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Nonlinear Numerical Methods and Rational Approximation

  • Annie Cuyt

Part of the Mathematics and Its Applications book series (MAIA, volume 43)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Pade Approximation and Rational Interpolation

  3. Rational Approximation

  4. Multidimensional and Multivariate Problems

  5. Orthogonal Polynomials and the Moment Problem

  6. Continued Fractions

  7. Convergence Acceleration

    1. Front Matter
      Pages 371-371
  8. Applications

    1. Front Matter
      Pages 407-407
    2. S. Clement Cooper, Arne Magnus, William B. Jones
      Pages 409-425
    3. Manuel R. da Silva, Maria João Rodrigues
      Pages 427-434
    4. S. Passkowski
      Pages 435-444
  9. Back Matter
    Pages 453-458

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 Gu!ik'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; use Stein spaces. And in addition to this there are and prediction and electrical engineering can 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.

Keywords

Hypergeometric function differential equation minimum numerical methods orthogonal polynomials

Editors and affiliations

  • Annie Cuyt
    • 1
  1. 1.Universitaire Instelling AntwerpenUniversiteit AntwerpenBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-2901-2
  • Copyright Information Springer Science+Business Media B.V. 1988
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-7807-8
  • Online ISBN 978-94-009-2901-2
  • Buy this book on publisher's site
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