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Applications to the Social Sciences

Appl. to Social Sciences: General

* Bartholomew, David J. Stochastic Models for Social Processes, New York, NY: John Wiley, 1973, 1978. Second Edition.

Bartholomew, David J. Mathematical Methods in Social Science New York, NY: John Wiley, 1981.

Berlinski, David. On System Analysis: An Essay Concerning the Limitations of Some Mathematical Methods in the Social, Political, and Biological Sciences Cambridge, MA: MIT Press, 1976.

Bradley, Ian and Meek, Ronald L. Matrices and Society Princeton, NJ: Princeton University Press, 1986.

Doran, J.E. and Hodson, F.R. Mathematics and Computers in Archaeology Cambridge, MA: Harvard University Press, 1975.

Goldberg, Samuel I. Probability in Social Science New York, NY: Birkhauser, 1983.

Gould, Stephen Jay. The Mismeasure of Man New York, NY: W.W. Norton, 1981.

** Gross, Maurice. Mathematical Models in Linguistics Englewood Cliffs, NJ: Prentice Hall, 1972.

Kemeny, John G. and Snell, J. Laurie. Mathematical Models in the Social Sciences Cambridge, MA: MIT Press, 1972.

Kim, Ki Hang and Roush, Fred W. Mathematics for Social Scientists New York, NY: Elsevier Science, 1980.

* Lazarsfeld, Paul F., ed. Mathematical Thinking in the Social Sciences New York, NY: Russell and Russell, 1969.

Maki, Daniel P. and Thompson, Maynard. Mathematical Models and Applications with Emphasis on the Social, Life, and Management Sciences Englewood Cliffs, NJ: Prentice Hall, 1973.

** Olinick, Michael. An Introduction to Mathematical Models in the Social and Life Sciences Reading, MA: Addison-Wesley, 1978.

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

* Roberts, Fred S. Graph Theory and Its Applications to Problems of Society Philadelphia, PA: Society for Industrial and Applied Mathematics, 1978.

*** Tanur, Judith M., et al., eds. Statistics: A Guide to Political and Social Issues San Francisco, CA: Holden-Day, 1977.

** Washburn, D.K. and Crowe, Donald W. Symmetries of Culture: Handbook of Plane Pattern Analysis Seattle, WA: University of Washington Press, 1988.

Appl. to Social Sciences: Economics

* Arrow, Kenneth J. and Intriligator, Michael D., eds. Handbook of Mathematical Economics, New York, NY: Elsevier Science, 1981--86. 3 Vols.

* Balasko, Yves. Foundations of the Theory of General Equilibrium New York, NY: Academic Press, 1987.

Banerjee, Kali S. Cost of Living Index Numbers: Practice, Precision, and Theory New York, NY: Marcel Dekker, 1975.

** Boot, John C.G. Common Globe or Global Commons: Population Regulation and Income Distribution New York, NY: Marcel Dekker, 1974.

*** Clark, Colin W. Mathematical Bioeconomics: The Optimal Management of Renewable Resources, New York, NY: John Wiley, 1976, 1990. Second Edition.

* Clark, Colin W. Bioeconomic Modelling and Fisheries Management New York, NY: John Wiley, 1985.

* Debreu, Gerard. Theory of Value: An Axiomatic Analysis of Economic Equilibrium New Haven, CT: Yale University Press, 1959, 1971.

Franklin, Joel. Methods of Mathematical Economics: Linear and Nonlinear Programming, Fixed-Point Theorems New York, NY: Springer-Verlag, 1980.

Friedman, James W. Oligopoly and the Theory of Games Amsterdam: North-Holland, 1977.

* Gale, David. The Theory of Linear Economic Models New York, NY: McGraw-Hill, 1960.

* Grandmont, Jean-Michel. Temporary Equilibrium: Selected Readings New York, NY: Academic Press, 1988.

** Griliches, Zvi and Intriligator, Michael D., eds. Handbook of Econometrics, New York, NY: Elsevier Science, 1983. 2 Vols.

** Ingrao, Bruna and Israel, Giorgio. The Invisible Hand: Economic Equilibrium in the History of Science Cambridge, MA: MIT Press, 1990.

James, D.E. and Throsby, C.D. Introduction to Quantitative Methods in Economics New York, NY: John Wiley, 1974.

* Kennedy, Peter. A Guide to Econometrics, Cambridge, MA: MIT Press, 1985. Second Edition.

