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The objective of the present book of essays is to convey to the intelligent nonmathematician something of the nature, development, and use of mathe­ matical concepts, particularly those that have found application in current scientific research. The idea of assembling such a volume goes back at least to 1974, when it was discussed by the then-newly-formed Joint Projects Committee for Mathematics (JPCM) of the American Mathematical Soci­ ety, t...

Mathematics today is approaching a state of cnSIS. As the demands of science and society for mathematical literacy increase, the percentage of American college students intending to major in mathematics plummets and achievement scores of entering college students continue thelt unremit­ ting decline. As research in core mathematics reaches unprecedented heights of power and sophistication, the growth of diverse applied special­ ties threatens ...