A solutions manual for Complex Analysis: In the Spirit of Lipman Bers 2e by Rubí E. Rodríguez, Irwin Kra, Jane P. Gilman

About the manual • This manual is intended to accompany the second edition of Complex Analysis in the Spirit of Lipman Bers by Rubí E. Rodríguez, Irwin Kra and Jane P. Gilman. It consists of solutions to most of the problems. Some problems involving filling in the details of a proof in the text and those involving the proof of a well-known theorem that can be found in other texts have been omitted. Also, in some cases, wherein the procedure is clear and mechanical, an outline of the solution is given (as opposed to a complete one). In order to gain most out of the problems, readers are strongly encouraged to try solving the problems themselves before referring to the manual.

The authors' (of the textbook) aim here is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.