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.
Written by a well-known and somewhat controversial Springer author whose writing style has achieved a considerable following Unique approach should appeal to those who want to obtain new results in this field Goes beyond the basic material to present special topics of current interest Additional topics covered in the second part give readers a great deal of flexibility in structuring their learning of the subject Extensively revised edition, includes new examples and exercises, and hundreds of minor improvements throughout
Serge Lang
Cauchy's integral formula Complex analysis Jensen's formula Meromorphic function calculus differential equation gamma function maximum
"The very understandable style of explanation, which is typical for this author, makes the book valuable for both students and teachers."
EMS Newsletter, Vol. 37, Sept. 2000
Fourth Edition
S. Lang
Complex Analysis
"A highly recommendable book for a two semester course on complex analysis."
—ZENTRALBLATTMATH