Theoretical Approaches to Non-Numerical Problem Solving

Proceedings of the IV Systems Symposium at Case Western Reserve University

  • R. B. Banerji
  • M. D. Mesarovic
Conference proceedings

Part of the Lecture Notes in Operations Research and Mathematical Systems book series (LNE, volume 28)

Table of contents

  1. Front Matter
    Pages N1-vi
  2. Overviews

    1. Front Matter
      Pages 1-1
    2. J. A. Robinson
      Pages 2-20
    3. George W. Ernst
      Pages 59-107
    4. Robert F. Simmons
      Pages 108-139
  3. Problems in Foundations

  4. Current Research

    1. Front Matter
      Pages 245-245
    2. James R. Slagle
      Pages 246-273
    3. Richard Bellman
      Pages 274-280
    4. Ralph L. London
      Pages 281-302
    5. Edward Thorp, William E. Walden
      Pages 303-343
  5. New Applications

    1. Front Matter
      Pages 362-362
    2. Joshua Lederberg, Georgia L. Sutherland, Bruce G. Buchanan, Edward A. Feigenbaum
      Pages 401-409
    3. Walter Jacobs
      Pages 419-454
  6. Back Matter
    Pages 467-470

About these proceedings


Advances in computer technology have pointed out the next important area of computer applications: solution of non-numerical problems. It is hardly necessary to emphasize the importance of these kind of problems. First of all most of the decisions one has to make in real-life situations are non-numerical in the first instance and can be represented as numerical problems only as approximations which are often only partially valid. Second, to use the computer to its full potential it should be employed as a logical machine, capable of deduction, and not just as a numerical calculating machine. Thus the computer would extend man's capability for logical reasoning and not just for his capability to do fast and accurate calculation. It is not a new area; indeed non-numerical problems are central in fields such as artificial intelligence, heuristic programming, pattern recognition, classification and information-processing (and retrival) etc. However, it is fair to assess that progress in the area has not been quite as expected. One of the reasons was a lack of conceptual and theoretical framework in which to investigate different classes of non-numerical problems to improve understanding of various types of problems and methods for their solutions and furthermore to enable the methods which have been proven as effective in one situation to be used in another situation with appropriately similar structure.


Calculation approximation mathematics problem solving theorem

Editors and affiliations

  • R. B. Banerji
    • 1
  • M. D. Mesarovic
    • 1
  1. 1.Systems Research CenterCase Western Reserve UniversityClevelandUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1970
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-04900-5
  • Online ISBN 978-3-642-99976-5
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site