Lectures on Generating Functions pdf epub mobi txt 電子書下載2025

簡體網頁||繁體網頁

☆☆☆☆☆

出版者:American Mathematical Society

作者:Lando, Sergei K.

出品人:

頁數:148

译者:

出版時間:2003

價格:262.00元

裝幀:

isbn號碼:9780821834817

叢書系列:Student Mathematical Library

圖書標籤:

科普
生成函數
sml叢書
生成函數
組閤數學
數學分析
漸近分析
特殊函數
離散數學
高等數學
數學教材
組閤恒等式
母函數

下載連結在頁面底部

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 複製連結

想要找書就要到小美書屋

book.quotespace.org

立刻按 ctrl+D收藏本頁

你會得到大驚喜!!

具體描述

This book introduces readers to the language of generating functions, which nowadays, is the main language of enumerative combinatorics. The book starts with definitions, simple properties, and numerous examples of generating functions. It then discusses 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 to enumeration of trees, plane graphs, and graphs embedded in two-dimensional surfaces.

Throughout the book, the author motivates readers by giving interesting examples rather than general theories. It contains numerous exercises to help students master the material. The only prerequisite is a standard calculus course. The book is an excellent text for a one-semester undergraduate course in combinatorics.

著者簡介

S. K. Lando: Independent University of Moscow, Moscow, Russia

圖書目錄

Cover 1
Title page 4
Contents 8
Preface to the English Edition 12
Preface 14
Formal power series and generating functions. Operations with formal power series. Elementary generating functions 18
Generating functions for well-known sequences 34
Unambiguous formal grammars. The Lagrange theorem 52
Analytic properties of functions represented as power series and their asymptotics of their coefficients 64
Generating functions of several variables 76
Partitions and decompositions 104
Dirichlet generating functions and the inclusion-exclusion principle 118
Enumeration of embedded graphs 130
Final and bibliographical remarks 160
Bibliography 162
Index 164 Free
Back Cover 170
· · · · · · (收起)