Projects and Assignments in Pure Mathematics
Morse Theory
Morse theory concerns the study of critical points of a
differentiable function. These generalise the maxima, minima and saddle
points of
a real valued function of 2 variables. In the more general case the
domain of
the function is a manifold, which is a higher dimensional version of a
surface.
Prerequisites: MATH2051 Geometry of Curves and Surfaces
Books
V. Guillemin and A. Pollack, Differential Topology.
J.W. Milnor, Morse Theory.
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