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Functional Analysis and Control Theory

Linear Systems

  • Stefan Rolewicz

Part of the Mathematics and its Applications book series (MAEE, volume 29)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Stefan Rolewicz
    Pages 1-54
  3. Stefan Rolewicz
    Pages 55-113
  4. Stefan Rolewicz
    Pages 114-137
  5. Stefan Rolewicz
    Pages 138-164
  6. Stefan Rolewicz
    Pages 165-261
  7. Stefan Rolewicz
    Pages 328-417
  8. Back Matter
    Pages 495-524

About this book

Introduction

Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then, It is that they can't see the problem. one day, perhaps you will find the final G.K. Chesterton, The Scandal of Fa­ question. ther Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. Van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono­ graphs 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, cod­ ing 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 relevant to filtering; and prediction and electrical engineering can use Stein spaces.

Keywords

banach spaces calculus differential equation filtering functional analysis integral integral equation measure measure theory metric space ordinary differential equation

Authors and affiliations

  • Stefan Rolewicz
    • 1
  1. 1.Institute of MathematicsPolish Academy of SciencesWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-7758-8
  • Copyright Information Springer Science+Business Media B.V. 1987
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-8423-1
  • Online ISBN 978-94-015-7758-8
  • Series Print ISSN 0169-507X
  • Buy this book on publisher's site