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MAA Reviews
Discrete Mathematics
Discrete Mathematics: Discrete Mathematics
* Albertson, Michael O. and Hutchinson, Joan P. Discrete Mathematics with Algorithms New York, NY: John Wiley, 1988.
* Althoen, Steven C. and Bumcrot, Robert J. Introduction to Discrete Mathematics Boston, MA: PWS-Kent, 1988.
* Biggs, Norman L. Discrete Mathematics, New York, NY: Clarendon Press, 1985, 1989. Revised Edition.
* Bogart, Kenneth P. Discrete Mathematics Lexington, MA: D.C. Heath, 1988.
Doerr, Alan and Levasseur, Kenneth. Applied Discrete Structures for Computer Science Chicago, IL: Science Research Association, 1985.
Dossey, John A., et al. Discrete Mathematics Glenview, IL: Scott Foresman, 1986.
* Epp, Susanna S. Discrete Mathematics with Applications Belmont, CA: Wadsworth, 1990.
Finkbeiner, Daniel T. and Lindstrom, Wendell D. A Primer of Discrete Mathematics New York, NY: W.H. Freeman, 1987.
* Gerstein, Larry J. Discrete Mathematics and Algebraic Structures New York, NY: W.H. Freeman, 1987.
Grimaldi, Ralph P. Discrete and Combinatorial Mathematics: An Applied Introduction, Reading, MA: Addison-Wesley, 1989. Second Edition.
* Johnsonbaugh, Richard. Discrete Mathematics, New York, NY: Macmillan, 1990. Second Edition.
** Maurer, Stephen B. and Ralston, Anthony. Discrete Algorithmic Mathematics Reading, MA: Addison-Wesley, 1991.
McEliece, Robert J.; Ash, Robert B.; and Ash, Carol. Introduction to Discrete Mathematics Cambridge, MA: Random House, 1989.
Nicodemi, Olympia. Discrete Mathematics: A Bridge to Computer Science and Advanced Mathematics St.~Paul, MN: West, 1987.
Polimeni, Albert D. and Straight, H. Joseph. Foundations of Discrete Mathematics, Pacific Grove, CA: Brooks/Cole, 1985, 1990. Second Edition.
Prather, Ronald. Elements of Discrete Mathematics Boston, MA: Houghton Mifflin, 1986.
* Roman, Steven. An Introduction to Discrete Mathematics, San Diego, CA: Harcourt Brace Jovanovich, 1989. Second Edition.
Rosen, Kenneth H. Discrete Mathematics and its Applications Cambridge, MA: Random House, 1988.
** Ross, Kenneth A. and Wright, Charles R.B. Discrete Mathematics, Englewood Cliffs, NJ: Prentice Hall, 1985, 1988. Second Edition.
Discrete Mathematics: Finite Mathematics
* Anton, Howard; Kolman, Bernard; and Averbach, Bonnie. Applied Finite Mathematics, New York, NY: Academic Press, 1982, 1988. Fourth Edition.
* Bittinger, Marvin L. and Crown, J. Conrad. Finite Mathematics Reading, MA: Addison-Wesley, 1989.
Cozzens, Margaret B. and Porter, Richard D. Mathematics and Its Applications to Management, Life, and Social Sciences With Finite and Discrete Mathematics Lexington, MA: D.C. Heath, 1987.
* Davis, Morton D. The Art of Decision-Making New York, NY: Springer-Verlag, 1986.
Farlow, Stanley J. and Haggard, Gary M. Finite Mathematics and Its Applications Cambridge, MA: Random House, 1988.
** Goldstein, Larry J.; Schneider, David I.; and Siegel, Martha J. Finite Mathematics and Its Applications, Englewood Cliffs, NJ: Prentice Hall, 1984, 1991. Fourth Edition.
Hoenig, Alan. Applied Finite Mathematics New York, NY: McGraw-Hill, 1990.
*** Kemeny, John G.; Snell, J. Laurie; and Thompson, Gerald L. Introduction to Finite Mathematics, Englewood Cliffs, NJ: Prentice Hall, 1974. Third Edition.
* Maki, Daniel P. and Thompson, Maynard. Finite Mathematics, New York, NY: McGraw-Hill, 1978, 1989. Third Edition.
