Differentiable Manifolds

Catalog description

This course is about calculus in very general settings, which may include curved spaces and abstractly defined spaces. Its origins go back to attempts to make maps of the Earth taking into account its curvature; its modern applications include mechanics, dynamical systems, partial differential equations, and most famously Einstein's theory of gravity. Credit Hour s : 3 Prerequisites: MATH 7920 or equivalent; MATH 7900 or equivalent; MATH 8655 or equivalent