
General Systems Theory
A Mathematical Approach
Yi Lin(Author)
Kluwer Academic/Plenum Publishers
Published on 31. January 1999
Book
Hardback
XIII, 382 pages
978-0-306-45944-3 (ISBN)
Description
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.
More details
Series
Edition
2002 ed.
Language
English
Place of publication
New York
United States
Publishing group
Springer Science+Business Media
Target group
Professional and scholarly
Research
Illustrations
XIII, 382 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 27 mm
Weight
764 gr
ISBN-13
978-0-306-45944-3 (9780306459443)
DOI
10.1007/b116863
Schweitzer Classification
Other editions
Additional editions

Book
03/2013
Springer
€160.49
Shipment within 15-20 days

E-Book
04/2006
Kluwer Academic / Plenum Publishers
€149.79
Available for download
Content
Naive Set Theory.- Axiomatic Set Theory.- Centralizability and Tests of Applications.- A Theoretical Foundation for the Laws of Conservation.- A Mathematics of Computability that Speaks the Language of Levels.- Bellman's Principle of Optimality and its Generalizations.- Unreasonable Effectiveness of Mathematics: A New Tour.- General Systems: A Multirelation Approach.- Systems of Single Relations.- Calculus of Generalized Numbers.- Some Unsolved Problems in General Systems Theory.