Khoury, Sarkis J. and Parsons, Torrence D. Mathematical Methods in Finance and Economics New York, NY: Elsevier Science, 1981.

* Klein, Ervin. Mathematical Methods in Theoretical Economics: Topological and Vector Space Foundations of Equilibrium Analysis New York, NY: Academic Press, 1973.

* Leontief, W. Input-Output Economics New York, NY: Oxford University Press, 1966.

Makarov, V.L. and Rubinov, A.M. Mathematical Theory of Economic Dynamics and Equilibria New York, NY: Springer-Verlag, 1977.

Nikaido, Hukukane. Convex Structures and Economic Theory New York, NY: Academic Press, 1968.

Rader, Trout. Theory of Microeconomics New York, NY: Academic Press, 1972.

*** Raiffa, Howard. The Art and Science of Negotiation Cambridge, MA: Harvard University Press, 1982.

** Reiter, Stanley, ed. Studies in Mathematical Economics Washington, DC: Mathematical Association of America, 1986.

Sassone, Peter G. and Schaffer, William A. Cost-Benefit Analysis: A Handbook New York, NY: Academic Press, 1978.

Sato, Ryuzo. Theory of Technical Change and Economic Invariance: Application of Lie Groups New York, NY: Academic Press, 1981.

* Scarf, Herbert. The Computation of Economic Equilibria New Haven, CT: Yale University Press, 1973.

** Starr, Ross M. General Equilibrium Models of Monetary Economics: Studies in the Static Foundation of Monetary Theory New York, NY: Academic Press, 1989.

* Stigum, Brent P. Toward a Formal Science of Economics: The Axiomatic Method in Economics and Econometrics Cambridge, MA: MIT Press, 1990.

** Wonnacott, Ronald J. and Wonnacott, Thomas H. Econometrics, New York, NY: John Wiley, 1979. Second Edition.

van der Ploeg, Frederick, ed. Mathematical Methods in Economics New York, NY: John Wiley, 1984.

Appl. to Social Sciences: Political Science

*** Balinski, Michael L. and Young, H. Peyton. Fair Representation: Meeting the Ideal of One Man, One Vote New Haven, CT: Yale University Press, 1982.

Beltrami, Edward J. Models for Public Systems Analysis New York, NY: Academic Press, 1977.

Brams, Steven J. Superpower Games: Applying Game Theory to Superpower Conflict New Haven, CT: Yale University Press, 1985.

* Brams, Steven J. Paradoxes in Politics: An Introduction to the Nonobvious in Political Science New York, NY: Free Press, 1976.

* Brams, Steven J. and Fishburn, Peter C. Approval Voting New York, NY: Birkhauser, 1983.

** Brams, Steven J.; Lucas, William F.; and Straffin, Philip D., Jr., eds. Political and Related Models New York, NY: Springer-Verlag, 1983. Modules in Applied Mathematics, Vol. 2.

Fishburn, Peter C. The Theory of Social Choice Princeton, NJ: Princeton University Press, 1973.

Kim, Ki Hang and Roush, Fred W. Introduction to Mathematical Consensus Theory New York, NY: Marcel Dekker, 1980.

** Mirkin, Boris G. Group Choice Silver Spring, MD: V.H. Winston, 1979.

Ordeshook, Peter C., ed. Game Theory and Political Science New York, NY: New York University Press, 1978.

** Straffin, Philip D., Jr. Topics in the Theory of Voting New York, NY: Birkhauser, 1980.

Appl. to Social Sciences: Psychology

Atkinson, Richard C., et al. Introduction to Mathematical Learning Theory New York, NY: John Wiley, 1965.

* Luce, Robert Duncan, et al. Handbook of Mathematical Psychology, New York, NY: John Wiley, 1963--65. 3 Vols.

Messick, David M., ed. Mathematical Thinking in Behavioral Sciences, New York, NY: W.H. Freeman, 1968. Readings from Scientific American.

* Tversky, Amos; Coombs, Clyde H.; and Dawes, Robyn M. Mathematical Psychology: An Elementary Introduction Englewood Cliffs, NJ: Prentice Hall, 1970.

Appl. to Social Sciences: Sociology

Beauchamp, Murray A. Elements of Mathematical Sociology Philadelphia, PA: Philadelphia Books, 1970.

** Berger, Joseph, et al. Types of Formalization in Small Group Research Boston, MA: Houghton Mifflin, 1962.

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

* Fararo, Thomas J. Mathematical Sociology: An Introduction to Fundamentals New York, NY: John Wiley, 1973.

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