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Wave Propagation

An Invariant Imbedding Approach

  • Richard Bellman
  • Ramabhadra Vasudevan

Part of the Mathematics and Its Applications book series (MAIA, volume 17)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Richard Bellman, Ramabhadra Vasudevan
    Pages 1-20
  3. Richard Bellman, Ramabhadra Vasudevan
    Pages 21-37
  4. Richard Bellman, Ramabhadra Vasudevan
    Pages 38-59
  5. Richard Bellman, Ramabhadra Vasudevan
    Pages 60-94
  6. Richard Bellman, Ramabhadra Vasudevan
    Pages 95-109
  7. Richard Bellman, Ramabhadra Vasudevan
    Pages 110-129
  8. Richard Bellman, Ramabhadra Vasudevan
    Pages 130-158
  9. Richard Bellman, Ramabhadra Vasudevan
    Pages 159-190
  10. Richard Bellman, Ramabhadra Vasudevan
    Pages 191-214
  11. Richard Bellman, Ramabhadra Vasudevan
    Pages 215-258
  12. Richard Bellman, Ramabhadra Vasudevan
    Pages 259-309
  13. Richard Bellman, Ramabhadra Vasudevan
    Pages 310-334
  14. Back Matter
    Pages 335-367

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 SCQlldIII 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; 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. They· draw upon widely different sections of mathematics.

Keywords

Approximation Eigenvalue Potential differential equation electromagnetic wave maximum programming

Authors and affiliations

  • Richard Bellman
    • 1
  • Ramabhadra Vasudevan
    • 2
  1. 1.Late of the Department of Electrical EngineeringUniversity of Southern CaliforniaLos AngelesUSA
  2. 2.The Institute of Mathematical SciencesMadrasIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-5227-0
  • Copyright Information Springer Science+Business Media B.V. 1986
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8811-4
  • Online ISBN 978-94-009-5227-0
  • Buy this book on publisher's site