Symbolic Dynamics of Trapezoidal Maps

  • J. D. Louck
  • N. Metropolis

Part of the Mathematics and Its Applications book series (MAIA, volume 27)

Table of contents

  1. Front Matter
    Pages i-viii
  2. J. D. Louck, N. Metropolis
    Pages 1-47
  3. J. D. Louck, N. Metropolis
    Pages 48-57
  4. J. D. Louck, N. Metropolis
    Pages 58-67
  5. J. D. Louck, N. Metropolis
    Pages 68-82
  6. J. D. Louck, N. Metropolis
    Pages 83-87
  7. J. D. Louck, N. Metropolis
    Pages 88-91
  8. J. D. Louck, N. Metropolis
    Pages 92-118
  9. J. D. Louck, N. Metropolis
    Pages 119-151
  10. J. D. Louck, N. Metropolis
    Pages 152-168
  11. J. D. Louck, N. Metropolis
    Pages 169-187
  12. J. D. Louck, N. Metropolis
    Pages 188-213
  13. Back Matter
    Pages 214-312

About this book


It isn't that they can't see the solution. It is Approach your problems from the right end and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father The Hermit Gad in Crane Feathers' in R. Brown The point of a Pin'. van GuIik's The Chinese Maze Murders. Growing speciaIization 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.


filtering integrable system measure measure theory

Authors and affiliations

  • J. D. Louck
    • 1
  • N. Metropolis
    • 1
  1. 1.Los Alamos National LaboratoryUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1986
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8548-9
  • Online ISBN 978-94-009-4610-1
  • Buy this book on publisher's site