International Congress of Arts And Science volume 2
International Congress of Arts And Science volume 2
International Congress of Arts And Science 1904
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PIERPONT OF YALE UNIVERSITY THE extraordinary development of mathematics in the last century is quite unparalleled in the long history of this most ancient of sciences. Not only have those branches of mathematics which were taken over from the eighteenth century steadily grown, but entirely new ones have sprung up in almost bewildering profusion, and many of these have promptly assumed proportions of vast extent. As it is obviously impossible to trace in the short time allotted to me the histor...y of mathematics in the nineteenth century even in merest outline, I shall restrict myself to the consideration of some of its leading theories. Theory of Functions of a Complex Variable Without doubt one of the most characteristic features of mathe- matics in the last century is the systematic and universal use of the complex variable. Most of its great theories received invaluable aid from it, and many owe their very existence to it. What would the theory of differential equations or elliptic functions be to-day without it, and is it probable that Poncelet, Steiner, Chasles, and von Staudt would have developed synthetic geometry with such elegance and perfection without its powerful stimulus?
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