Advertisement

Methods in Approximation

Techniques for Mathematical Modelling

  • Richard E. Bellman
  • Robert S. Roth

Part of the Mathematics and Its Applications book series (MAIA, volume 26)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Richard E. Bellman, Robert S. Roth
    Pages 1-16
  3. Richard E. Bellman, Robert S. Roth
    Pages 17-39
  4. Richard E. Bellman, Robert S. Roth
    Pages 40-70
  5. Richard E. Bellman, Robert S. Roth
    Pages 71-102
  6. Richard E. Bellman, Robert S. Roth
    Pages 103-124
  7. Richard E. Bellman, Robert S. Roth
    Pages 125-148
  8. Richard E. Bellman, Robert S. Roth
    Pages 149-160
  9. Richard E. Bellman, Robert S. Roth
    Pages 161-177
  10. Richard E. Bellman, Robert S. Roth
    Pages 178-199
  11. Richard E. Bellman, Robert S. Roth
    Pages 200-221
  12. Back Matter
    Pages 223-224

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. They draw upon widely different sections of mathematics.

Keywords

continuous function differential equation function space maximum orthogonal polynomials

Authors and affiliations

  • Richard E. Bellman
    • 1
    • 2
  • Robert S. Roth
    • 3
  1. 1.Department of Electrical EngineeringUniversity of Southern CaliforniaLos AngelesUSA
  2. 2.Center for Applied MathematicsThe University of GeorgiaAthensUSA
  3. 3.BostonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-4600-2
  • Copyright Information Springer Science+Business Media B.V. 1986
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8544-1
  • Online ISBN 978-94-009-4600-2
  • Buy this book on publisher's site