Lectures On Generating Functions

Download Lectures On Generating Functions full books in PDF, epub, and Kindle. Read online free Lectures On Generating Functions ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Lectures on Generating Functions

Lectures on Generating Functions
Author :
Publisher : American Mathematical Soc.
Total Pages : 170
Release :
ISBN-10 : 9780821834817
ISBN-13 : 0821834819
Rating : 4/5 (819 Downloads)

Book Synopsis Lectures on Generating Functions by : Sergei K. Lando

Download or read book Lectures on Generating Functions written by Sergei K. Lando and published by American Mathematical Soc.. This book was released on 2003-10-21 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 nature of the objects being enumerated. Nowadays, the language of generating functions is the main language of enumerative combinatorics. This book is based on the course given by the author at the College of Mathematics of the Independent University of Moscow. It starts with definitions, simple properties, and numerous examples of generating functions. It then discusses various topics, such as formal grammars, generating functions in several variables, partitions and decompositions, and the exclusion-inclusion principle. In the final chapter, the author describes applications of generating functions to enumeration of trees, plane graphs, and graphs embedded in two-dimensional surfaces. Throughout the book, the reader is motivated by interesting examples rather than by general theories. It also contains a lot of exercises to help the reader master the material. Little beyond the standard calculus course is necessary to understand the book. It can serve as a text for a one-semester undergraduate course in combinatorics.


Lectures on Generating Functions Related Books

Lectures on Generating Functions
Language: en
Pages: 170
Authors: Sergei K. Lando
Categories: Mathematics
Type: BOOK - Published: 2003-10-21 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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 s
Analytic Combinatorics
Language: en
Pages: 825
Authors: Philippe Flajolet
Categories: Mathematics
Type: BOOK - Published: 2009-01-15 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent d
Generatingfunctionology
Language: en
Pages: 193
Authors: Herbert S. Wilf
Categories: Mathematics
Type: BOOK - Published: 2014-05-10 - Publisher: Elsevier

DOWNLOAD EBOOK

Generatingfunctionology provides information pertinent to generating functions and some of their uses in discrete mathematics. This book presents the power of t
Applied Combinatorics
Language: en
Pages: 889
Authors: Fred Roberts
Categories: Computers
Type: BOOK - Published: 2009-06-03 - Publisher: CRC Press

DOWNLOAD EBOOK

Now with solutions to selected problems, Applied Combinatorics, Second Edition presents the tools of combinatorics from an applied point of view. This bestselli
Lessons in Enumerative Combinatorics
Language: en
Pages: 479
Authors: Ömer Eğecioğlu
Categories: Mathematics
Type: BOOK - Published: 2021-05-13 - Publisher: Springer Nature

DOWNLOAD EBOOK

This textbook introduces enumerative combinatorics through the framework of formal languages and bijections. By starting with elementary operations on words and