Title Essays in mathematics and its applications : in honor of Stephen Smale's 80th birthday / edited by Panos M. Pardalos, Themistocles M. Rassias

Published Berlin ; London : Springer, 2012

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Description 1 online resource Contents 880-01 Transitivity and Topological Mixing for C1C1 Diffeomorphisms / Flavio Abdenur and Sylvain Crovisier -- Recent Results on the Size of Critical Sets / Dorin Andrica and Cornel Pintea -- The Fox-Li Operator as a Test and a Spur for Wiener-Hopf Theory / Albrecht Böttcher, Sergei Grudsky and Arieh Iserles -- Kähler Metrics with Cone Singularities Along a Divisor / S.K. Donaldson -- The Space of Framed Functions is Contractible / Y.M. Eliashberg and N.M. Mishachev -- Quantum Gravity via Manifold Positivity / Michael H. Freedman -- Parabolic Explosions in Families of Complex Polynomials / Estela A. Gavosto and Małgorzata Stawiska -- Super Stable Kählerian Horseshoe? / M. Gromov -- A Smooth Multivariate Interpolation Algorithm / John Guckenheimer -- Bifurcations of Solutions of the 2-Dimensional Navier-Stokes System / Dong Li and Yakov G. Sinai -- Arnold Diffusion by Variational Methods / John N. Mather -- Turning Washington's Heuristics in Favor of Vandiver's Conjecture / Preda Mihăilescu -- Schwartzman Cycles and Ergodic Solenoids / Vicente Muñoz and Ricardo Pérez Marco -- An Additive Functional Equation in Orthogonality Spaces / Choonkil Park and Themistocles M. Rassias -- Exotic Heat PDE's. II / Agostino Prástaro -- Topology at a Scale in Metric Spaces / Nat Smale -- Riemann, Hurwitz and Hurwitz-Lerch Zeta Functions and Associated Series and Integrals / H.M. Srivastava -- Gyrations: The Missing Link Between Classical Mechanics with Its Underlying Euclidean Geometry and Relativistic Mechanics with Its Underlying Hyperbolic Geometry / Abraham Albert Ungar 880-01/(S 12 Stability of 2-Isometric Linear Mappings in Banach Modules Over a C*-Algebra Associated with the Orthogonally Additive Functional Equation (1): Direct Method -- References -- Exotic Heat PDE's. II -- 1 Introduction -- 2 Integral Bordism Groups in Ricci Flow PDE's -- 3 Morse Theory in Ricci Flow PDE's -- 4 h-Cobordism in Ricci Flow PDE's -- References -- Topology at a Scale in Metric Spaces -- 1 The Čech Complex of a Metric Space at a Fixed Scale -- 2 Cohomology and Hodge Theory -- 2.1 An Explicit Isomorphism -- 2.2 Further Results -- References -- Riemann, Hurwitz and Hurwitz-Lerch Zeta Functions and Associated Series and Integrals -- 1 Introduction, Definitions and Preliminaries -- 2 Series Representations for ζ(2n+1) (n Є N) -- 3 Other Families of Series Representations for ζ(2n+1) (n Є N) -- 4 Computationally Useful Deductions and Consequences -- 5 Numerical Verifications and Symbolic Computations Based Upon Mathematica -- 6 The Hurwitz-Lerch Zeta Function Φ(z, s, a): Extensions and Generalizations -- References -- Gyrations: The Missing Link Between Classical Mechanics with Its Underlying Euclidean Geometry and Relativistic Mechanics with Its Underlying Hyperbolic Geometry -- 1 Introduction -- 2 Einstein Velocity Addition and Scalar Multiplication -- 3 Linking Einstein Addition to Hyperbolic Geometry -- 4 Gyrotriangle, the Hyperbolic Triangle -- 5 The Gyrostructure of Einstein Addition -- 6 Gyrations -- 7 Gyrogroups -- 8 The Euclidean and Hyperbolic Lines -- 9 Thomas Precession -- 10 Thomas Precession Matrix -- 11 Thomas Precession Graphical Presentation -- 12 Thomas Precession Angle -- 13 Thomas Precession Frequency -- 14 Thomas Precession and Boost Composition -- 15 Thomas Precession Angle and Generating Angle Have Opposite Signs -- References Summary ​The volume is dedicated to Stephen Smale on the occasion of his 80th birthday. Besides his startling 1960 result of the proof of the Poincaré conjecture for all dimensions greater than or equal to five, Smale's ground breaking contributions invarious fields in Mathematics have marked the second part of the 20th century and beyond. Stephen Smale has done pioneering work in differential topology, global analysis, dynamical systems, nonlinear functional analysis, numerical analysis, theory of computation and machine learning as well as applications in the physical and biological sciences and economics. In sum, Stephen Smale has manifestly broken the barriers among the different fields of mathematics and dispelled some remaining prejudices. He is indeed a universal mathematician. Smale has been honored with several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966), the National Medal of Science (1996) and theWolf Prize (2006/2007) Analysis wiskunde mathematics optimalisatie optimization operationeel onderzoek operations research toegepaste wiskunde applied mathematics Mathematics (General) Wiskunde (algemeen) Bibliography Includes bibliographical references Notes Print version record Subject Mathematics. Mathematics mathematics. applied mathematics. MATHEMATICS -- Essays. MATHEMATICS -- Pre-Calculus. MATHEMATICS -- Reference. Matemáticas Mathematics Differentialtopologie Globale Analysis Genre/Form essays. Essays Festschriften Festschriften. Essays. Essais. Form Electronic book Author Smale, Stephen, 1930- Pardalos, P. M. (Panos M.), 1954- Rassias, Themistocles M., 1951- ISBN 9783642288210 3642288219

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