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General Systems Theory : A Mathematical Approach - Y.K. Lin

General Systems Theory

A Mathematical Approach

By: Y.K. Lin

Hardcover

Published: 31st January 1999
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The overall trend of modern science and technology is to synthesize all areas of knowledge into a few major blocks. Another characteristic is that the esthetic standard of scientific workers has been changing constantly. They ask, How can they equip themselves with the newest knowledge? How can they handle new knowledge, the amount of which has been increasing in a geometric series? According to Quastler, systems methodology is essentially the establishment of a structural foundation for four kinds of theories of organization: cybernetics, game theory, decision theory, and information theory. General systems methodology is a theoretical methodology whose purpose is to realize the ideal model of a systems theory described by von Bertalanffy, Quastler, and Zadeh - that is, to establish a general theory applicable to explain phenomena in various specific systems. The present volume is a comprehensive and mathematical approach to general systems theory. Topics explored are naA-ve set theory; axiomatic set theory; centralizability and tests of applications; systems of single relations; calculus of generalized numbers; unsolved problems in general systems theory.

Introductionp. 1
Naive Set Theoryp. 15
Axiomatic Set Theoryp. 59
Centralizability and Tests of Applicationsp. 97
A Theoretical Foundation for the Laws of Conservationp. 111
A Mathematics of Computability that Speaks the Language of Levelsp. 121
Bellman's Principle of Optimality and Its Generalizationsp. 135
Unreasonable Effectiveness of Mathematics: A New Tourp. 163
General Systems: A Multirelation Approachp. 191
Systems of Single Relationsp. 255
Calculus of Generalized Numbersp. 311
Some Unsolved Problems in General Systems Theoryp. 347
Referencesp. 369
Indexp. 379
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780306459443
ISBN-10: 0306459442
Series: Ifsr International Series on Systems Science and Engineering, V. 12.
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 382
Published: 31st January 1999
Publisher: Springer Science+Business Media
Country of Publication: US
Dimensions (cm): 24.13 x 16.51  x 2.54
Weight (kg): 0.73