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Mathematicians sometimes use the term "combinatorics" to refer to a larger subset of discrete mathematics that includes graph theory. In that case, what is commonly called combinatorics is then referred to as " enumeration. Abramowitz, M. New York: Dover, pp.

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Aigner, M. Combinatorial Theory. New York: Springer-Verlag, Balakrishnan, V. New York: McGraw-Hill, Bellman, R. Combinatorial Analysis. Berge, C. Principles of Combinatorics. New York: Academic Press, Bergeron, F. Combinatorial Species and Tree-Like Structures.

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Cambridge, England: Cambridge University Press, Biggs, N. Bose, R. Introduction to Combinatorial Theory. New York: Wiley, Cameron, P.

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Combinatorics: Topics, Techniques, Algorithms. New York: Cambridge University Press, Cohen, D. Basic Techniques of Combinatorial Theory. Colbourn, C. Comtet, L. Dordrecht, Netherlands: Reidel, Coolsaet, K. Dinitz, J.

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Eisen, M. Elementary Combinatorial Analysis. New York: Gordon and Breach, Electronic Journal of Combinatorics. Eppstein, D. Probabilistic Methods in Combinatorics. Erickson, M. Introduction to Combinatorics. Fields, J. Gardner, M.

Godsil, C. Combinatorics 2 , No. Graham, R.

Recreational Mathematics - Theory of Combinatorial Games Workshop | Department of Mathematics

Handbook of Combinatorics, 2 vols. Reading, MA: Addison-Wesley, Grimaldi, R. Longman, Hall, M. Combinatorial Theory, 2nd ed. Knuth, D. Providence, RI: Amer. Kreher, D.

Combinatorial Algorithms: Generation, Enumeration, and Search. Combinatorial Algorithms. Bristol, England: Adam Hilger, Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics. Holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.

Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis. Dynamics of differential equations and flows, mechanics, classical few-body problems, iterations, complex dynamics, delayed differential equations.

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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory. Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties. Manifolds, orbifolds, polyhedra, cell complexes, foliations, geometric structures. Finite groups, topological groups, representation theory, cohomology, classification and structure. Biographies, philosophy of mathematics, mathematics education, recreational mathematics, communication of mathematics.

IT is an alias for cs. Covers theoretical and experimental aspects of information theory and coding. Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras. MP is an alias for math-ph. Mathematical methods in quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics. Euclidean, hyperbolic, discrete, convex, coarse geometry, comparisons in Riemannian geometry, symmetric spaces. Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory.