Foundations of Combinatorics
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Foundations of Combinatorics

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The field of mathematics that primarily deals with counting is known as combinatorics. It is used as a means and an end in obtaining results and in studying properties of finite structures. It addresses the problems of enumeration, construction, existence and optimization of these structures. The discipline has many sub-fields. Some of these are analytic combinatorics, extremal combinatorics, enumerative combinatorics, probabilistic and algebraic combinatorics. Coding theory, discrete and computational geometry, combinatorics and physics, combinatorics and dynamical systems, and combinatorial ...