This is a concise textbook of complex analysis for undergraduate and graduate students. It has been written from the viewpoint of modern mathematics â the âĖ-equation, differential geometry, Lie groups, etc. It contains all the traditional material on complex analysis, but many statements and proofs of classical theorems in complex analysis have been made simpler, shorter and more elegant due to modern mathematical ideas and methods. For example, the MittagâLeffler theorem is proved by the âĖ-equation, the Picard theorem is proved using the methods of differential geometry, and so on.
This is a concise textbook of complex analysis for undergraduate and graduate students. It has been written from the viewpoint of modern mathematics â the âĖ-equation, differential geometry, Lie groups, etc. It contains all the traditional material on complex analysis, but many statements and pro...