Initiate Inequalities Improvement

master magnitudes

What you'll learn
Arithmetic mean vs Geometric mean
Weighted power mean inequality
Jensen inequality for convex /concave functions
Karamata inequality
Muirhead inequality
Requirements
Concentrate for 2 hours
Algebra skills
Description
I learned inequalities in high school but was never tested on it and can successfully solve many USAMO inequalities without background, but I thought it was finally time to dive into the theory to see how to take advantage of the technology to solve problems.Presents the main inequalities that one encounters in maths olympiad curriculum with proofs and examples. The first is AM-GM inequality, then (weighted) Power mean inequality, Jensen inequality and Karamata's inequality.Later is Muirhead, Schur and hopefully eventually Holder.

Who this course is for
Intermediate math olympians,high ability students,intermediate algebra students

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