Home » Course Layouts » Free Course Layout Udemy
This course offers an introduction to the polynomial method as applied to solving problems in combinatorics in the last decade.
0
1
English
English [CC]
FREE
- Learn basic syntax that can apply to any language.
- Learn what is a programming language and the basic concepts for beginners.
- Understand what is Javascript in it's truest form.
- Know the basic syntax of Javascript.
- Know some hidden quirks in Javascript.
Description
The course also explores the connections between the polynomial method as used in these problems to the polynomial method in other fields, including computer science, number theory, and analysis
Course content
- Introduction Unlimited
-
- The Berlekamp-Welch Algorithm Unlimited
- The Finite Field Nikodym and Kakeya Theorems Unlimited
- The Joints Problem Unlimited
- Why Polynomials? Unlimited
-
- Introduction to Incidence Geometry Unlimited
- Crossing Numbers and the Szemeredi-Trotter Theorem Unlimited
- Crossing Numbers and Distance Problems Unlimited
- Crossing Numbers and Distinct Distances Unlimited
- Reguli; The Zarankiewicz Problem Unlimited
- The Elekes-Sharir Approach to the Distinct Distance Problem Unlimited
- Degree Reduction Unlimited
- Bezout Theorem Unlimited
- Special Points and Lines of Algebraic Surfaces Unlimited
- An Application to Incidence Geometry Unlimited
- Taking Stock Unlimited
- Detection Lemmas and Projection Theory Unlimited
- Local to Global Arguments Unlimited
- The Regulus Detection Lemma Unlimited
- Background on Connections Between Analysis and Combinatorics (Loomis-Whitney) Unlimited
- Hardy-Littlewood-Sobolev Inequality Unlimited
- Oscillating Integrals and Besicovitch’s Arrangement of Tubes Unlimited
- Besictovitch’s Construction Unlimited
- The Kakeya Problem Unlimited
- A Version of the Joints Theorem for Long Thin Tubes Unlimited
Instructor
Massachusetts Institute of Technology
5
5
1
1916
1520
