aThe volume is dedicated to Stephen Smale on the occasion of his 80th birthday.Besides his startling 1960 result of the proof of the Poincar Ie conjecture for all dimensionsgreater than or equal to five, Smaleas ground breaking contributions invarious fields in Mathematics have marked the second part of the 20th century andbeyond. Stephen Smale has done pioneering work in differential topology, globalanalysis, dynamical systems, nonlinear functional analysis, numerical analysis, theoryof computation and machine learning as well as applications in the physical andbiological sciences and economics. In sum, Stephen Smale has manifestly brokenthe barriers among the different fields of mathematics and dispelled some remainingprejudices. He is indeed a universal mathematician. Smale has been honoredwith several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966), the National Medal of Science (1996) and theWolfPrize (2006/2007).69, 352a356 (1963) M. Hirsch, Differential Topology (Springer, New York, 1976) M.A. Kervaire, J.W. Milnor, Groups of homotopy spheres: I. Ann. Math.77(3), 504a 537 (1963) R.C. Kirby, L.C. Siebenman, On the triangulation of manifolds andanbsp;...

Title | : | Essays in Mathematics and its Applications |

Author | : | Panos M. Pardalos, Themistocles M. Rassias |

Publisher | : | Springer Science & Business Media - 2012-08-07 |

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