Complex analysis review

The lecture notes cover everything that is in the course and you probably do not need to buy, or refer to, a book

Tall, Complex Analysis, Cambridge University Press, 1983

(This is also an excellent source of additional exercises

) The best book (in my opinion) on complex analysis is

In fact, to a large extent complex analysis is the study of analytic functions

After a brief review of complex numbers as points in the complex plane, we will ̄rst discuss analyticity and give plenty of examples of analytic functions

Chapter 2 Complex Analysis In this part of the course we will study some basic complex analysis

This is an extremely useful and beautiful part of mathematics and forms the basis of many techniques employed in many branches of mathematics and physics