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Analytic Combinatorics
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This Course Includes
coursera
4.7 (70 reviews )
16 hours 
english
Online - Self Paced
course
Princeton University
About Analytic Combinatorics
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. All the features of this course are available for free. People who are interested in digging deeper into the content may wish to obtain the textbook Analytic Combinatorics (upon which the course is based) or to visit the website ac.cs.princeton.edu for a wealth of additional material. This course does not offer a certificate upon completion.
What You Will Learn?
- Combinatorial Structures and OGFs Labelled Structures and EGFs Combinatorial Parameters and MGFs Complex Analysis, Rational and Meromorphic Asymptotics Applications of Rational and Meromorphic Asymptotics Singularity Analysis Applications of Singularity Analysis Saddle Point Asymptotics.