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Physical Models and Equilibrium Methods in Programming and Economics

  • Book
  • © 1984

Overview

Authors:
  1. B. S. Razumikhin

    1. Institute for Systems Studies, Academy of Sciences, Moscow, Russia

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Part of the book series: Mathematics and its Applications (MASS, volume 2)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xv
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  2. Introduction

    • B. S. Razumikhin
    Pages 1-8

  3. Equilibrium of Mechanical Systems with Linear Constraints and Linear Programming Problems

    • B. S. Razumikhin
    Pages 9-37

  4. Equilibrium of Physical Systems and Linear Programming Problems

    • B. S. Razumikhin
    Pages 38-108

  5. The Method of Redundant Constraints and Iterative Algorithms

    • B. S. Razumikhin
    Pages 109-141

  6. The Principle of Removing Constraints

    • B. S. Razumikhin
    Pages 142-160

  7. The Hodograph Method

    • B. S. Razumikhin
    Pages 161-178

  8. The Method of Displacement of Elastic Constraints

    • B. S. Razumikhin
    Pages 179-194

  9. Decomposition Methods for Linear Programming Problems

    • B. S. Razumikhin
    Pages 195-226

  10. Nonlinear Programming

    • B. S. Razumikhin
    Pages 227-249

  11. The Tangent Method

    • B. S. Razumikhin
    Pages 250-267

  12. Models for Economic Equilibrium

    • B. S. Razumikhin
    Pages 268-304

  13. Dynamic Economic Models

    • B. S. Razumikhin
    Pages 305-335

  14. Optimal Control Problems

    • B. S. Razumikhin
    Pages 336-343

  15. Back Matter

    Pages 344-351
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Keywords

About this book

It isn't that they can't see Approach your problems from the solution. the right end and begin with It is that they can't see the the answers. Then one day, problem. perhaps you will find the final qu~stion. G. K. Chesterton. The Scandal of Father Brown ITh~ Point of 'The Hermit Clad in Crane Feathers' in R. van Gulik's a Pin'. The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. HowQvQr, thQ "tree" of knowledge of mathematics and related field does not grow only by putting forth new branches. It also happ~ns, quit~ 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 mathe­ matics 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.

Authors and Affiliations

  • Institute for Systems Studies, Academy of Sciences, Moscow, Russia

    B. S. Razumikhin

Bibliographic Information

  • Book Title: Physical Models and Equilibrium Methods in Programming and Economics

  • Authors: B. S. Razumikhin

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-009-6274-3

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company 1984

  • Hardcover ISBN: 978-90-277-1644-6Published: 31 October 1984

  • Softcover ISBN: 978-94-009-6276-7Published: 17 October 2011

  • eBook ISBN: 978-94-009-6274-3Published: 06 December 2012

  • Series ISSN: 0169-6378

  • Edition Number: 1

  • Number of Pages: XV, 351

  • Topics: Mathematical Modeling and Industrial Mathematics

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