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Lectures on Generating Functions Book

Lectures on Generating Functions
Lectures on Generating Functions, In combinatorics, one often considers the process of enumerating objects of a certain nature, which results in a sequence of positive integers. With each such sequence, one can associate a generating function, whose properties tell us a lot about the natu, Lectures on Generating Functions has a rating of 3.5 stars
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Lectures on Generating Functions, In combinatorics, one often considers the process of enumerating objects of a certain nature, which results in a sequence of positive integers. With each such sequence, one can associate a generating function, whose properties tell us a lot about the natu, Lectures on Generating Functions
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  • Lectures on Generating Functions
  • Written by author S. K. Lando
  • Published by American Mathematical Society, November 2003
  • In combinatorics, one often considers the process of enumerating objects of a certain nature, which results in a sequence of positive integers. With each such sequence, one can associate a generating function, whose properties tell us a lot about the natu
  • Originally published in Russian under the title Lektsii o proizvodiaschikh funktsiiakh, this book is based on a course given by the author at the College of Mathematics of the Independent University of Moscow. Coverage begins with definitions, simp
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Preface to the English Edition
Preface
Ch. 1Formal Power Series and Generating Functions. Operations with Formal Power Series, Elementary Generating Functions1
Ch. 2Generating Functions for Well-Known Sequences17
Ch. 3Unambiguous Formal Grammars. The Lagrange Theorem35
Ch. 4Analytic Properties of Functions Represented as Power Series and the Asymptotics of their Coefficients47
Ch. 5Generating Functions of Several Variables59
Ch. 6Partitions and Decompositions87
Ch. 7Dirichlet Generating Functions and the Inclusion-Exclusion Principle101
Ch. 8Enumeration of Embedded Graphs113
Final and Bibliographical Remarks143
Bibliography145
Index147


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Lectures on Generating Functions, In combinatorics, one often considers the process of enumerating objects of a certain nature, which results in a sequence of positive integers. With each such sequence, one can associate a generating function, whose properties tell us a lot about the natu, Lectures on Generating Functions

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Lectures on Generating Functions, In combinatorics, one often considers the process of enumerating objects of a certain nature, which results in a sequence of positive integers. With each such sequence, one can associate a generating function, whose properties tell us a lot about the natu, Lectures on Generating Functions

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Lectures on Generating Functions, In combinatorics, one often considers the process of enumerating objects of a certain nature, which results in a sequence of positive integers. With each such sequence, one can associate a generating function, whose properties tell us a lot about the natu, Lectures on Generating Functions

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