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Mathematics has always been of great interest to me. I received an BS in mathematics in 2015, and I worked for several years as a specialized instructor for a private tutoring company. While I'm nowhere near an expert, I still find many topics in math to be fascinating.
Here I write documents about various facets of math that catch my attention. Not only do I hope to share some of my passions, but I also want to get practice and experience in using digital tools to study and present mathematical topics. Updates will be irregular and perhaps infrequent, as learning these tools can take quite some time.
All documents are also available to download in PostScript.
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[2021-11-18] Integrating the Standard Normal Distribution
An elementary method of determining the area under the famous probability curve is unit.
[2021-10-01] Furstenberg as an Introduction to Topology
A topological proof that there are infinitely many primes serves a surprisingly-elegant first step into the subject.
[2021-09-22] The Geometry of the Trigonometric Maclaurin Series
Recreating a little-known geometric argument that underpins the terms of the famous Maclaurin series for sine and cosine.
[2021-09-09] A Fractional Problem
A straightforward problem with some definitions that lead to important constraints on its solutions.
[2021-06-01] "Slide and Divide" Explained
A factorization method that hides it mathematically-correct processes behind some ugly and unjustifiable manipulations.
[2021-04-21] Analyzing a Trigonometric Cubic Formula
The machinery behind an elegant cosine-based method of finding roots of cubic equations.
[2021-04-05] Intuiting the Quadratic Formula
My understanding of how each term in a quadratic equation affects its roots, and where the terms of the quadratic formula come from.
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[Last updated: 2021-11-18]