Pop maths: A sliver of algebraic geometry – Part 3

This is the final post in this series, where I give a layperson’s explanation of a result from algebraic geometry, using only high school–level algebra as a starting point. If you’ve not read the first two in the series, you might want to start here. In this post, we’re going to need a couple of … Continue reading “Pop maths: A sliver of algebraic geometry – Part 3”

Pop maths: A sliver of algebraic geometry – Part 2

You might want to check out part 1 before reading this. A little motivation Last week, we took the Euclidean plane and forgot what angles and distances were, while retaining the concept of parallel lines. This gave us a new space called the affine plane, . Our mission today is to describe an extension of … Continue reading “Pop maths: A sliver of algebraic geometry – Part 2”

Pop maths: A sliver of algebraic geometry – Part 1

This 3-part series attempts to explain a classical result in algebraic geometry to a lay-audience, using only high-school level mathematics. From ancient Greece to the modern era: Cones, curves, and coordinates In the 2nd century BC, Apollonius of Perga studied and classified the so-called conic sections: geometric curves obtained by intersecting a flat 2-dimensional plane … Continue reading “Pop maths: A sliver of algebraic geometry – Part 1”