Is the book Complex variables by Carlos A Berenstein and Roger Gay a good book for a second, more rigorous, course in complex analysis?
My first course, while I loved the applications to analytic number theory, felt dry and bland in its analysis as they just gave definitions.
This book seems to be one of its kind as it talks about algebraic topology, homological algebra, and sheaf theory while developing complex analysis from the definition of a holomorphic funtion (It gives a really good reason from linear algebra why we have the definition of a holomorphic function the way we do).
I can't find any reviews or really anything about this book except for one reply on the page.
Is this a good book to read or is there a similar one that covers a modern approach like it? (By the way my first course text was Complex analysis by Elias M. Stein which I read up to chapter 7).
A modern Introduction to Complex Analysis
complex-analysisreference-request
Best Answer
I think this is a challenging, highly readable book, worth a detailed study.
Prerequisites, the reader should know:
Note: A review by Nick Lord has been published in The Mathematical Gazette Volume 78 Issue 482.