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Functional Equations: History, Applications and Theory

  • J. Aczél

Part of the Mathematics and Its Applications book series (MAIA, volume 12)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Essays

  3. Papers

  4. Back Matter
    Pages 231-245

About this book

Introduction

Approach your problems from It isn't that they can't see the right end and begin with the solution. It is that they the answers. Then one day, can't see the problem. perhaps you will find the G.K. Chesterton. The Scandal of final question. Father Brown 'The Point of a Pin' . 'The Hermit Clad ~n Crane Feathers' in R. van Gulik's The Chinese Haze 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 mathe­ matics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) ~n re­ gional 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 pro­ gramming profit from homotopy theory; Lie algebras are rele­ vant to filtering; and prediction and electrical en~ineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existinf, classifi~ation schemes. They draw upon widely different sections of mathematics.

Keywords

distribution filtering functional equation integrable system measure measure theory

Authors and affiliations

  • J. Aczél
    • 1
  1. 1.Centre for Information TheoryUniversity of WaterlooCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-6320-7
  • Copyright Information Springer Science+Business Media B.V. 1984
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0329-5
  • Online ISBN 978-94-009-6320-7
  • Buy this book on publisher's site
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