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Discrete Mathematics
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Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.
Contents
Discrete Mathematics
advanced
/Introduction/
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Introductory discrete mathematics
/Set theory/
/Functions and relations/
/Number theory/
/Logic/
/Enumeration/
/Graph theory/
/Recursion/
/Semigroup/
Upper-level discrete mathematics
Upper-level set theory
/Axiomatic set theory/
/Zermelo-Frankel Axioms/
/Topoi/
Upper-level number theory
/Number representations/
/Modular arithmetic/
/Polynomials/
/Finite fields/
/Arithmetic Functions/
/Analytic Number Theory/
Upper-level logic
/Godel's incompleteness theorem/
/Second order logic/
Upper-level Combinatorics
Abstract algebra
Abstract algebraic systems
Groups
Lattice theory
Matroids
Boolean algebra
Category theory
Algebra over other number systems
Hypercomplex numbers
Rings, fields and modules
Automata
/Finite state automata/
/Pushdown automata/
/Turing machines/
/Cellular automata/
Further problems
/Selected problems/
Unordered pages
/Combinatory logic/
/Languages and grammars/
/Axiom of choice/
/Naive set theory/
/Sieve of Eratosthenes/
Discrete mathematics University level mathematics books
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