2022-09-15: manifolds chapter, started ch3

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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)