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Table of contents

  1. Front Matter
  2. Maciej Pindor
    Pages 3-12
  3. Bernard Candelpergher
    Pages 15-37
  4. Jonathan R. Partington
    Pages 39-55
  5. Maciej Pindor
    Pages 59-69
  6. Jonathan R. Partington
    Pages 95-102
  7. Maciej Pindor
    Pages 145-156
  8. Manfred Deistler
    Pages 159-179
  9. Martine Olivi
    Pages 193-209
  10. Laurent Baratchart
    Pages 211-230
  11. François Bondu, Jean-Yves Vinet
    Pages 303-311
  12. Back Matter

About this book

Introduction

This book - an outgrowth of a topical summer school - sets out to introduce non-specialists from physics and engineering to the basic mathematical concepts of approximation and Fourier theory. After a general introduction, Part II of this volume contains basic material on the complex and harmonic analysis underlying the further developments presented. Part III deals with the essentials of approximation theory while Part IV completes the foundations by a tour of probability theory. Part V reviews some major applications in signal and control theory. In Part VI mathematical aspects of dynamical systems theory are discussed. Part VII, finally, is devoted to a modern approach to two physics problems: turbulence and the control and noise analysis in gravitational waves measurements.

Keywords

Approximation Fourier transform Gravitation Interpolation Signal approximation theory control control theory dynamical systems hamonic analysis information measurement physics probability theory systems theory

Bibliographic information

  • DOI https://doi.org/10.1007/11601609
  • Copyright Information Springer-Verlag Berlin/Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-30922-2
  • Online ISBN 978-3-540-33167-4
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • Buy this book on publisher's site