Titlebook: Mathematics Today Twelve Informal Essays; Lynn Arthur Steen Book 1978 Conference Board of the Mathematical Sciences 1978 Applied Mathemati

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Mathematics — Our Invisible Culturesuit. Never mind that a multitude of mathematicians seems a contradiction in terms. The universities are simply teeming with them. The latest figures compiled by the National Science Foundation show that there are as many mathematicians in the United States as there are physicists or economists. Mat

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Number Theory other. But whereas the classical “circle and triangle” geometry of Euclid is essentially dead as a research science, number theory still contains a large body of unsolved problems. Indeed, some of its most intriguing problems go back to Euclid’s time.

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Groups and Symmetryjects. Very surprisingly, the examination of these symmetries leads to deep insights which are not available by direct inspection: while the notion of a group is very easy to explain, the applications of this concept do not at all lie on the surface. In mathematics the concept of a group is fundamen

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The Four-Color Probleming a common border receive different colors. This result was of interest to the mathematical community since many mathematicians had tried in vain for over a hundred years to prove this simple-sounding statement. Yet among mathematicians who were not aware of the developments leading to the proof,

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Statistical Analysis of Experimental Dataased its action on statistical analysis of an experiment which involved feeding different levels of Red 2 to five different groups of rats: the number of malignant tumors discovered was significantly higher in rats fed high levels of Red 2 than in those fed lower levels.

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Mathematical Aspects of Population Biology sewage can be treated by a bacterial population in a day? These are typical questions from population biology, and the examples presented here show how these questions and others can be studied by mathematical methods. Population biology is primarily concerned with counting, estimating, and predict