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What a fascinatingly unusual book! Differential Geometry explained as computer algorithms.
-- WetSavannaAnimal aka Rod Vance
What a fascinatingly unusual book! Differential Geometry explained as computer algorithms. -- WetSavannaAnimal aka Rod Vance
-- WetSavannaAnimal aka Rod VanceWetSavannaAnimal aka Rod Vance
Here you have a book from Sussman and Wisdom from MIT about functional differential geometry covering your first query about "manifolds".