Where this blog lies
When it comes to explaining mathematical frameworks, there are basically two parts that make up the whole picture:
- the “how,” which is the minimal list of definitions and formulas that justifies the correctness of the system
- the “why,” which is the roadmap that explains the motivations behind the design
Knowing the “how” part is relatively easy. But to really have the system within your grasp and develop the right intuitions, you need the “why” part too.
Unfortunately, most math texts are designed to explain almost only the “how.” That produces a concise document for fast reference, but it also makes the material less comprehensible because you are left to reconstruct the “why” on your own.
So for almost any topic, there is usually a good “how” book already. What is often missing is the “why” layer, and that is the gap this blog aims to fill.