Analytic Combinatorics teaches a calculus that enables precise quantitative predictions of large combinatorial structures. This course introduces the symbolic method to derive functional relations among ordinary, exponential, and multivariate generating functions, and methods in complex analysis for deriving accurate asymptotics from the GF equations.

Analytic Combinatorics is based on formal methods for deriving functional relationships on generating functions and asymptotic analysis treating those functions as functions in the complex plane. This course covers the symbolic method for defining generating functions immediately from combinatorial constructions, then develops methods for directly deriving asymptotic results from those generating functions, using complex asymptotics, singularity analysis, saddle-point asymptotics, and limit laws. The course teaches the precept "if you can specify it, you can analyze it".No certificates, statements of accomplishment, or other credentials will be awarded in connection with this course.

会期:

- 2015年11月06日, 6 星期
- 2015年3月20日, 6 星期
- 2014年10月31日, 6 星期
- 2014年3月28日, 6 星期
- 2013年11月01日, 6 星期

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Algorithms

Algorithms and data structures from the beginning to advanced analysis.

Algorithms and data structures from the beginning to advanced analysis.

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Geometric Combinatorics

This course offers an introduction to discrete and computational geometry. Emphasis...

This course offers an introduction to discrete and computational geometry. Emphasis...

Analysis of a Complex Kind

In this course we’ll explore complex analysis, complex dynamics, and some applications...

In this course we’ll explore complex analysis, complex dynamics, and some applications...

Musical Analysis

This class is an introduction to the analysis of tonal music. Students develop...

This class is an introduction to the analysis of tonal music. Students develop...

Analytical Chemistry / Instrumental Analysis

If chemistry is the science of stuff, then analytical chemistry answers the...

If chemistry is the science of stuff, then analytical chemistry answers the...

Combinatorial Analysis

This course analyzes combinatorial problems and methods for their solution....

This course analyzes combinatorial problems and methods for their solution....

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DNA Sequences: Alignments and Analysis

Learn how to align and analyze DNA sequences using web and software based tools...

Learn how to align and analyze DNA sequences using web and software based tools...

Software Testing Fundamentals

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Cloud Computing Management

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Learn methods for managing cloud computing projects and build an understanding...

Data Science: R Basics

Build a foundation in R and learn how to wrangle, analyze, and visualize data...

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Learn basic data visualization principles and how to apply them using ggplot2...

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Success with your students starts on Day 1. Learn from NTC's 25 years developing...

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