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MAA Reviews
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.