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Graph Algebra: Mathematical Modeling With a Systems Approach de Courtney M. Brown

Graph Algebra: Mathematical Modeling With a Systems Approach: Quantitative Applications in the Social Sciences, cartea 151

Autor Courtney M. Brown
en Limba Engleză Electronic book text – 29 sep 2006
Derived from engineering literature that uses similar techniques to map electronic circuits and physical systems, graph algebra utilizes a systems approach to modelling that offers social scientists a variety of tools that are both sophisticated and easily applied.
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Specificații

ISBN-13: 9781452213361
ISBN-10: 1452213364
Pagini: 104
Dimensiuni: 140 x 216 mm
Ediția:1
Editura: SAGE Publications
Colecția Sage Publications, Inc
Seria Quantitative Applications in the Social Sciences

Locul publicării:Thousand Oaks, United States

Recenzii

"Brown is well known for research on mathematical modeling in the social sciences.  His book introduces the graph algebra approach to modeling systems in the social sciences."

—CHOICE

Cuprins

Series Editor's Introduction
Acknowledgments
1. Systems Analysis
Structure and Function
An Overview of the Substantive Examples Found in Subsequent Chapters
2. Graph Algebra Basics
Inputs, Outputs, and the Forward Path
Feedback Loops and Mason's Rule
An Example From Economics: The Keynesian Multiplier
3. Graph Algebra and Discrete-Time Linear Operators
Delay and Advance Operators for Discrete Time
Including an Additive Constant With Graph Algebra
Difference and Summation Operators for Discrete Time
An Estimated Example: Labor Union Membership
4. Working With Systems of Equations
Richardson's Arms Race Model Using Graph Algebra
Variations of Richardson's Arms Race Model
An Estimated Example of a Multiple-Equation System With Nonlinear or Embedded Parameters: Richardson's Arms Race
5. Applying Graph Algebra to Continuous Time
Using Graph Algebra With Continuous-Time Operators
6. Graph Algebra and Nonlinearity
Nonlinear Filters
The Logistic Function
Placement Rules for Operators in Nonlinear Models
Graph Algebra and Chaos
Forced Oscillators
7. Working With Conditional Paths
Logical and Decision Systems
An Example of Democratic Transition
8. Systems, Shocks, and Stochasticity
9. Graph Algebra and Social Theory
Systems and Equilibria
References
Index
About the Author

Notă biografică

Courtney Brown is an Associate Professor in the Department of Political Science at Emory University. Dr. Brown has taught differential equation modeling to graduate and undergraduate students for over 20 years. His teaching and research interests also include other quantitative methods, political musicology, science fiction and politics, electoral behavior, political parties, democratic development, and politics and the environment. He has authored five books that deal with differential equation models in the social sciences, including three titles for the Quantitative Applications in the Social Sciences series.