Download The collected papers of Stephen Smale by Stephen Smale, Felipe Cucker, Roderick S. C. Wong PDF

By Stephen Smale, Felipe Cucker, Roderick S. C. Wong

Stephen smale is without doubt one of the nice mathematicians of the twentieth century. His paintings includes a wide array of matters: differential topology, dynamical platforms, calculus of diversifications, idea of computation, mechanics and mathematical economic system. In these kinds of matters he has left the imprint of choice of basic effects. He has receive numerous differences, together with the Fields Medal, he Veblen Prize, the Chauvenet Prize, the von Neumann Award and the nationwide Medal of Science.

This worthwhile publication includes the accrued papers of Stephen Smale. those are divided into 8 teams: topology; calculus of diversifications; dynamics; mechanics; economics; biology, electrical circuits and mathematical programming; thought of computation; miscellaneous. furthermore, every one staff comprises one or articles through global leaders on its topic which touch upon the impact of Smale's paintings, and one other article by way of Smale together with his one retrospective perspectives.

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A recent example is his application of algebraic topology to complexity of computation. In each case his innovative approach quickly became a standard research method. His ideas have been further developed by his more than 30 doctoral students, many of whom are now leading researchers in the fields he has pioneered. This conference brought together mathematicians who are currently mak­ ing important contributions to these fields. It had two purposes: First, to present recent developments in these fields; and second, to explore the con­ nections between them.

Of course, the real evidence for the excellence of Steve's mathematical judgement is the number of mathematicians worldwide who now follow his taste. In fact, I have only known him to make one serious error of judgement, and that was his opinion of catastrophe theory. The third characteristic of Steve's work to which I would like to draw attention is his audacity and courage. These two qualities are complemen­ tary. His audacity is his desire to make a splash, to shock people, to get under their skins, and to make them confront themselves.

He mentioned names but indicated no hardfeelings toward anyone. " These words of Steve fit very well the overall impression that he left on me in that singular meeting at Rio's airport late June 1960 as the day was just breaking in: cold, measured ferocity of purpose. When I was told about the "Beaches of Rio" episode, with the implication 16 7. Some Recollections of the Early Work of Steve Smale 75 associated to it of a frolicsome trip South of the Rio Grande, I found it a funny counterpoint to what I had actually witnessed.

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