Malkevitch, Joseph and Meyer, Walter. Graphs, Models, and Finite Mathematics Englewood Cliffs, NJ: Prentice Hall, 1974.
Smith, Karl J. Finite Mathematics, Pacific Grove, CA: Brooks/Cole, 1988. Second Edition.
Spence, Lawrence E.; Vanden Eynden, Charles; and Gallin, Daniel. Finite Mathematics Glenview, IL: Scott Foresman, 1990.
* Tan, S.T. Applied Finite Mathematics, Boston, MA: Prindle, Weber and Schmidt, 1983, 1990. Third Edition.
Discrete Mathematics: Introductory Combinatorics
* Anderson, Ian. A First Course in Combinatorial Mathematics New York, NY: Oxford University Press, 1974.
Berge, Claude. Principles of Combinatorics New York, NY: Academic Press, 1971.
Bogart, Kenneth P. Introductory Combinatorics, San Diego, CA: Harcourt Brace Jovanovich, 1990. Second Edition.
Bose, R.C. and Manvel, B. Introduction to Combinatorial Theory New York, NY: John Wiley, 1984.
** Brualdi, Richard A. Introductory Combinatorics, Amsterdam: North-Holland, 1977, 1991. Second Edition.
* Cohen, Daniel I.A. Basic Techniques of Combinatorial Theory New York, NY: John Wiley, 1978.
*** Graham, Ronald L.; Knuth, Donald E.; and Patashnik, Oren. Concrete Mathematics: A Foundation for Computer Science Reading, MA: Addison-Wesley, 1989.
* Hillman, Abraham P.; Alexanderson, Gerald L.; and Grassl, Richard M. Discrete and Combinatorial Mathematics San Francisco, CA: Dellen, 1987.
Jackson, Brad and Thoro, Dmitri. Applied Combinatorics with Problem Solving Reading, MA: Addison-Wesley, 1990.
* Liu, C.L. Introduction to Applied Combinatorial Mathematics New York, NY: McGraw-Hill, 1968.
*** Niven, Ivan M. Mathematics of Choice or How to Count Without Counting Washington, DC: Mathematical Association of America, 1975.
Page, E.S. and Wilson, L.B. An Introduction to Computational Combinatorics New York, NY: Cambridge University Press, 1979.
** Roberts, Fred S. Applied Combinatorics Englewood Cliffs, NJ: Prentice Hall, 1984.
** Stanton, Dennis and White, Dennis. Constructive Combinatorics New York, NY: Springer-Verlag, 1986.
** Tucker, Alan. Applied Combinatorics New York, NY: John Wiley, 1980, 1984.
Discrete Mathematics: Advanced Combinatorics
Aigner, Martin. Combinatorial Search New York, NY: John Wiley, 1988.
Aigner, Martin. Combinatorial Theory New York, NY: Springer-Verlag, 1979.
** Anderson, Ian. Combinatorics of Finite Sets New York, NY: Oxford University Press, 1987.
* Anderson, Ian. Combinatorial Designs: Construction Methods New York, NY: Ellis Horwood, 1990.
Bollobas, Bela. Combinatorics: Set Systems, Hypergraphs, Families of Vectors, and Combinatorial Probability New York, NY: Cambridge University Press, 1986.
Brualdi, Richard A. and Ryser, H.J. Combinatorial Matrix Theory New York, NY: Cambridge University Press, 1991.
** Conway, John Horton. On Numbers and Games New York, NY: Academic Press, 1976.
* Denes, J. and Keedwell, A.D. Latin Squares and Their Applications New York, NY: Academic Press, 1974.
* Erd os, P. and Spencer, Joel H. Probability Methods in Combinatorics New York, NY: Academic Press, 1974.
Goulden, I.P. and Jackson, D.M. Combinatorial Enumeration New York, NY: John Wiley, 1983.
** Graham, Ronald L.; Rothschild, Bruce L.; and Spencer, Joel H. Ramsey Theory, New York, NY: John Wiley, 1980, 1990. Second Edition.
Greene, Daniel H. and Knuth, Donald E. Mathematics for the Analysis of Algorithms, New York, NY: Birkhauser, 1981, 1990. Third Edition.
