Complex Analysis Lecture Notes by Dan Romik
This note covers
the following topics: The fundamental theorem of algebra, Analyticity, Power
series, Contour integrals , Cauchy’s theorem, Consequences of Cauchy’s
theorem, Zeros, poles, and the residue theorem, Meromorphic functions and
the Riemann sphere, The argument principle, Applications of Rouche’s
theorem, Simply-connected regions and Cauchy’s theorem, The logarithm
function, The Euler gamma function, The Riemann zeta function, The prime
number theorem and Introduction to asymptotic analysis.
Author(s): Dan Romik
129 Pages