Analytic Combinatorics, Part I

开始时间: 04/22/2022 持续时间: 5 weeks

所在平台: CourseraArchive

课程类别: 数学

大学或机构: Princeton University（普林斯顿大学）

授课老师： Robert Sedgewick

课程主页: https://www.coursera.org/course/introACpartI

课程评论：没有评论

第一个写评论关注课程

课程详情

Analytic Combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the scientific analysis of algorithms in computer science and for the study of scientific models in many other disciplines, including probability theory, statistical physics, computational biology and information theory. Part I of this course covers recurrence relations, generating functions, asymptotics, and fundamental structures such as trees, permutations, strings, tries, words, and mappings, in the context of applications to the analysis of algorithms.

课程大纲

Lecture 1 Analysis of Algorithms

Lecture 2 Recurrences

Lecture 3 Solving recurrences with GFs

Lecture 4 Asymptotics

Lecture 5 The symbolic method

Lecture 6 Trees

Lecture 7 Permutations

Lecture 8 Strings and Tries

Lecture 9 Words and Mappings

课程评论(0条)

课程简介

This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. Part I covers generating functions and real asymptotics and then introduces the symbolic method in the context of applications in the analysis of algorithms and basic structures such as permutations, trees, strings, words, and mappings.