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Analytic Combinatorics | FreeTechBooks.com (619 words) |
 | Analytic Combinatorics aims at predicting precisely the properties of large structured combinatorial configurations, through an approach based extensively on analytic methods. |
| Analytic Combinatorics starts from an exact enumerative description of combinatorial structures by means of generating functions, which make their first appearance as purely formal algebraic objects. |
| With a view of addressing not only mathematicians of varied profiles but also scientists of other disciplines, Analytic Combinatorics is self contained, including ample appendices that recapitulate the necessary background in combinatorics and complex function theory. |
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combinatorics: Definition and Much More from Answers.com (2851 words) |
| Combinatorics is a branch of mathematics that studies collections (usually finite) of objects that satisfy specified criteria. |
| Combinatorics is as much about problem solving as theory building, though it has developed powerful theoretical methods, especially since the later twentieth century. |
| Modern combinatorics began developing in the late 19th century and became a distinguishable field of study in the 20th century, partly through the publication of the systematic enumerative treatise Combinatory Analysis by Percy Alexander MacMahon in 1915 and the work of R.A. Fisher in design of experiments in the 1920s. |
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