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Category Archives: Math
Math Students Hunt For Errors in False Proofs!
Communicating mathematics is a crucial part of a developing mathematician’s career. Really, any mathematician’s career. In the classroom, with peers, and at conferences, math students organize their learning and research in order to effectively question and convey concepts that require … Continue reading
Mathematics from arts?
In which I write about the wonderful mathematics that I learned inspired by a graphics design student I met at a Halloween party.
Posted in Algebraic Geometry, Arts & Math, Linear Algebra, Technology & Math
Tagged Graphics Design, LaTeX, Manim, Splines
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Solvitur Ambulando
An algebraist, a finitist, and a determinist walk into a statistics classroom. They are all the same person and worse: the teacher, so the joke is on the students. For reasons still partly obscure to me, my department has given … Continue reading
Posted in Grad student life, Math, Math History, Math Teaching, Statistics, Teaching
Tagged nature of proof, paradox, probability theory, Zeno of Elea
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What is an Infinitesimal?
A guest post from Reginald Anderson at Kansas State University. Firsttime learners of calculus often struggle with the notion of an infinitesimal, and considering $\frac{dy}{dx}$ literally as a fraction can lead students astray in Calculus III and differential equations, when … Continue reading
Posted in Algebraic Geometry, Math Education, Teaching
Tagged Algebraic geometry, Math, Teaching
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A Eulogy Of Lipschitz Maps
A Lipschitz map (/function) is one that does not extend distances by more than a preassigned factor: $f: X \longrightarrow Y$ is Lipschitz if there exists an $L \in \mathbb{R}$ such that $$ \forall x, \ \ \forall y \ … Continue reading
Posted in Analysis, Math
Tagged Change of Variables, Lipschitz Maps, Luzin N Property, Radamacher's Theorem
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