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Mathematics of Random Phenomena

Random Vibrations of Mechanical Structures

  • Paul Krée
  • Christian Soize

Part of the Mathematics and Its Application book series (MAIA, volume 32)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Theory

    1. Paul Krée, Christian Soize
      Pages 1-20
    2. Paul Krée, Christian Soize
      Pages 21-41
    3. Paul Krée, Christian Soize
      Pages 42-75
    4. Paul Krée, Christian Soize
      Pages 76-118
    5. Paul Krée, Christian Soize
      Pages 119-145
  3. Applications

    1. Paul Krée, Christian Soize
      Pages 146-185
    2. Paul Krée, Christian Soize
      Pages 186-228
    3. Paul Krée, Christian Soize
      Pages 229-259
    4. Paul Krée, Christian Soize
      Pages 260-281
  4. Theoretical Complements

    1. Paul Krée, Christian Soize
      Pages 282-307
    2. Paul Krée, Christian Soize
      Pages 308-332
    3. Paul Krée, Christian Soize
      Pages 333-350
    4. Paul Krée, Christian Soize
      Pages 351-373
    5. Paul Krée, Christian Soize
      Pages 374-400
    6. Paul Krée, Christian Soize
      Pages 401-421
  5. Back Matter
    Pages 423-438

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. perhaps 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 Gulik'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.

Keywords

Fourier transform Mathematica algebraic geometry differential equation diffusion fluid mechanics functional analysis geometry modeling optimization solution statistics stochastic process stochastic processes synergetics

Authors and affiliations

  • Paul Krée
    • 1
  • Christian Soize
    • 2
  1. 1.Department of MathematicsUniversité Pierre et Marie CurieParis VIFrance
  2. 2.Office National d’ Etudes et de Recherches AerospatialesChatillonFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-4770-2
  • Copyright Information Springer Science+Business Media B.V. 1986
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8618-9
  • Online ISBN 978-94-009-4770-2
  • Buy this book on publisher's site
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