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Lectures on Numerical Methods in Bifurcation Problems
Methods for Finding Zeros in Polynomials
Lectures on Stochastic Flows and Applications
Educational Psychology by Edward L. Thorndike
The Last Days of Tolstoy by V. G. Chertkov
Globalization and Responsibility
Lectures on Siegel Modular Forms and Representation by Quadratic Forms
Lectures on Topics In One-Parameter Bifurcation Problems
History of the Incas by Pedro Sarmiento de Gamboa
Linear Algebra: Theorems and Applications
Lectures on Stochastic Differential Equations and Malliavin Calculus
A Short Biographical Dictionary of English Literature
Lectures on Sieve Methods and Prime Number Theory
Dollars and Sense by William Crosbie Hunter
The Theory of the Theatre by Clayton Hamilton
The Mathematics of Investment
Occupiers of Wall Street: Losers or Game Changers
The Solution of the Pyramid Problem
Lectures on Moduli of Curves
Walden by Henry David Thoreau
Methods for Finding Zeros in Polynomials
Lectures on Stochastic Flows and Applications
Educational Psychology by Edward L. Thorndike
The Last Days of Tolstoy by V. G. Chertkov
Globalization and Responsibility
Lectures on Siegel Modular Forms and Representation by Quadratic Forms
Lectures on Topics In One-Parameter Bifurcation Problems
History of the Incas by Pedro Sarmiento de Gamboa
Linear Algebra: Theorems and Applications
Lectures on Stochastic Differential Equations and Malliavin Calculus
A Short Biographical Dictionary of English Literature
Lectures on Sieve Methods and Prime Number Theory
Dollars and Sense by William Crosbie Hunter
The Theory of the Theatre by Clayton Hamilton
The Mathematics of Investment
Occupiers of Wall Street: Losers or Game Changers
The Solution of the Pyramid Problem
Lectures on Moduli of Curves
Walden by Henry David Thoreau
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General Systems Theory: A Mathematical Approach (Repost)
Posted on 2010-03-16
|
More Yi Lin: "General Systems Theory: A Mathematical Approach" 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. Table of Contents: 1. Introduction 2. Naive Set Theory 3. Axiomatic Set Theory 4. Centralizability and Tests of Applications 5. A Theoretical Foundation for the Laws of Conservation 6. A Mathematics of Computability that Speaks the Language Levels 7. Bellman's Principle of Optimality and Its Generalizations 8. Unreasonable Effectiveness of Mathematics: A New Tour 9. General Systems: A Multirelation Approach 10. Systems of Single Relations 11. Calculus of Generalized Numbers 12. Some Unsolved Problems in General Systems Theory References Index
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