Gusfield, Dan and Irving, Robert W. The Stable Marriage Problem: Structure and Algorithms Cambridge, MA: MIT Press, 1989.
* Hall, Marshall, Jr. Combinatorial Theory, New York, NY: John Wiley, 1986. Second Edition.
*** Lovasz, Laszlo. Combinatorial Problems and Exercises Amsterdam: North-Holland, 1979.
Lovasz, Laszlo. An Algorithmic Theory of Numbers, Graphs, and Convexity Philadelphia, PA: Society for Industrial and Applied Mathematics, 1986.
Polya, George and Read, Ronald C. Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds New York, NY: Springer-Verlag, 1987.
Polya, George; Tarjan, Robert E.; and Woods, Donald R. Notes on Introductory Combinatorics New York, NY: Birkhauser, 1983.
Ray-Chaudhuri, D.K., ed. Relations Between Combinatorics and Other Parts of Mathematics Providence, RI: American Mathematical Society, 1979.
Riordan, John. Combinatorial Identities New York, NY: John Wiley, 1968.
Riordan, John. An Introduction to Combinatorial Analysis Princeton, NJ: Princeton University Press, 1978.
Rota, Gian-Carlo, ed. Studies in Combinatorics Washington, DC: Mathematical Association of America, 1978.
*** Ryser, H.J. Combinatorial Mathematics Washington, DC: Mathematical Association of America, 1963.
** Stanley, Richard P. Enumerative Combinatorics, Belmont, CA: Wadsworth, 1986.
* Street, Anne P. and Street, Deborah J. Combinatorics of Experimental Design New York, NY: Clarendon Press, 1987.
Tomescu, Ioan. Problems in Combinatorics and Graph Theory New York, NY: John Wiley, 1985.
* Vilenkin, N. Ya. Combinatorics New York, NY: Academic Press, 1971.
Wallis, W.D. Combinatorial Designs New York, NY: Marcel Dekker, 1988.
Discrete Mathematics: Graph Theory
Barnette, David. Map Coloring, Polyhedra, and the Four-Color Problem Washington, DC: Mathematical Association of America, 1983.
Beineke, Lowell W. and Wilson, Robin J., eds. Selected Topics in Graph Theory, New York, NY: Academic Press, 1978--88. 3 Vols.
Berge, Claude. Hypergraphs: Combinatorics of Finite Sets Amsterdam: North-Holland, 1989.
* Berge, Claude. Graphs, New York, NY: Elsevier Science, 1985. Second Revised Edition.
Biggs, Norman L. Algebraic Graph Theory New York, NY: Cambridge University Press, 1974.
** Biggs, Norman L.; Lloyd, E. Keith; and Wilson, Robin J. Graph Theory, 1736--1936 New York, NY: Oxford University Press, 1986.
Bollobas, Bela. Random Graphs New York, NY: Academic Press, 1985.
* Bollobas, Bela. Graph Theory: An Introductory Course New York, NY: Springer-Verlag, 1979.
*** Bondy, J. Adrian and Murty, U.S.R. Graph Theory with Applications New York, NY: American Elsevier, 1976.
Buckley, Fred and Harary, Frank. Distance in Graphs Reading, MA: Addison-Wesley, 1990.
* Capobianco, M. and Molluzzo, J. Examples and Counterexamples in Graph Theory Amsterdam: North-Holland, 1978.
*** Chartrand, Gary and Lesniak, Linda. Graphs Digraphs, Belmont, CA: Wadsworth, 1986. Second Edition.
* Chartrand, Gary. Introductory Graph Theory Mineola, NY: Dover, 1985. (Former title: Graphs as Mathematical Models.)
* Fulkerson, D.R., ed. Studies in Graph Theory Washington, DC: Mathematical Association of America, 1975.
Gibbons, Alan. Algorithmic Graph Theory New York, NY: Cambridge University Press, 1985.
** Gould, Ronald. Graph Theory Redwood City, CA: Benjamin Cummings, 1988.
Gross, Jonathan L. and Tucker, Thomas W. Topological Graph Theory New York, NY: John Wiley, 1987.
