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  2. Combinatorics: The Rota Way - Wikipedia

    en.wikipedia.org/wiki/Combinatorics:_The_Rota_Way

    Combinatorics: The Rota Way is too advanced for undergraduates, but could be used as the basis for one or more graduate-level mathematics courses. [6] However, even as a practicing mathematician in combinatorics, reviewer Jennifer Quinn found the book difficult going, despite the many topics of interest to her that it covered.

  3. Analytic Combinatorics (book) - Wikipedia

    en.wikipedia.org/wiki/Analytic_Combinatorics_(book)

    The main part of the book is organized into three parts. The first part, covering three chapters and roughly the first quarter of the book, concerns the symbolic method in combinatorics, in which classes of combinatorial objects are associated with formulas that describe their structures, and then those formulas are reinterpreted to produce the generating functions or exponential generating ...

  4. Combinatorics - Wikipedia

    en.wikipedia.org/wiki/Combinatorics

    Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures.It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science.

  5. Ars Conjectandi - Wikipedia

    en.wikipedia.org/wiki/Ars_Conjectandi

    This early version of the law is known today as either Bernoulli's theorem or the weak law of large numbers, as it is less rigorous and general than the modern version. [ 27 ] After these four primary expository sections, almost as an afterthought, Bernoulli appended to Ars Conjectandi a tract on calculus , which concerned infinite series . [ 16 ]

  6. Twelvefold way - Wikipedia

    en.wikipedia.org/wiki/Twelvefold_way

    In combinatorics, the twelvefold way is a systematic classification of 12 related enumerative problems concerning two finite sets, which include the classical problems of counting permutations, combinations, multisets, and partitions either of a set or of a number.

  7. Using the Borsuk–Ulam Theorem - Wikipedia

    en.wikipedia.org/wiki/Using_the_Borsuk–Ulam...

    The topic of the book is part of a relatively new field of mathematics crossing between topology and combinatorics, now called topological combinatorics. [2] [3] The starting point of the field, [3] and one of the central inspirations for the book, was a proof that László Lovász published in 1978 of a 1955 conjecture by Martin Kneser, according to which the Kneser graphs +, have no graph ...

  8. Algorithmic Combinatorics on Partial Words - Wikipedia

    en.wikipedia.org/wiki/Algorithmic_Combinatorics...

    Although Algorithmic Combinatorics on Partial Words is primarily aimed at the graduate level, reviewer Miklós Bóna writes that it is for the most part "remarkably easy to read" and suggests that it could also be read by advanced undergraduates. However, Bóna criticizes the book as being too focused on the combinatorics on words as an end in ...

  9. Combinatorics, Probability and Computing - Wikipedia

    en.wikipedia.org/wiki/Combinatorics,_Probability...

    The journal covers combinatorics, probability theory, and theoretical computer science.Currently, it publishes six issues annually. As with other journals from the same publisher, it follows a hybrid green/gold open access policy, in which authors may either place copies of their papers in an institutional repository after a six-month embargo period, or pay an open access charge to make their ...