Averbach, Bonnie and Chein, Orin., Mathematics: Problem Solving Through Recreational Mathematics, W. H. Freeman, 1980.
English, Lyn D., Mathematical Reasoning: Analogies, Metaphors, and Images, Lawrence Erlbaum Associates, 1997.
Polya, George, How To Solve It (2nd edition), Doubleday Anchor Books, 1957.
Polya, George, Mathematical Discovery, John Wiley, 1962.
Polya, George, Mathematics and Plausible Reasoning, Princeton University Press, 1954.
Schoenfeld, Alan H., Mathematical Problem Solving, Academic Press, 1985.
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Grimaldi, Ralph P., Discrete and Combinatorial Mathematics (3rd edition), Addison-Wesley, 1994.
Kir, George J. and Yuan, Bo, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice-Hall, 1995.
Pedrycz, Witold, Computational Intelligence: An Introduction, CRC Press, 1998.
Rosen, Kenneth H., Discrete Mathematics and Its Applications (4th edition), WCB/McGraw-Hill, 1999.
Schmucker, Kurt J., Fuzzy Sets, Natural Language Computations, and Risk Analysis, Computer Science Press, 1984.
Terano, Toshiro, Fuzzy Systems Theory and its Applications, Academic Press, 1992.
Zimmermann, Hans J., Fuzzy Set Theory and Its Applications (3rd edition), Kluwer Academic Publishers, 1996.
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Bochenski, Joseph M., Ancient Formal Logic, North-Holland, 1951.
Crevier, Daniel, AI: The Tumultuous History of the Search for Artificial Intelligence, Basic Books, 1993.
Fisher, Alec, The Logic of Real Arguments, Cambridge University Press, 1988.
Freedman, David, Brainmakers: How Scientist are Moving Beyond Computers to Create a Rival to the Human Brain, Simon and Schuster, 1994.
Gardner, Martin, Logic Machines, Diagrams, and Boolean Algebras, University of Chicago Press, 1982.
Guttenplan, Samuel D. and Martin Tamny, Logic: A Comprehensive Introduction, Basic Books, 1978.
Gyekye, Kwame, Arabic Logic, State University of New York Press, 1979.
Hurley, P. J., Concise Introduction to Logic, Belmont, 1988.
Jeffrey, R., Formal Logic: Its Scope and Limits (3rd edition), McGraw-Hill, 1991.
MacHale, Desmond, George Boole: His Life and Work, Boole Press, 1985.
Russell, Stuart J. and Peter Norvig, Artificial Intelligence: A Modern Approach, Prentice Hall, 1995.
Smith, G. C., The Boole-De Morgan Correspondence 1842-1864, Clarendon Press, 1982.
Tymoczko, T. and J. Henle, Sweet Reason: A Field Guide to Modern Logic, Freeman, 1995.
Wang, Hao, A Logical Journey: From Gödel to Philosophy, MIT Press, 1996.
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Biggs, Norman L., E. Keith Lloyd and Robin J. Wilson, Graph Theory, 1736-1936, Clarendon Press, 1976.
Chartrand, Gary, Graphs as Mathematical Models, Wadsworth Publishing, 1977.
Chartrand, Gary and O. R. Oellermann, Applied and Algorithmic Graph Theory, McGraw-Hill, 1993.
Christofides, Nicos, Graph Theory: An Algorithmic Approach, Academic Press, 1975.
Euler, Leonhard, "The Königsberg Bridges," translated by James Newman, Scientific American, 189 (1953), pp. 66-70.
Jensen, Tommy R. and Bjarne Toft, Graph Coloring Problems, Wiley, 1995.
Ore, Oystein, Theory of Graphs, American Mathematical Society, 1962.
Roberts, Fred S., Discrete Mathematical Models, with Applications to Social, Biological and Environmental Problems, Prentice-Hall, 1976.
Roberts, Fred S., Graph Theory and Its Applications to Problems of Society, Society for Industrial and Applied Mathematics, 1978.
Rosen, Kenneth H., Discrete Mathematics and Its Applications (4th edition), WCB/McGraw-Hill, 1999.
Wilson, Robin J., Introduction to Graph Theory, Academic Press (3rd edition), 1985.
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Balinski, Michel L. and H. Peyton Young, Fair Representation, Yale University Press, 1982.
Balinski, Michel L. and H. Peyton Young, "The Quota Method of Apportionment," American Mathematical Monthly, 82 (1975), pp. 701-703.
Brams, Steven and Alan Taylor, Fair Division, Cambridge University Press, 1996.
Brams, S. J., W. F. Lucas and P. D. Straffin, Jr. eds., Political and Related Models, Springer-Verlag, 1983.
Huntington, E. V., "The Apportionment of Representatives in Congress," Transactions of the American Mathematical Society, 30 (1928), pp. 85-110.
Meder, Albert E., Legislative Apportionment, Houghton Mifflin, 1966.
