Search results
Results from the WOW.Com Content Network
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.
From 2000 to 2010, he was the Norman Levinson Professor of Applied Mathematics. [1] He received his Ph.D. at Harvard University in 1971 under the supervision of Gian-Carlo Rota . [ 2 ] He is an expert in the field of combinatorics and its applications to other mathematical disciplines.
Algorithms and Combinatorics (ISSN 0937-5511) is a book series in mathematics, and particularly in combinatorics and the design and analysis of algorithms. It is published by Springer Science+Business Media , and was founded in 1987.
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 ]
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 ...
Combinatorics, a MathWorld article with many references. Combinatorics, from a MathPages.com portal. The Hyperbook of Combinatorics, a collection of math articles links. The Two Cultures of Mathematics by W. T. Gowers, article on problem solving vs theory building
Combinatory logic is a notation to eliminate the need for quantified variables in mathematical logic.It was introduced by Moses Schönfinkel [1] and Haskell Curry, [2] and has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages.
Combinatorics is a branch of mathematics that studies finite collections of objects that satisfy specified criteria, and is in particular concerned with "counting" the objects in those collections (enumerative combinatorics) and with deciding whether certain "optimal" objects exist (extremal combinatorics).