The text covers enough material for an advanced undergraduate or first-year graduate course. Contents include calculus in the plane; harmonic functions in the plane; analytic functions and power series; singular points and Laurent series; and much more. Many fine illustrations i…
This book is based on a one semester course for graduate students in physical sciences and applied mathemat- ics. Not detailed mathematical background is needed but the student should be familiar with the theory of analytic functions of a complex variable. Since the course is pr…
"Commencing with Gauss, mathematicians have contributed to the study in the plane of the complex variable of the geometric relations between the zeros of a polynomial and those of its derivative. More generally there have been studied the relations between the zeros and poles of…
