Connections
Notes about bridges, not another collection of definitions. Use Connection when a relationship deserves its own explanation.
Places to Investigate
- Field symmetries ↔ group theory: From Automorphisms to Groups
- Topology ↔ group theory: Fundamental Group
- Algebraic relations ↔ topological gluing: Why Quotient by a Polynomial? and Quotient Spaces
- Differential forms ↔ vector calculus: Exterior Derivative and Generalized Stokes Theorem
- Random walks ↔ heat equation: Brownian Motion and the Heat Equation
- Entropy ↔ information: What Is Entropy? and Shannon Information
- Geometry ↔ mechanics: Geometry Meets Physics