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math.GM2022
Proving Taylor's Theorem from the Fundamental Theorem of Calculus by Fixed-point Iteration
Christopher Thron
Taylor's theorem (and its variants) is widely used in several areas of mathematical analysis, including numerical analysis, functional analysis, and partial differential equations.…
math.GM2021
Iterative Designs with Similar Triangles
Christopher Thron
One of the best things about geometry is that it's cool! Geometry enables us to create incredible designs and astounding patterns. This article shows how to use a simple technique…
math.GM2021
Math That Matters: Enhancing Academic Mathematics' Impact on Society
Christopher Thron, Monira Taj Elsir Hamid Ali
Most if not all of today's revolutionary technologies have a common foundation, namely the intelligent use of information. It is clear that computers play a central role: but the c…