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The branch of mathematics which does not involve infinite sets, limits, or continuity.
See also Combinatorics, Discrete Mathematics
References
 
Hildebrand, F. H. and Johnson, C. G.  Finite Mathematics.  Boston, MA: Prindle, Weber, and Schmidt, 1970.
 
Kemeny, J. G.; Snell, J. L.; and Thompson, G. L.  Introduction to Finite Mathematics, 3rd ed.
  Englewood Cliffs, NJ: Prentice-Hall, 1974.
 
Marcus, M.  A Survey of Finite Mathematics.  New York: Dover, 1993.
 
 Finite Mathematics