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

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

Author

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  • Thomas F. Banchoff

    (Brown University, Department of Mathematics)

Abstract

The theme New Directions in Applied and Computational Mathematics gives all of us who think of ourselves as “pure mathematicians” the chance to reexamine the changes that have taken place in our understanding of that term as a result of the new directions which have appeared in our lifetimes. I have always thought of myself as a geometer, as soon as I realized that it was possible to think of different subspecies of mathematician, and I can make the case today that there will be major differences in the way we do geometry and the way we present our insights to our students and colleagues because of the dramatic developments in visualization capabilities in the form of interactive computer graphics. One effect of these developments is that I find myself revising my concept of the differences between pure and applied mathematics. A virture of a symposium such as this, honoring a wide-ranging mathematician like Gail Young, is that we speakers are encouraged to be introspective about these changes in our careers, and of course that encourages in turn a certain anecdotal style.

Suggested Citation

  • Thomas F. Banchoff, 1986. "Computer Graphics Applications in Geometry: “Because the Light is Better Over Here”," Springer Books, in: Richard E. Ewing & Kenneth I. Gross & Clyde F. Martin (ed.), The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics, pages 1-14, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-4984-9_1
    DOI: 10.1007/978-1-4612-4984-9_1
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