A tentative attempt to share mathematical reflections.
This may only consist of a one brief article on the role of trajectories in understanding differentiable manifolds.
In HSM Coxeter’s Introduction to Geometry, he wanders back and forth through different approaches to Geometry, starting with an introductory path through the landscape of Euclidean Geometry, exploring and identifying accessible insights that reveal unexpected beauty in a familiar space. He then circles back to foundations and reveals the intricate and subtle logic underpinning thisContinue reading “On the rigidity of angles”
During my cat-cation, I’ve been re-reading Introduction to Geometry by H S M Coxeter. My copy was formerly owned by my old Geometry lecturer Ken Pledger. Ken was an incredibly thoughtful and insightful educator, constantly evolving his syllabus and notes in response to insights from his students. Scattered throughout the book are his old notes,Continue reading “Introduction to Geometry by HSM Coxeter, annotated by Ken Pledger”
On a walk around the neighbourhood, I was reminded of my interest in two related mathematical concepts: the relation and the function. My insights were small, but I found them satisfying, so I am sharing them regardless, in celebration of small joys. For those that are unfamiliar, a relation is a way of relating elementsContinue reading “On relations, functions, and asymmetric axioms.”
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