TY - BOOK AU - Aigner, Martin AU - Aigner, Martin TI - A Course in Enumeration T2 - Graduate texts in mathematics, 238 SN - 9788132206712 U1 - 511.62 AIG PY - 2007/// CY - New York PB - : Springer KW - Mathematics KW - General principles of mathematics KW - Combinatorial enumeration problems KW - Problèmes combinatoires d'énumération KW - Combinatieleer N1 - Introduction -- Basics -- Fundamental coefficients -- Formal series and infinite matrices -- Methods -- Generating functions -- Hypergeometric summation -- Sieve methods -- Enumeration of patterns -- Topics -- The Catalan connection -- Symmetric functions -- Counting polynomials -- Models from statistical Physics N2 - "This book leads the reader from the basic notations to a variety of topics in combinatorial enumeration, ranging from algebra to statistical physics. Its aim is to introduce the student to a fascinating field, and to be a source of information for the professional mathematician who wants to learn more about the subject. There are 666 exercises, and as a special feature every chapter ends with a highlight, discussing a particularly beautiful or famous result."--Jacket ER -