Saari, D. G., "Apportionment Methods and the House of Representatives," American Mathematical Monthly," 85 (1978), pp. 792-802.
Steen, Lynn A., "The Arithmetic of Apportionment," Science News 121:19 (May 8, 1982), pp. 317-318.
Steinhaus, Hugo, Mathematical Snapshots, Oxford University Press, 1969.
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Arrow, Kenneth J., Social Choice and Individual Values, Wiley, 1963.
Brams, Steven J., Game Theory and Politics, Free Press, 1975.
Brams, Steven J. and Peter C. Fishburn, Approval Voting, Birkhäuser, 1982.
Brams, S. J., W. F. Lucas and P. D. Straffin, Jr. eds., Political and Related Models, Springer-Verlag, 1983.
Fishburn, Peter C. and Steven J. Brams, "Paradoxes of Preferential Voting," Mathematics Magazine, 56 (1983), pp. 207-214.
Kelly, Jerry S., Social Choice Theory, Springer-Verlag, 1988.
Martin Gardner, "From Counting Votes to Making Votes Count: The Mathematics of Elections," Scientific American, 243 (October 1980), pp. 16-26.
Merrill, Samuel, Making Multicandidate Elections More Democratic, Princeton University Press, 1988.
Riker, William H., The Art of Political Manipulation, Yale University Press, 1986.
Saari, Donald G., The Geometry of Voting, Springer-Verlag, 1994.
Saari, Donald G., Chaotic Elections! A Mathematician Looks at Voting, American Mathematical Society, 2001.
Taylor, Alan, Mathematics and Politics: Strategy, Voting, Power and Proof, Springer-Verlag, 1995.
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Chatzky, Jean Sherman, Talking Money: Everything You Need to Know About Your Finances and Your Future, Warner Books, 2001.
Davies, Glyn and Julian Hodge Bank, A History of Money: From Ancient Times to the Present Day, University of Wales Press, 1994.
Homer, Sidney and Richard Sylla, A History of Interest Rates, Rutgers University Press, 1996.
Money Magazine's 100 Steps to Wealth, JMJHI, 1997.
Slater, Jeffrey, Practical Business Math Procedures (6th edition), Irwin/McGraw-Hill, 2000.
Weatherford, J. McIver, The History of Money: From Sandstone to Cyberspace, Crown Publishers, 1997.
In addition to the above books, the following publications provide current financial information.
Money Magazine |
Anderson, M. J. and S. E. Fienberg, Who Counts? The Politics of Census-Taking in Contemporary America, The Russell Sage Foundation, 1999.
Asher, Herbert B., Polling and the Public: What Every Citizen Should Know (4th edition), CQ Press, 1998.
Bradburn, Norman M. and Seymour Sudman, Polls and Surveys: Understanding What They Tell Us, Jossey-Bass, 1988.
Crossen, Cynthia, Tainted Truths: The Manipulation of Fact in America, Simon and Schuster, 1994.
Henry, Gary T., Practical Sampling, Sage Publications, 1990.
Kalton, Graham, Introduction to Survey Sampling, Sage Publications, 1983.
Lavrakas, Paul J., Telephone Survey Methods, Sage Publications, 1993.
Levy, Paul S. and Stanley Lemeshow, Sampling of Populations, Wiley, 1991.
Mosteller, F., et al., The Pre-election Polls of 1948, Social Science Research Council, 1949.
Walden, Graham R., Public Opinion Polls and Survey Research, Garland, 1990.
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Chief of the Bureau of Statistics, Treasury Department, The Statistical Abstract of the United States, Government Printing Office, 1879-present.
Gastwirth, Joseph L., Statistical Reasoning in Law and Public Policy, Academic Press, 1988.
Gonick, Larry and Woollcott Smith, The Cartoon Guide to Statistics, Harper Collins, 1993.
Greer, Donald, The Incidence of the Terror During the French Revolution: A Statistical Interpretation, P. Smith, 1966.
Hald, Anders, A History of Probability and Statistics and Their Applications Before 1750, Wiley, 1990.
Huff, Darrell, How to Lie with Statistics, Norton, 1993.
Jacoby, Russell and Naomi Glauberman (eds.) The Bell Curve Debate, Times Books, 1995.
Kimble, Gregory A., How to Use (and Misuse) Statistics, Prentice-Hall, 1978.
Moore, David, Statistics: Concepts and Controversies, Freeman, 1997.
Paulos, John, Innumeracy, Hill and Wang, 1988.
Phillips, John L., How to Think About Statistics, Freeman, 1992.
Seymer, Lucy R., Florence Nightingale, MacMillan, 1951.
Stigler, Stephen, The History of Statistics, Harvard University Press, 1986.
Tamur, J. M. (ed.), Statistics: A Guide to the Unknown, Wadsworth and Brooks/Cole, 1989.
Tufte, Edward R., The Visual Display of Quantitative Information, Graphics Press, 1983.
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Epstein, Richard A., The Theory of Gambling and Statistical Logic, Academic Press, 1995.
