This is the fourth edition of Serge Lang's Complex Analysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course. This is a revised edition, new examples and exercises have been added, and many minor improvements have been made throughout the text.
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Review: Complex Analysis (Graduate Texts in Mathematics)User Review - Goodreads
The book's first part is a bit too wordy.
Review: Complex Analysis (Graduate Texts in Mathematics)User Review - James Van alstine - Goodreads
The deeper problems in the last half of the book are great food for thought. Great sections on the gamma, sigma, and zeta functions. There is an interesting section on applications of the Schwarz reflection too. Read full review
3 Complex Valued Functions
5 Complex Differentiability
35 other sections not shown