3
Numbers & Spaces
From Integers to Hilbert Spaces
Building intuition for different types of numbers and the spaces they inhabit, from integers to Hilbert spaces.
Lessons
3.1
Lesson 3.1 — Integers: The Discrete Backbone
3.2
Lesson 3.2 — Rationals: Dense But Full of Holes
3.3
Lesson 3.3 — Reals & Limits: Filling the Gaps, Completing the Line
3.4
Lesson 3.4 — Vectors & Inner Products: Direction, Length, and Alignment
3.5
Lesson 3.5 — Hilbert Spaces: Geometry That Survives Infinite Dimensions
3.6