Grimaldi, Ralph P., Discrete and Combinatorial Mathematics (3rd edition), Addison-Wesley, 1994.
Hald, Anders, A History of Probability and Statistics and Their Applications before 1750, Wiley-Interscience, 1990.
Isaac, Richard, The Pleasures of Probability, Springer-Verlag, 1995.
King, Amy C. and Cecil B. Read, Pathways to Probability, Holt, Rinehart and Winston, 1963.
Krantz, Les, What the Odds Are, HarperCollins, 1992.
McGervey, John D., Probabilities in Everyday Life, Ivy Books, 1986.
Olkin, Ingram, Leon Gleser and Cyrus Derman, Probability Models and Applications (2nd edition), Macmillan, 1994.
Packel, Edward, The Mathematics of Games and Gambling, Mathematical Association of America, 1981.
Rosen, Kenneth H., Discrete Mathematics and Its Applications (4th edition), WCB/McGraw-Hill, 1999.
Scarne, John, Scarne's Complete Guide to Gambling, Simon and Schuster, 1961.
Stern, Curt and Eva Sherwood (eds.), The Origin of Genetics: A Mendel Source Book, Freeman, 1966.
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Bouvier, Leon F. and Lindsey Grant, How Many Americans?: Population, Immigration, and the Environment, Sierra Club Books, 1994.
Brown, Lester Russell, Full House: Reassessing the Earth's Population Carrying Capacity, 1994.
Daugherty, Helen Ginn and Kenneth C. W. Kammeyer, An Introduction to Population (2nd edition), The Guilford Press, 1995.
Devaney, Robert L., A First Course in Chaotic Dynamical Systems: Theory and Experiment, Addison-Wesley, 1992.
Johnson, Stanley, World Population, Turning the Tide, Kluwer Law International, 1994.
Mann, Jonathan M., AIDS in the World, Harvard University Press, 1992.
Sandefur, James, Discrete Dynamical Systems: Theory and Applications, Oxford University Press, 1990.
Swerdlow, Joel, "Population," National Geographic, (October, 1998) pp. 2-350.
Terborgh, John, Diversity and the Tropical Rain Forest, Scientific American Library, 1992.
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Bix, Robert, Topics in Geometry, Academic Press, 1994.
Greenberg, Marvin, Euclidean and Non-Euclidean Geometries (3rd edition), Freeman, 1993.
Grunbaum, Branko and G. C. Shepard, Tilings and Patterns: An Introduction, Freeman, 1989.
Hofstadter, Douglas, Gödel, Escher, Bach: An Eternal Golden Braid, Vintage Books, 1980.
Kappraff, Jay, Connections: The Geometric Bridge Between Art and Science, McGraw-Hill, 1991.
Klarner, David (ed.), The Mathematical Gardner, Prindle, Weber & Schmidt, 1981.
Mandelbrot, Benoit, The Fractal Geometry of Nature, Freeman, 1983.
O'Daffer, Phares and Stanley Clemens, Geometry: An Investigative Approach, Addison-Wesley, 1992.
Peitgen, H. O. and D. Saupe (eds.), The Science of Fractal Images, Springer-Verlag, 1988.
Peitgen, H. O., H. Jurgens and D. Saupe, Chaos and Fractals: New Frontiers of Science, Springer-Verlag, 1992.
Peitgen, H. O., H. Jurgens and D. Saupe, Fractals for the Classroom, Springer-Verlag, 1992.
Peitgen, H. O. and P. H. Richter, The Beauty of Fractals, Springer-Verlag, 1986.
Prusinkiewicz, P. and A. Lindenmayer, The Algorithmic Beauty of Plants, Springer-Verlag, 1990.
Schattsneider, Doris, Visions of Symmetry: Notebooks, Periodic Drawings, and Related Work of M. C. Escher, Freeman, 1990.
Seymour, Dale and Jill Britton, Introduction to Tessellations, Dale Seymour, 1989.
Weyl, Hermann, Symmetry, Princeton University Press, 1952.
Yale, Paul B., Geometry and Symmetry, Holden-Day, 1968.
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Bradley, Ian G. and Ronald L. Meek, Matrices and Society, Princeton University Press, 1986.
Caswell, Hal, Matrix Population Models, Sinauer Associates, 2001.
Foley, James D., et. al., Computer Graphics: Principles and Practice, Addison-Wesley, 1992.
Froelich, Gary W., Kevin G. Bartkovich, and Paul A. Foerster, Connecting Mathematics, National Council of Teachers of Mathematics, 1991.
Hadi, Ali S., Matrix Algebra as a Tool, Duxbury Press, 1996.
Lay, David C., Linear Algebra and Its Applications, Addison-Wesley, 1997.
Mortenson, Michael, E., Geometric Transformations, Industrial Press, 1995.
Mortenson, Michael, E., Mathematics for Computer Graphics Applications, Industrial Press, 1999.
Watt, Alan H., 3D Computer Graphics, Addison-Wesley, 1993.
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