Monthly Archives: January 2019

Hopping Induction for AM GM

Posted on January 2, 2019 by Sumant Sumant
Posted in Inequalities, Mathematical Induction, Proof | Tagged | Leave a comment

Math 331: Lecture 6 AM GM Example

Posted on January 2, 2019 by Sumant Sumant
Posted in Inequalities | Tagged | Leave a comment

Math 331: Lecture 5 AM GM Games

Posted on January 2, 2019 by Sumant Sumant

Hopping Induction to prove AM-GM Inequality: Card Game: On each card there are 8 countries and if we choose any two cards there is a guaranteed match of exactly 1 country. If there is one country on each card we … Continue reading →

Posted in Algebra, Inequalities, Multivariable Calculus, Proof, Set Theory | Tagged | Leave a comment

Inner Product Spaces

Posted on January 1, 2019 by Sumant Sumant

The inspiration behind inner product spaces is the idea of and . Here we have LAD (length, angle, distance). However if we look at vector space these ideas are missing. So inner product spaces are extension of vector spaces so … Continue reading →

Posted in Linear Algebra, Real Analysis | Leave a comment

AM GM Proof using Lagrange Method

Posted on January 1, 2019 by Sumant Sumant
Posted in Inequalities, Multivariable Calculus, Number Theory, Proof, Real Analysis | Leave a comment