The course will give a rigorous treatment of
analytic functions of one variable. Topics
include complex differentiation and integration, residues, harmonic functions, the Riemann
Mapping Theorem, analytic continuation. Particular emphasis will be placed
the study of special functions and their asymptotics by the contour integral method.
A detailed exposition of Lobachevsky’s geometry is also planned. If time permits,
we’ll briefly discuss Riemann surfaces in the end of the term.
Office: HB 444
Telephone: ext 3965
L. Ahlfors, 3d ed., McGraw-Hill, and
Special Functions and Their Applications, N.N. Lebedev, Dover Publications.