The Theory of Functions of a Complex Variable

by A.I. Markushevich

The first English edition of this magnificent textbook, translated from Russian, was published in three substantial volumes of 459, 347, and 374 pages, respectively. In this second English edition all three volumes have been put together with a new, combined index and bibliography. Some corrections and revisions have been made in the text, primarily in Volume II. Volumes II and III contain numerous references to the earlier volumes, so that the reader is reminded of the exact statements (and proofs) of the more elementary results made use of. The three-volume-in-one format makes it easy to flip back the pages, refresh one's memory, and proceed. The proofs chosen are those that give the student the best `feel' for the subject. The watchword is clarity and straightforwardness. The author was a leading Soviet function-theorist: It is seldom that an expert of his stature puts himself so wholly at the service of the student. This book includes over 150 illustrations and 700 exercises.

Genres: Mathematics

1138 pages, Hardcover

First published January 1, 1977

Reviews

[Lisa · Rating 5 out of 5]

Excellent treatment of complex analysis.

[R Moba · Rating 5 out of 5]

A fave. In Silverman's translation is great from highly accessible rudimentary material right up to Riemann surfaces, and everything between. Lucid, clear, concise, and all encompassing (at least for non-Complex variable specialists). Books 1 and 2 are standard reference for me, indeed there is none better.