Selected Bibliography for Modeling Social Phenomena

Abraham, Ralph H. and Christopher D. Shaw. 1992. Dynamics: The Geometry of Behavior, Second Edition. Redwood City, California: Addison-Wesley.

Baker, Gregory L. and Jerry P. Gollub. 1990. Chaotic Dynamics: An Introduction. Cambridge: Cambridge University Press.

Bard, Y. 1974. Nonlinear Parameter Estimation. New York: Academic Press.

Barrilleaux, Charles J. 1986. A Dynamic Model of Partisan Competition in the American States. American Journal of Political Science, 30:822-840.

Bartholomew, D. J. 1967. Stochastic Models for Social Processes. New York: John Wiley.

Bartos, Otomar J. 1967. Simple Models of Group Behavior. New York: Columbia University Press.

Baumol, William J. 1970. Economic Dynamics: An Introduction. New York: Macmillan.

Becker, Karl-Heinz and Michael Dorfler. 1989. Dynamical Systems and Fractals: Computer Graphics Experiments In Pascal. Cambridge: Cambridge University Press.

Bender, Edward A., An Introduction to Mathematical Modeling. New York: Dover.

Boudon, Raymond. 1973. Education, Opportunity and Social Inequality: Changing Prospects in Western Society. New York: John Wiley.

Boyd, Lawrence H., Jr. and Iverson, Gudmund. 1979. Contextual Analysis: Concepts and Statistical Techniques. Belmont, California: Wadsworth.

Brown, Courtney. 1995. Serpents in the Sand: Essays on the Nonlinear Nature of Politics and Human Destiny. Ann Arbor, Michigan: University of Michigan Press.

Brown, Courtney. 1995. Chaos and Catastrophe Theories. Thousand Oaks, California: Sage Publications. Series: Quantitative Applications in the Social Sciences, Number 107.

Brown, Courtney. 1991. Ballots of Tumult: A Portrait of Volatility in American Voting. Ann Arbor, Michigan: University of Michigan Press, 1991.

Brown, Courtney. 1994. Politics and the Environment: Nonlinear Instabilities Dominate American Political Science Review, 88:292-303, No. 2.

Brown, Courtney. 1993. Nonlinear Transformation in a Landslide: Johnson and Goldwater in 1964, American Journal of Political Science, 37:582-609, No. 2.

Brown, Courtney. 1988. The Mass Dynamics of U.S. Presidential Competitions from 1928 to 1936. American Political Science Review. 82:1153-1181.

Brown, Courtney. 1987. Voter Mobilization and Party Competition in a Volatile Electorate. American Sociological Review, 52:59-72.

Brown, Courtney and Michael MacKuen. 1987. Political Context and Attitude Change. American Political Science Review, 81:471- 490.

Brown, Courtney. 1982. The Nazi Vote: A National Ecological Study. American Political Science Review, 76:285-302.

Campbell, Hugh G. 1968. Matrices with Applications. Englewood Cliffs, N.J.: Prentice-Hall.

Cleveland, William S. 1985. The Elements of Graphing Data. Monterey, California: Wadsworth Advanced Books and Software.

Coleman, James S. 1981. Longitudinal Data Analysis. New York: Basic Books.

Coleman, James S. 1964. Introduction to Mathematical Sociology. New York: Free Press.

Cortés, Fernando, Adam Przeworski, and John Sprague. 1974. Systems Analysis for Social Scientists. New York: Wiley Interscience.

Crosby, Robert W. 1987. Toward a Classification of Complex Systems. European Journal of Operational Research 30:291-3.

Danby, J. M. A. 1985. Computing Applications to Differential Equations: Modelling in the Physical and Social Sciences. Reston, Virginia: Reston Publishing Company, Inc.

Dennis, John E., D. M. Gay, and R. E. Welsh. 1981(a). An Adaptive Nonlinear Least Squares Algorithm. ACM Transactions on Mathematical Software, 7: 348-368.

Dennis, John E., D. M. Gay, and R. E. Welsh. 1981(b). Algorithm 573-NL2SOL -- An Adaptive Nonlinear Least Squares Algorithm. ACM Transactions on Mathematical Software, 7: 369-383.

Dennis, John E. and Robert B. Schnabel. 1983. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Englewood Cliffs, N.J.: Prentice-Hall.

Erbring, Lutz W. 1975. The Impact of Political Events on Mass Publics: The Time Dimension of Public Opinion and an Approach to Dynamic Analysis. Unpublished Ph.D. dissertation. Department of Political Science, University of Michigan, Ann Arbor.

Fletcher, R. 1965. Function minimization Without Evaluating Derivatives -- A Review. Computing Journal, 8: 33-41.

Gillespie, John V., Dina A. Zinnes, Philip A. Schrodt, G. S. Tahim, R. Michael Rubinson. 1977. An Optimal Control Model of Arms Races. American Political Science Review, 71:226-44.

Goldberg, Samuel. 1958. Introduction to Difference Equations: with Illustrative examples from Econimics, Psychology, and Sociology. New York: Dover.

Goldstein, Larry J., David I. Schneider, and Martha J. Siegel. 1988. Finite Mathematics and Its Applications, 3rd Ed., Englewood Cliffs: Prentice-Hall.

Goldstein, Larry J., D. Lay, and David I. Schneider. Calculus and Its Applications. Englewood Cliffs, N.J.: Prentice-Hall.

Haberman, Richard. 1977. Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow. Englewood Cliffs, New Jersey: Prentice-Hall.

Hamming, Richard W. 1971. Introduction to Applied Numerical Analysis. New York: McGraw-Hill.

Hamming, Richard W. 1973. Numerical Methods for Scientists and Engineers, 2nd Ed. New York: McGraw-Hill.

