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gidm

A Gentle Introduction to Discrete Mathematics

A textbook for a junior or senior level course in Discrete Mathematics.

  1. Enumerative combinatorics a) multiplication and addition principles b) permutations c) combinations d) recursion e) generating functions
  2. Graph Theory a) complete, bipartite, multipartite, trees/forests b) Hamiltonian and Eulerian circuits (paths) c) coloring d) pebbling e) minimal spanning trees f) travelling salesman problem g) max flow min cut
  3. Discrete Geometry a) finite fields b) affine geometries c) projective geometries d) error-correcting codes e) combinatorial designs