Harary, Frank. Graph Theory Reading, MA: Addison-Wesley, 1969.
Hartsfield, Nora and Ringel, Gerhard. Pearls in Graph Theory: A Comprehensive Introduction New York, NY: Academic Press, 1990.
Konig, Denes. Theory of Finite and Infinite Graphs New York, NY: Birkhauser, 1990.
* Lovasz, Laszlo and Plummer, M. Matching Theory Amsterdam: North-Holland, 1986.
* Ore, Oystein. Graphs and Their Uses Washington, DC: Mathematical Association of America, 1963, 1990.
* Palmer, Edgar M. Graphical Evolution: An Introduction to the Theory of Random Graphs New York, NY: John Wiley, 1985.
* Saaty, Thomas L. and Kainen, Paul C. The Four-Color Problem: Assaults and Conquest New York, NY: McGraw-Hill, 1977.
Steinbach, Peter. Field Guide to Simple Graphs Albuquerque, NM: Design Lab, 1990.
Trudeau, Richard J. Dots and Lines Kent, OH: Kent State University Press, 1976.
Tutte, W.T. Graph Theory Reading, MA: Addison-Wesley, 1984.
White, Arthur T. Graphs, Groups and Surfaces New York, NY: Elsevier Science, 1984.
** Wilson, Robin J. and Watkins, J. Graphs: An Introductory Approach New York, NY: John Wiley, 1990.
Discrete Mathematics: Coding Theory
Beker, Henry and Piper, Fred. Cipher Systems: The Protection of Communications New York, NY: John Wiley, 1982.
Blahut, Richard E. Theory and Practice of Error Control Codes Reading, MA: Addison-Wesley, 1983.
Blake, Ian F. and Mullin, Ronald C. An Introduction to Algebraic and Combinatorial Coding Theory New York, NY: Academic Press, 1976.
Brassard, Gilles. Modern Cryptology: A Tutorial New York, NY: Springer-Verlag, 1988.
Cameron, P.J. and van Lint, J.H. Graphs, Codes and Designs New York, NY: Cambridge University Press, 1980.
Goppa, V.D. Geometry and Codes Norwell, MA: Kluwer Academic, 1988.
** Hamming, Richard W. Coding and Information Theory, Englewood Cliffs, NJ: Prentice Hall, 1986. Second Edition.
* Hill, Raymond. A First Course in Coding Theory New York, NY: Clarendon Press, 1986.
Konheim, Alan G. Cryptography: A Primer New York, NY: John Wiley, 1981.
** MacWilliams, F.J. and Sloane, N.J.A. The Theory of Error-Correcting Codes Amsterdam: North-Holland, 1977.
* Peterson, W. Wesley and Weldon, E.J., Jr. Error-Correcting Codes, Cambridge, MA: MIT Press, 1961, 1972. Second Edition.
*** Pless, Vera. Introduction to the Theory of Error-Correcting Codes, New York, NY: John Wiley, 1982, 1989. Second Edition.
Sloane, N.J.A. A Short Course on Error Correcting Codes New York, NY: Springer-Verlag, 1975.
*** Thompson, Thomas M. From Error-Correcting Codes Through Sphere Packings to Simple Groups Washington, DC: Mathematical Association of America, 1983.
* Welsh, Dominic. Codes and Cryptography New York, NY: Clarendon Press, 1988.
Discrete Mathematics: Special Topics
Beth, Thomas; Jungnickel, Dieter; and Lenz, Hanfried. Design Theory New York, NY: Cambridge University Press, 1986.
Davey, B.A. and Priestley, H.A. Introduction to Lattices and Order New York, NY: Cambridge University Press, 1990.
** Goldberg, Samuel I. Introduction to Difference Equations Mineola, NY: Dover, 1986.
Gratzer, George. General Lattice Theory New York, NY: Academic Press, 1978.
* Mickens, Ronald E. Difference Equations New York, NY: Van Nostrand Reinhold, 1987.
* Welsh, D.J.A. Matroid Theory New York, NY: Academic Press, 1976.
White, Neil, ed. Theory of Matroids New York, NY: Cambridge University Press, 1986.
** Wilf, Herbert S. Generating Functionology New York, NY: Academic Press, 1990.