Foundations of Computational Mathematics

Selected Papers of a Conference Held at Rio de Janeiro, January 1997

  • Felipe Cucker
  • Michael Shub

Table of contents

  1. Front Matter
    Pages i-xv
  2. Saugata Basu, Richard Pollack, Marie-Françoise Roy
    Pages 1-15
  3. Jonathan M. Borwein, Warren B. Moors
    Pages 16-22
  4. Vicent Caselles, Bartomeu Coll, Jean-Michel Morel
    Pages 23-42
  5. Peter Dayan
    Pages 43-62
  6. Wilson R. de Oliveira
    Pages 63-74
  7. Alicia Dickenstein
    Pages 102-103
  8. Véronique Froidure, Jean-Eric Pin
    Pages 112-126
  9. Peter J. Giblin, Guillermo Sapiro
    Pages 152-168
  10. O. Gonzalez, A. M. Stuart
    Pages 169-179
  11. Arieh Iserles
    Pages 180-189
  12. Sóstenes Lins
    Pages 231-245
  13. Martín Matamala
    Pages 256-266
  14. Guillermo Matera, Jose Maria Turull Torres
    Pages 267-276
  15. Sanjoy K. Mitter
    Pages 277-277
  16. Hans Munthe-Kaas, Antonella Zanna
    Pages 305-315
  17. Robert J. Plemmons
    Pages 362-367
  18. Sebastian Reich
    Pages 368-368

About these proceedings


This book contains a collection of articles corresponding to some of the talks delivered at the Foundations of Computational Mathematics (FoCM) conference at IMPA in Rio de Janeiro in January 1997. FoCM brings together a novel constellation of subjects in which the computational process itself and the foundational mathematical underpinnings of algorithms are the objects of study.
The Rio conference was organized around nine workshops: systems of algebraic equations and computational algebraic geometry, homotopy methods and real machines, information based complexity, numerical linear algebra, approximation and PDE's, optimization, differential equations and dynamical systems, relations to computer science and vision and related computational tools. The proceedings of the first FoCM conference will give the reader an idea of the state of the art in this emerging discipline.


Algebra Algorithmen Rechnen in der Mathematik algorithms calculus computational mathematics finite field numerical analysis numerische Mathematik scientific computing wissenschaftliches Rechnen

Editors and affiliations

  • Felipe Cucker
    • 1
    • 2
  • Michael Shub
    • 3
  1. 1.Department of MathematicsCity University of Hong KongKowloonHong Kong
  2. 2.Departament d’EconomiaUniversitat Pompeu FabraBarcelonaSpain
  3. 3.I.B.M. T.J. Watson CenterYorktown HeightsUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-61647-4
  • Online ISBN 978-3-642-60539-0
  • Buy this book on publisher's site