Hanushek, Eric A., and John E. Jackson. 1977. Statistical Methods for Social Scientists. New York: Academic Press.

Hirsch, Morris W., and Stephen Smale. 1974. Differential Equations, Dynamical Systems, and Linear Algebra. New York: Academic Press.

Hoffman, Laurence D. and Geralk L. Bradley. 1989. Calculus for Business, Economics, and the Social and Life Sciences. Fourth Edition. New York: McGraw-Hill Book Company.

Holden, Arun V., ed. 1986. Chaos. Princeton, N.J.: Princeton University Press.

Huckfeldt, R. Robert, C. W. Kohfeld, and Thomas W. Likens. 1982. Dynamic Modeling: An Introduction. Newbury Park, California: Sage, (Paper 27).

Jackson, John E. 1987. Variable Coefficient Models and Analyis of Electoral Change. Paper presented at the 1987 meetings of the Midwest Political Science Convention.

Judge, George G., R. Carter Hill, William Griffiths, Helmut Lutkepohl, Tsoung-Chau Lee. 1982. Introduction to the Theory and Practice of Econometrics. New York: John Wiley and Sons.

Karlsson, Georg. 1958. Social Mechanisms: Studies in Sociological Theory. Glencoe, Ill.: Free Press.

Koçak, Hüseyin. 1989. Differential and Difference Equations through Computer Experiments With a Supplementary Diskette Containing PHASER: An Animator/Simulator for Dynamical Systems for IBM Personal Computers, Second edition. New York: Springer-Verlag.

Kramer, Gerald H. 1983. The Ecological Fallacy Revisted: Aggregate-versus Individual-level Findings on Economics and Elections, and Sociotropic Voting. American Political Science Review 77:92-111.

Luenberger, David G. 1979. Introduction to Dynamic Systems. New York: John Wiley.

MacKuen, Michael. 1981. "Social Communication and the Mass Policy Agenda," Part One in Michael Bruce MacKuen and Steven Lane Coombs, More than News: Media Power in Public Affairs. Beverly Hills, California: Sage.

May, Robert M. 1974. Stability and Complexity in Model Ecosystems. 2nd Ed. Princeton, N. J.: Princeton U. Press.

May, Robert M. 1976. Simple mathematical models with very complicated dynamics, Nature 261, 459-467.

McPhee, William N. 1963. Formal Theories of Mass Behavior. London: Collier-Macmillan; Free Press.

Mesterton-Gibbons, M. 1989. A Concrete Approach to Mathematical Modeling. New York: Addison-Wesley.

Mooney, Douglas, and Randall Swift. A Course in Mathematical Modeling. 1999. The Mathemetical Association of America.

Nisbet, R. M., and Gurney W. S. C. 1982. Modelling Fluctuating Populations. New York: John Wiley and Sons.

Ostrom, Charles W. 1990. Time Series Analysis, 2nd Edition. Thousand Oaks, California: Sage Publications.

Pattee, H. H. (Ed.) 1973. Hierarchy Theory: The Challenge of Complex Systems. New York: George Braziller.

Pickover, Clifford A. 1990. Computers, Pattern, Chaos and Beauty: Graphics from and Unseen World. New York: St. Martin's Press.

Press, William H., Brian P. Flannery, Saul A. Teukolsky, and William T. Vetterling. 1989. Numerical Recipies in Pascal. Cambridge: Cambridge University Press.

Powell, M. J. D. 1964. An Efficient Method for Finding the Minimum of a Function of Several Variables without Calculating Derivatives. Computer Journal, 7: 155-162.

Przeworski, Adam. 1975. Institutionalization of Voting Patterns, or is Mobilization the Source of Decay. American Political Science Review, 69:49-67.

Przeworski, Adam and Glaucio A. D. Soares. 1971. Theories in Search of a Curve: A Contextual Interpretation of Left Vote. American Political Science Review 65:51-68.

Przeworski, Adam, and John Sprague. 1986. Paper Stones: A History of Electoral Socialism. Chicago: University of Chicago Press.

Rapoport, Anatol. 1963. "Mathematical Models of Social Interaction." Ch. 14 in R. Duncan Luce, Robert R. Bush, and Eugene Galanter, (Eds.), Handbook of Mathematical Psychology, Vol. 2. New York: John Wiley, 1963.

Rapoport, Anatol. 1983. Mathematical Models in the Social and Behavioral Sciences. New York: Wiley.

Rosen, R. 1970. Dynamical System Theory in Biology, Vol. 1. Stability Theory and Its Application. New York: John Wiley and Sons.

SAS/ETS Users Guide, Latest Version. Cary, North Carolina: SAS Institute, Inc.

Saunders, P. T. 1980. An Introduction to Catastrophe Theory. New York: Cambridge Univerisity Press.

Schmidt, Calvin F. 1983. Statistical Graphics: Design Principles and Practices. New York: John Wiley & Sons.

Simon, Herbert A. 1957. Models of Man: Social and Rational. New York: John Wiley.

Sorenson, Harold W. 1980. Parameter Estimation: Principles and Problems. New York: Marcel Dekker, Inc.

Sprague, John. 1976. Estimating a Boudon Type Contextual Model: Some Practical and Theoretical Problems of Measurement. Political Methodology, 3: 333-53.

Sprague, John. 1984. "One-Party Dominance in Legislatures," in The Research Process in Political Science, W. Phillips Shively (Ed.), 225-267.

Tuma, Nancy Brandon and Michael T. Hanna. 1984. Social Dynamics: Models and Methods. New York: Academic Press.

Ward, Michael Don. 1984. Differential Paths to Parity: A Study of the Contemporary Arms Race. American Political Science Review, 78: 297-317.

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