“KortewegdeVries equation and generalizations. VI. Methods for
exact solution,”
Communications in Pure and Applied Mathematics,
27 (1974) 97133.