What is a Linear Map?The concept of a linear map, or a linear transformation, powerful and beautiful tool and one that is fundamental to (you guessed it!)…Aug 26, 2021Aug 26, 2021
Double Dual Space: An Exercise in AbstractionOne important skill in higher math is being able to recognize a mathematical structure or pattern and abstract it away so that you can…Aug 26, 2021Aug 26, 2021
Basis of Abstract Vector SpaceWhat does the dimension of a vector space really mean? What does it mean for a set of vectors to span a vector space? What is a linear…Dec 31, 2020Dec 31, 2020
Abstract Vector SpacesIn this article I want to help you make the leap from and understanding of vectors as perhaps lists of numbers, or arrow, or locations in…Dec 31, 2020Dec 31, 2020
FunctionsDespite the concept of a function being one of the fundamental building blocks of math, I believe that it is often introduced in such a…Dec 31, 2020Dec 31, 2020