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Instabilities and Nonequilibrium Structures

  • Enrique Tirapegui
  • Danilo Villarroel

Part of the Mathematics and Its Applications book series (MAIA, volume 33)

Table of contents

  1. Front Matter
    Pages i-x
  2. Enrique Tirapegui, Danilo Villarroel
    Pages 1-2
  3. J. M. Gambaudo, P. Glendinning, C. Tresser
    Pages 41-62
  4. H. M. Nussenzveig
    Pages 89-115
  5. Fernando Lund
    Pages 117-140
  6. Daniel Walgraef
    Pages 197-216
  7. Charles P. Enz
    Pages 217-239
  8. N. G. van Kampen
    Pages 241-270
  9. R. Dandoloff, Y. Pomeau
    Pages 291-297
  10. C. Elphick, E. Tirapegui
    Pages 299-310
  11. A. S. Fernandes, M. V. A. P. Heller, I. L. Caldas
    Pages 317-324
  12. Manuel O. Cáceres
    Pages 325-332
  13. Back Matter
    Pages 333-337

About this book

Introduction

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perbaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuIik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Keywords

Potential algebraic geometry bifurcation chaos classification coding correlation dynamical systems geometry measure theory synergetics

Editors and affiliations

  • Enrique Tirapegui
    • 1
  • Danilo Villarroel
    • 2
  1. 1.Departamento de Física, Facultad de Ciencias Físicas y MatemáticasUniversidad de ChileSantiagoChile
  2. 2.Departamento de Física, Facultad de CienciasUniversidad Técnica Federico Santa MaríaValparaísoChile

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-3783-3
  • Copyright Information Springer Science+Business Media B.V. 1987
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8183-2
  • Online ISBN 978-94-009-3783-3
  • Buy this book on publisher's site