Graph Algebra

Mathematical Modeling With a Systems Approach

AvCourtney M. Brown

Häftad, Engelska, 2007

Del 151 i serien Quantitative Applications in the Social Sciences

808 kr

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Beskrivning

"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

Graph Algebra: Mathematical Modeling with a Systems Approach introduces a new modeling tool to students and researchers in the social sciences. Derived from engineering literature that uses similar techniques to map electronic circuits and physical systems, graph algebra utilizes a systems approach to modeling that offers social scientists a variety of tools that are both sophisticated and easily applied.

Key Features:

Designed for readers in the social sciences with minimal mathematical training: In this volume, the author assists readers in developing their own difference and differential equation model specifications
Incorporates Social Theory: This book describes an easily applied language of mathematical modeling that uses boxes and arrows to develop very sophisticated algebraic statements of social and political phenomena. Graph algebra can be used to algebraically "flesh-out" even the most complicated and sophisticated of theories.
Contains social science examples of graph algebra models: Social science readers can see many examples of how graph algebra can be used to model theories from a wide variety of substantive areas and disciplines. The book also describes how to estimate such models, and two examples are fully worked out.
Explains linear and nonlinear model specifications using graph algebra from a social science perspective: Readers can move beyond simple linear regression models by using graph algebra.

This text is ideal for use in graduate courses such as Statistical Modeling, Quantitative Methods, and Applied Mathematics.

Produktinformation

Utgivningsdatum:2007-09-05
Mått:139 x 215 x 7 mm
Vikt:140 g
Format:Häftad
Språk:Engelska
Serie:Quantitative Applications in the Social Sciences
Antal sidor:104
Upplaga:1
Förlag:SAGE Publications
ISBN:9781412941099

Utforska kategorier

Sociologi inom Samhälle och politik

Mer om författaren

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.

Recensioner i media

"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

Innehållsförteckning

Series Editor′s IntroductionAcknowledgments1. Systems AnalysisStructure and FunctionAn Overview of the Substantive Examples Found in Subsequent Chapters2. Graph Algebra BasicsInputs, Outputs, and the Forward PathFeedback Loops and Mason′s RuleAn Example From Economics: The Keynesian Multiplier3. Graph Algebra and Discrete-Time Linear OperatorsDelay and Advance Operators for Discrete TimeIncluding an Additive Constant With Graph AlgebraDifference and Summation Operators for Discrete TimeAn Estimated Example: Labor Union Membership4. Working With Systems of EquationsRichardson′s Arms Race Model Using Graph AlgebraVariations of Richardson′s Arms Race ModelAn Estimated Example of a Multiple-Equation System With Nonlinear or Embedded Parameters: Richardson′s Arms Race5. Applying Graph Algebra to Continuous TimeUsing Graph Algebra With Continuous-Time Operators6. Graph Algebra and NonlinearityNonlinear FiltersThe Logistic FunctionPlacement Rules for Operators in Nonlinear ModelsGraph Algebra and ChaosForced Oscillators7. Working With Conditional PathsLogical and Decision SystemsAn Example of Democratic Transition8. Systems, Shocks, and Stochasticity9. Graph Algebra and Social TheorySystems and EquilibriaReferencesIndexAbout the Author