The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics

1. Front Matter

   Pages i-xvi

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2. Computer Graphics Applications in Geometry: “Because the Light is Better Over Here”

   • Thomas F. Banchoff

   Pages 1-14

3. Modelling and Algorithmic Issues in Intelligent Control

   • Christopher J. Byrnes

   Pages 15-36

4. Global Observability of Ergodic Translations on Compact Groups

   • Lance Drager, Clyde Martin

   Pages 37-43

5. Mathematical Modeling and Large-Scale Computing in Energy and Environmental Research

   • Rihard E. Ewing

   Pages 45-59

6. Symbolic Manipulation

   • Harley Flanders

   Pages 61-78

7. Some Unifying Concepts in Applied Mathematics

   • Ismael Herrera

   Pages 79-88

8. Teaching and Research: The History of a Pseudoconflict

   • Peter Hilton

   Pages 89-99

9. Stochastic Population Theory: Mathematical Evolution of a Genetical Model

   • Kenneth J. Hochberg

   Pages 101-115

10. Combinatorics and Applied Mathematics

    • Daniel J. Kleitman

    Pages 117-125

11. Applied Logic

    • A. Nerode

    Pages 127-163

12. Pure and Applied Mathematics From an Industrial Perspective

    • H. O. Pollak

    Pages 165-174

13. Letter Values in Multivariate Exploratory Data Analysis

    • Donald P. St. Richards, Rameshwar D. Gupta

    Pages 175-183

14. Newton’s Method Estimates from Data at One Point

    • Steve Smale

    Pages 185-196

15. Error Bounds for Newton’s Method Under the Kantorovich Assumptions

    • Tetsuro Yamamoto

    Pages 197-208

16. Panel Discussion Implications for Undergraduate and Graduate Mathematics Education

    • Sol Garfunkel

    Pages 209-212

17. Back Matter

    Pages 213-214

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This volume is the Proceedings of the symposium held at the University of Wyoming in August, 1985, to honor Gail Young on his seventieth birthday (which actually took place on October 3, 1985) and on the occasion of his retirement. Nothing can seem more natural to a mathematician in this country than to honor Gail Young. Gail embodies all the qualities that a mathematician should possess. He is an active and effective research mathematician, having written over sixty pa­ pers in topology, n-dimensional analysis, complex variables, and "miscellanea." He is an outstanding expositor, as his fine book Topology, written with J. G. Hocking (Addison Wesley, 1961), amply demonstrates. He has a superlative record in public office of outstanding, unstinting service to the mathematical community and to the cause of education. But what makes Gail unique and special is that throughout all aspects of his distinguished career, he has emphasized human values in everything he has done. In touching the lives of so many of us, he has advanced the entire profession. Deservedly, he has innumerable friends in the mathematical community, the academic community, and beyond.

• Applied Mathematics
• Topology
• calculus
• computational mathematics
• geometry
• mathematical modeling
• mathematics
• variable

• Department of Mathematics, University of Wyoming, Laramie, USA

  Richard E. Ewing, Kenneth I. Gross

• Department of Mathematics, Texas Tech University, Lubbock, USA

  Clyde F. Martin

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