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Theory of Functions of a Complex Variable: Second Edition (AMS Chelsea Publishing) Hardcover – 1 Jul 2001

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Most Helpful Customer Reviews on (beta) 14 reviews
52 of 53 people found the following review helpful
Masterpiece 27 Feb. 2004
By A Customer - Published on
Format: Hardcover
It is not true that "This is actually three separate books bound as one". The original russian edition consisted of a single volume but for some reason it was seperated into three vols in the first English edition. Now it is printed as a single volume as it should be. I point this out because the book is a continuous coverage of the theory of functions from A to Z, not what "3 books in 1" might suggest.
You cannot find modern things like covering spaces, cohomology, complex manifolds etc in this book. What you find is a page after page covering of classical function theory at its best. Nothing is left out. Lots of examples and exercises are included. A joy to read.
Let me also note that the following (very cheap) book is based on Markushevich. It contains the answers of a lot of exercises in Markushevich's book. So buy this one also:
"A Collection of Problems on Complex Analysis"
Dover Pubns
24 of 25 people found the following review helpful
Great for reverence too 21 Dec. 1999
By A Customer - Published on
Format: Hardcover
This is a classic of both clarity (topics are easy to absorbed on the fly) and beauty (it's probably the only math textbook I've read for pleasure). Richard Silverman should (practically) be given co-author status for crystalline English revision of this book; the organization is so clear, and the prose precisely delineates the thought. I would compare this book to the best exposition of Bach's music.
18 of 19 people found the following review helpful
Breathtaking Clarity! 28 Nov. 2000
By UNPINGCO - Published on
Format: Hardcover
This is actually three separate books bound as one. The text covers the usual topics, but the development and progression, showing how each result links to the next, is really astounding. Additionally, the text is typeset beautifully, with plenty of useful whitespace. The choice of notation is superb.
The books in this series are characterized by the efforts of several experts, each painstakingly reviewing the same text in search of the greatest lucidity. It works! This is a great text for self-study. It's impossible to recommend it enough.
13 of 14 people found the following review helpful
"Theory of Analytic Functions," by A.I. Markushevich. 12 Jun. 2011
By Pacific - Published on
Format: Hardcover
When I am writing these lines, the original book by A.I. Markushevich is on my desk. I bought this book half-a-century ago, in Moscow, USSR. The title of the book, in the word for word (literal) translation, is "Theory of Analytic Functions." It is one-volume book, with pages of the size approximately 256mm x 167mm, and there are 703 pages in the book. This book is published in Moscow-Leningrad, by the State Publishing House of Technico-Theoretical Literature, in 1950, in Russian Language. Again, this is the very first edition of this masterpiece. There are eight chapters in the book. There are no problems (for the reader to solve them). That, however, was typical of many books published in the USSR: there were, usually, separate Problems Books. This was one of the books by which I myself studied Complex Variables. The English Editions of this book I do not have, although one of the Universities in the city where I live does have two such editions: one published by the Prentice Hall in 1965, and another one published by Chelsea in 1977. If I were doing translation of this book into English, I would try to stay as close as possible to the original, because the original is written with care of the reader. By the way, this was edition of 15000 copies. By the time I bought this book, all 15000 copies were sold, and the bookstores (of new books) did not have this book. In the USSR, there was no Books in Print system. Books were printed in specified number of copies, and if these copies were sold, the only way to find a book was in a second-hand bookstore. And that is where I bought this book. The price of this book, new, was 29 roubles. In the second-hand bookstore, I paid 23 roubles 20 copecks. I used this book, as needed, all my life. Even today, I used it, and I expect to use it in the near future, too. I bought many books in my life, mostly before I was fourty-something. This purchase was one of the best book purchases for me. If you are interested in Analysis - BUY THIS BOOK! With Best Wishes, Pacific.
8 of 9 people found the following review helpful
Hands down the best text on complex function theory 19 Jan. 2014
By Ijon Tichy - Published on
Format: Hardcover Verified Purchase
Complex function theory is a classic subject of mathematics that has found its definite form a long time ago. It is still an extremely important tool in many applied fields. Markushevich's book is a unique masterpiece that presents the theory in a comprehensive and clear way, perfectly suited for students who seek to acquire the powerful techniques of complex analysis. It is modern and conceptual, yet without the burden of Bourbaki style notation and terminology. It is applied, yet without long chapters of uninspiring calculations. For those with an applied bent, a good complement to Markushevich is another gem of mathematical writing, "Functions of a Complex Variable" by Carrier, Krook, and Pearson.
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