Essays in Mathematics and its Applications

In Honor of Stephen Smale´s 80th Birthday

  • Panos M. Pardalos
  • Themistocles M. Rassias

Table of contents

  1. Front Matter
    Pages i-viii
  2. Flavio Abdenur, Sylvain Crovisier
    Pages 1-16
  3. Dorin Andrica, Cornel Pintea
    Pages 17-35
  4. Albrecht Böttcher, Sergei Grudsky, Arieh Iserles
    Pages 37-48
  5. Y. M. Eliashberg, N. M. Mishachev
    Pages 81-109
  6. Michael H. Freedman
    Pages 111-140
  7. Estela A. Gavosto, Małgorzata Stawiska
    Pages 141-149
  8. M. Gromov
    Pages 151-229
  9. John Guckenheimer
    Pages 231-239
  10. John N. Mather
    Pages 271-285
  11. Vicente Muñoz, Ricardo Pérez Marco
    Pages 295-333
  12. Choonkil Park, Themistocles M. Rassias
    Pages 335-367
  13. Agostino Prástaro
    Pages 369-419
  14. Nat Smale
    Pages 421-430

About this book


​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).


Differential Topology Dynamical Systems Global Analysis Nonlinear Functional Analysis Numerical Analysis Theory of Computation and Machine Learning

Editors and affiliations

  • Panos M. Pardalos
    • 1
  • Themistocles M. Rassias
    • 2
  1. 1., Department of Industrial & Systems EnginUniversity of FloridaGainesvilleUSA
  2. 2., Department of MathematicsNational Technical University of AthensAthensGreece

Bibliographic information