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Inventing Tomorrow

Exploring the mathematics of the living world

Life may look different from mathematics—but that's because we have the wrong idea about mathematics. Most people have some sort of mental image of what biologists, or physicists, or astronomers—or indeed bank managers—do. They study living creatures; they carry out huge, expensive experiments on the fundamental constituents of matter; they look through telescopes at the stars and planets; or they lend money to people.

I'm not worried here about the extent to which such images are correct—they capture some of the essential spirit of those enterprises, even though they are actually rather wide of the mark when it comes to details.

What concerns me is that when we think of mathematics, the only mental image that most of us have is what we did at school, and we tend to assume that this is all the mathematics that exists.

Not so. Mathematics is not a long-dead subject preserved in dusty tomes, in which all the questions have been solved and all the answers are listed at the back of the book. It is a vibrant, lively, ever-growing subject. Indeed, more new mathematics is being created today than ever before.

Furthermore, this new mathematics is not just ever-more-complicated answers to bigger and bigger sums. It lies on a far higher conceptual level. Mathematics is the study of patterns, regularities, rules, and their consequences—the science of significant form—and nowhere is form more significant than in biology.

This view of mathematics may sound rather abstruse, but it actually makes the mathematics of life more interesting and easier to understand than the prosaic techniques taught at school. A fair analogy is the difference between practicing scales on a musical instrument (school mathematics) and composing (creative mathematics). The mathematics that may one day provide an understanding of life in all of its richness and depth will be the creative kind, not the prosaic.

From The New Mathematics of the Living World, by Professor Ian Stewart, a visiting scholar at the Institute for Mathematics and Its Applications.

The IMA is devoting its 1998-99 program to mathematics in biology, featuring a series of workshops that will highlight some of the mathematical challenges emerging from the consideration of biological issues and will demonstrate how mathematics can be applied to their resolution. The program will focus on particularly rich areas of investigation that complement activities carried out at the IMA in previous years, including magnetic resonance imaging, molecular biology and neurobiology. The fall quarter component will focus on “Theoretical Problems in Developmental Biology and Immunology,” with “Mathematical Problems in Physiology” and “Dynamic Models of Ecosystems and Epidemics” following in winter and spring.

For more information call 612-624-6066 or see www.ima.umn.edu.