[Coursera] Analytic Combinatorics
Robert Sedgewick (Princeton University)



Support
Academic Torrents!

Disable your
ad-blocker!

coursera-analytic-combinatorics (56 files)
assignments.txt0.26kB
lectures/0-overview/Analytic Combinatorics 0.0 Brief History (933).mp428.70MB
lectures/1-OGFs/AC01-OGFs.pdf11.44MB
lectures/1-OGFs/Analytic Combinatorics 1.0 Symbolic Method (1123).mp426.64MB
lectures/1-OGFs/Analytic Combinatorics 1.1 Trees and Strings (1422).mp436.08MB
lectures/1-OGFs/Analytic Combinatorics 1.2 Powersets and Multisets (1300).mp431.02MB
lectures/1-OGFs/Analytic Combinatorics 1.3 Compositions and Partitions (1502).mp435.83MB
lectures/1-OGFs/Analytic Combinatorics 1.4 Substitution (303).mp416.67MB
lectures/1-OGFs/Analytic Combinatorics 1.5 Exercises (622).mp47.23MB
lectures/2-EGFs/AC02-EGFs.pdf13.12MB
lectures/2-EGFs/Analytic Combinatorics 2.0 Basics (1341).mp435.03MB
lectures/2-EGFs/Analytic Combinatorics 2.1 Symbolic Method for Labelled Classes (1835).mp441.77MB
lectures/2-EGFs/Analytic Combinatorics 2.2 Words and Strings (1221).mp427.25MB
lectures/2-EGFs/Analytic Combinatorics 2.3 Labelled trees (1525).mp434.63MB
lectures/2-EGFs/Analytic Combinatorics 2.4 Mappings (1703).mp435.35MB
lectures/2-EGFs/Analytic Combinatorics 2.5 Summary (457).mp411.09MB
lectures/2-EGFs/Analytic Combinatorics 2.6 Exercises (254).mp47.00MB
lectures/3-MGFs/AC03-MGFs.pdf21.76MB
lectures/3-MGFs/Analytic Combinatorics 3.0 Basics (1909).mp445.53MB
lectures/3-MGFs/Analytic Combinatorics 3.1 Moment Calculations (2456).mp454.54MB
lectures/3-MGFs/Analytic Combinatorics 3.2 OBGF examples (1734).mp433.24MB
lectures/3-MGFs/Analytic Combinatorics 3.3 Labelled Classes (1918).mp437.81MB
lectures/3-MGFs/Analytic Combinatorics 3.4 Exercises (234).mp46.22MB
lectures/4-complex-analysis/AC04-Poles.pdf19.98MB
lectures/4-complex-analysis/Analytic Combinatorics 4.0 Roadmap (1338).mp433.35MB
lectures/4-complex-analysis/Analytic Combinatorics 4.1 Complex Functions (1314).mp431.59MB
lectures/4-complex-analysis/Analytic Combinatorics 4.2 Rational Functions (1923).mp444.00MB
lectures/4-complex-analysis/Analytic Combinatorics 4.3 Analytic Functions and Complex Integration (2356).mp454.55MB
lectures/4-complex-analysis/Analytic Combinatorics 4.4 Meromorphic Functions (3455).mp482.42MB
lectures/4-complex-analysis/Analytic Combinatorics 4.5 Exercises (324).mp48.47MB
lectures/5-applications/AC05-PoleApps.pdf15.65MB
lectures/5-applications/Analytic Combinatorics 5.0 Bitstrings (1651).mp437.15MB
lectures/5-applications/Analytic Combinatorics 5.1 Other Familiar Examples (1529).mp433.91MB
lectures/5-applications/Analytic Combinatorics 5.2 Restricted Compositions (0942).mp422.78MB
lectures/5-applications/Analytic Combinatorics 5.3 Supercritical Sequence Schema (1449).mp434.09MB
lectures/5-applications/Analytic Combinatorics 5.4 Summary (312).mp48.74MB
lectures/5-applications/Analytic Combinatorics 5.5 Exercises (236).mp46.53MB
lectures/6-singularity-analysis/AC06-SA.pdf18.25MB
lectures/6-singularity-analysis/Analytic Combinatorics 6.0 Prelude (2223).mp452.58MB
lectures/6-singularity-analysis/Analytic Combinatorics 6.1 Standard Function Scale (1104).mp427.73MB
lectures/6-singularity-analysis/Analytic Combinatorics 6.2 Singularity Analysis (2034).mp453.84MB
lectures/6-singularity-analysis/Analytic Combinatorics 6.3 Schemas and Transfer Theorems (2536).mp454.19MB
lectures/6-singularity-analysis/Analytic Combinatorics 6.4 Exercises (224).mp44.90MB
lectures/7-applications-of-singularity-analysis/AC07-SAapps.pdf14.52MB
lectures/7-applications-of-singularity-analysis/Analytic Combinatorics 7.0 Simple Varieties of Trees (1601).mp436.74MB
lectures/7-applications-of-singularity-analysis/Analytic Combinatorics 7.1 Labelled Sets (1537).mp436.54MB
lectures/7-applications-of-singularity-analysis/Analytic Combinatorics 7.2 Mappings (1132).mp428.46MB
lectures/7-applications-of-singularity-analysis/Analytic Combinatorics 7.3 Tree-like Classes (1647).mp440.09MB
lectures/7-applications-of-singularity-analysis/Analytic Combinatorics 7.4 Summary (321).mp48.01MB
lectures/7-applications-of-singularity-analysis/Analytic Combinatorics 7.5 Exercises (205).mp44.97MB
lectures/8-saddle-point-asymptotics/AC08-Saddle.pdf25.61MB
lectures/8-saddle-point-asymptotics/Analytic Combinatorics 8.0 Modulus Surfaces (1754).mp443.34MB
lectures/8-saddle-point-asymptotics/Analytic Combinatorics 8.1 Saddle Point Bounds (915).mp423.50MB
lectures/8-saddle-point-asymptotics/Analytic Combinatorics 8.2 Saddle Point Asymptotics (1847).mp449.65MB
lectures/8-saddle-point-asymptotics/Analytic Combinatorics 8.3 Applications (513).mp412.44MB
lectures/8-saddle-point-asymptotics/Analytic Combinatorics 8.4 AC Wrap-up (1143).mp425.82MB
Type: Course
Tags:

Bibtex:
@article{,
title= {[Coursera] Analytic Combinatorics},
keywords= {},
journal= {},
author= {Robert Sedgewick (Princeton University)},
year= {2016},
url= {},
license= {},
abstract= {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".},
superseded= {},
terms= {}
}