Computer Science And Graduate Education In Applied Mathematics

ABSTRACT

The term “applied mathematics” in the title and throughout this discussion includes all areas of the mathematical sciences rather than just classical applied mathematics. The comments in this paper are derived from two primary sources: an ad hoc committee formed at Clemson to investigate the interface between the mathematical sciences and computer science and ideas developed in the implementation of Clemson's NSF grant “An Alternative in Higher Education in the Mathematical Sciences.” The ideas gleaned from the grant activity were developed through actual experience and through comments from many of the departmental visitors supported by the grant, especially those sixty or so conferees from industry, government, and academia who participated in the grant-sponsored conference, “Graduate Programs in the Applied Mathematical Sciences: Perspectives and Prospects”[24].

REFERENCES

• 1: D.F. Andrews, P.J. Bickel, F.R. Hampel, P.J. Huber, W.H. Rogers and J.W. Tukey. Robust Estimates of Location: Survey and Advances, Princeton, New Jersey, Princeton University Press. (1972).
• 2: J.R. Beniger, and D.L. Robyn. "Quantitative graphics in statistics: A brief history," The American Statistician, 32, (1978) 1-11.
• 3: S.L. Benz. "Temperature effects on zooplankton population levels in Lake Keowee," Clemson University Department of Mathematical Sciences internal document, (1976).
• 4: D. Bingham, J. Park, J. Reneke and A. Weinstein. "Mechanical properties of ligaments," Chapter 21 of Orthopaedic Bioengineering (J. Lawrence Katy, editor), Marcel-Dekker, (to appear).
• 5: G. Birkhoff. "Mathematics and computer science." American Scientist, (1975), 83-91.
• 6: G. Birkhoff and M. Hall, Jr. "Computers in algebra and number theory," SIAM-AMS Proceedings, V. 4 (1970), 1-47.
• 7: R.C. Bose and T.S. Dowling. Combinatorial Mathematics and Its Applications, University of North Carolina Press, 1969.
• 8: George Edward Pelham Box , Gwilym Jenkins, Time Series Analysis, Forecasting and Control, Holden-Day, Incorporated, 1990
• 9: John J. Cannon, Computers in group theory: a survey, Communications of the ACM, v.12 n.1, p.3-12, Jan. 1969 [doi>10.1145/362835.362837]
• 10: R.F. Churchhouse and J.C. Herz. Computers in Mathematical Research, North-Holland, Amsterdam, 1968.
• 11: P.J. Clark. "A nonlinear estimation parameter problem in the study of salt marsh productivity." Clemson University Department of Mathematical Sciences internal document, (1978).
• 12: R.E. Fennell and J. Reneke. "A dynamic model for the study of mineral cycling in an aquatic ecosystem," Clemson University Department of Mathematical Sciences internal manuscript, (1977).
• 13: F. Glover and D. Klingman. "Comments on a note by Hatch on network algorithms," Operations Research, 26 (1978) 371-374.
• 14: Robert E. Haymond, A programming theory for discrete simulation, Proceedings of the 10th conference on Winter simulation, p.243-250, December 04-06, 1978, Miami Beach, FL
• 15: D.L. Inglehardt. "The regenerative method for simulation analysis," Current Trends in Programming Methodology Vol. III: Software Engineering. K.M. Chandy and R.T. Yeh (eds.), Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1977.
• 16: D.E. Knuth. "Computer science and its relation to mathematics," The American Mathematical Monthly, 81 (1974), 323-342.
• 17: W. Kruskal. "Visions of maps and graphs," Proceedings of the International Symposium on Computer-Assisted Cartography, Auto-Carto II, 1975, 27-36.
• 18: J.P. LaSalle. "The influences of computing on mathematical research and education," Proceedings of the Symposium on Applied Mathematics, 20 (1974), AMS, Providence, Rhode Island.
• 19: John Leech. Computational Problems in Abstract Algebra, Pergamon Press, 1970.
• 20: Niel K. Madsen, The method of lines for the numerical solution of partial differential equations (abstract), ACM SIGNUM Newsletter, v.10 n.4, p.5-7, December 1975 [doi>10.1145/1053205.1053207]
• 21: M.F. Neuts. "The single server queue in discrete time-numerical analysis I," Naval Research Logistics Quarterly, 20, (1973) 297-304.
• 22: B. Parlett. "Progress in numerical analysis," SIAM Review, 20 (1978) 443-456.
• 23: Professional Opportunities in Mathematics, (Tenth Editions/Fall 1978), The Mathematical Association of America, Washington, D.C.
• 24: T.G. Proctor. "A report on the Clemson/N.S.F. conference Graduate Programs in the Applied Mathematical Sciences: Perspectives and Prospects," Clemson University Department of Mathematical Sciences Technical Report #274, February, 1978.
• 25: R.C. Read. Graph Theory and Computing, Academic Press. 1972.
• 26: John R. Rice, Algorithmic progress in solving partial differential equations, ACM SIGNUM Newsletter, v.11 n.4, p.6-10, December 1976 [doi>10.1145/1053379.1053381]
• 27: L.F. Shampine, H.A. Watts and S.M. Davenport. "Solving nonstiff ordinary differential equations - the state of the art," SIAM Review, 18 (1976), 376-411.
• 28: K.T. Smith, D.S. Solomon and S.L. Wagner. "Practical and mathematical aspects of the problem of reconstructing objects from radiographs," Bulletin, AMS, 83 (1977) 1227-1270.
• 29: Richard F. Stauduhar. "The determination of Galois groups," Mathematics of Computation, 27 (1973) 981-996.

INDEX TERMS

Primary Classification:
  K. Computing Milieux
  K.3 COMPUTERS AND EDUCATION
      K.3.2 Computer and Information Science Education
          Subjects: Computer science education

Additional Classification:
  J. Computer Applications
  J.2 PHYSICAL SCIENCES AND ENGINEERING
      Subjects: Mathematics and statistics

General Terms:
Theory