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General Systems Theory

A Mathematical Approach

  • Book
  • © 2002
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Overview

Authors:
  1. Yi Lin

    1. Slippery Rock University, Slippery Rock

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    Pages 1-14
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  3. Naive Set Theory

    Pages 15-57
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  4. Axiomatic Set Theory

    Pages 59-96
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  5. Centralizability and Tests of Applications

    Pages 97-109
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  6. A Theoretical Foundation for the Laws of Conservation

    Pages 111-119
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  7. A Mathematics of Computability that Speaks the Language of Levels

    Pages 121-134
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  8. Bellman’s Principle of Optimality and its Generalizations

    Pages 135-161
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  9. Unreasonable Effectiveness of Mathematics: A New Tour

    Pages 163-189
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  10. General Systems: A Multirelation Approach

    Pages 191-254
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  11. Systems of Single Relations

    Pages 255-309
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  12. Calculus of Generalized Numbers

    Pages 311-346
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  13. Some Unsolved Problems in General Systems Theory

    Pages 347-367
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  14. Back Matter

    Pages 369-382
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Keywords

About this book

As suggested by the title of this book, I will present a collection of coherently related applications and a theoretical development of a general systems theory. Hopefully, this book will invite all readers to sample an exciting and challenging (even fun!) piece of interdisciplinary research, that has characterized the scientific and technological achievements of the twentieth century. And, I hope that many of them will be motivated to do additional reading and to contribute to topics along the lines described in the following pages. Since the applications in this volume range through many scientific disciplines, from sociology to atomic physics, from Einstein’s relativity theory to Dirac’s quan tum mechanics, from optimization theory to unreasonable effectiveness of mathe matics to foundations of mathematical modeling, from general systems theory to Schwartz’s distributions, special care has been given to write each application in a language appropriate to that field. That is, mathematical symbols and abstractions are used at different levels so that readers in various fields will find it possible to read. Also, because of the wide range of applications, each chapter has been written so that, in general, there is no need to reference a different chapter in order to understand a specific application. At the same time, if a reader has the desire to go through the entire book without skipping any chapter, it is strongly suggested to refer back to Chapters 2 and 3 as often as possible.

Authors and Affiliations

  • Slippery Rock University, Slippery Rock

    Yi Lin

Bibliographic Information

  • Book Title: General Systems Theory

  • Book Subtitle: A Mathematical Approach

  • Authors: Yi Lin

  • Series Title: IFSR International Series in Systems Science and Systems Engineering

  • DOI: https://doi.org/10.1007/b116863

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2002

  • Hardcover ISBN: 978-0-306-45944-3Published: 31 January 1999

  • Softcover ISBN: 978-1-4757-7192-3Published: 08 March 2013

  • eBook ISBN: 978-0-306-46962-6Published: 11 April 2006

  • Series ISSN: 1574-0463

  • Series E-ISSN: 2698-5497

  • Edition Number: 1

  • Number of Pages: XIII, 382

  • Topics: Systems Theory, Control

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