CS722 / Math 726 Syllabus

(Last updated 2/4/00)

1. Feb. 4. R. Courant, K. Friedrichs and H. Lewy, “On the partial differential equations of mathematical physics,” Mathematische Annalen, 100 (1928) 32-74. English translation in IBM Journal of Research and Development, 11 (1967) 215-234.
2. Feb. 11. R. E. Kalman, “A new approach to linear filtering and prediction problems,” Transactions of the ASME Journal of Basic Engineering, 82 (1960) 35-45.
3. Feb. 18. C. E. Shannon, “A mathematical theory of communication,” Bell System Technical Journal, 27 (1948) 379-425.
4. 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.
5. Mar. 3. John Nash, “Non-cooperative games,” Annals of Mathematics, 54 (1951) 286-295.
6. 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) 527-530. English translation in Selected Works of A. N. Kolmogorov, Volume I, Mathematics and Mechanics, V. M. Tikhomirov (ed.), Kluwer Academic Publishers, 1991.
7. Mar. 17. L. R. Ford and D. R. Fulkerson, “Maximal flow through a network,” Canadian Journal of Mathematics, 8 (1956) 399-404.
8. 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) 300-304.
9. 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 Eckert-Maunchly computers, Digital Press, 1981.
10. Apr. 14. Edward N. Lorenz, “Deterministic nonperiodic flow,” Journal of the Atmospheric Sciences, 20 (1963) 130-141.
11. Apr. 21. James W. Cooley and John W. Tukey, “An algorithm for the machine calculation of complex Fourier Series”, Mathematics of Computation, 19 (1965) 297-301.
12. Apr. 28. Richard M. Karp, “Reducibility among combinatorial problems,” pp. 85-103 in Complexity of Computer Computations, R. E. Miller and J. W. Thatcher (eds.), Plenum Press, 1972.
13. May 5. Clifford S. Gardner, John M. Greene, Martin D. Kruskal and Robert M. Miura, “Korteweg-deVries equation and generalizations. VI. Methods for exact solution,” Communications in Pure and Applied Mathematics, 27 (1974) 97-133.