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## Definitions
"coordinate patch": an open set of points around a point on a manifold
"coordinate function" or "chart": continuous function mapping every point in a patch to coordinates (tuples of N real numbers for an N-dimensional manifold)
multiple charts may be needed to map all points on an entire manifold. a consistent set of charts covering an entire manifold is an "atlas".
## Progress
Went through the second chapter, Manifolds, and did the exersizes. Short and
straight-forward, mostly definitions. Not going in to as much detail/definition
as would if studying Topology directly.
Started on third chapter, Vector Fields and One Form Fields, and struggling
with terminology a bit. Looking ahead a bit, i'm expecting:
- Chapters 2,3,4: definitions, geometry, derivatives on manifolds
- Chapters 5,6,7: calculus on manifolds (integration theorems)
- Chapters 7.8: curvature weirdness and the meat/math of general relativity
- Chapters 10,11: physics
## TODO
report typo in scmutils: "Bad point: polar/cylindrial manifold" and "spherical/cylindrial" (should be "cylindrical"?) (in calculus/manifold.scm)
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