Theory of Functions of a Complex Variable, Second Edition (3 vol. set) by A. I. Markushevich (PDF)

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Ebook Info

  • Published: 2005
  • Number of pages: 1138 pages
  • Format: PDF
  • File Size: 17.89 MB
  • Authors: A. I. Markushevich

Description

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.

User’s Reviews

Editorial Reviews: Review This one-volume approach allows the book to be used for several different types of courses (elementary or more advanced) and makes it an excellent reference work in the field … Theorems are presented in a logical way and are carefully proved, making this a most useful book for students. —- Choice

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a very detailed account of the classical theory of complex analysis in one variable. Looking at the contents already tells you that the author assumes no prior knowledge of even complex arithmetic. This is beneficial for people who wish to attain a solid foundation of complex analysis. Every main concept, starting from limit of sequences and series of complex numbers, continuity of functions of a complex variable, differentiability, differences between Cauchy-Riemann equations and complex differentiability, connectedness, are well explained. There are plenty of interesting exercises at the end of each chapter. They are not just routine calculations, even for the first chapter on complex numbers. After doing most of the exercises in the first chapter, you will realize that some do check whether you can do complex arithmetic, but others test your understanding of the geometric-algebraic dual nature of complex numbers.Also, this series is comprehensive in its coverage. However, if you are well-acquainted with the basics of complex analysis up to Cauchy’s residue theorem, I suggest you buy the second and third volumes only. There, you get the new materials you are looking for.

⭐i think is a good book as i have read from some review, so i purchased so and, because i have read some first pages available from and, seemed to be well written, i think better explained not to be possible without much difficulties, this last is very important for this kind of books and, for any other to be interested in, that i intend to explain, that it is not easy frequently to write what you would to let to know though, i have found a pair of weeks ago another much probably less theoretical that approaches better to me. gerard

⭐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.

⭐The theory of complex analysis is described in great detail in this book.the prove is rigorous and easy to accept.but it’s too thick and a bit verbose to have too much foreshadowing in front of it.

⭐This is an excellent book on complex analysis, from the begginer level to an advanced point. I love the way the material is presented. The content deserves five stars, however, althought it is beatifully bound, the printing quality is not very good. Some letters would appear to be pixelated and sometimes you would think they were running out of ink.

⭐From my point, the printing condition of the current edition is horrible.

⭐There is little I can add to what previous reviews have said. The book is on a par with Titchmarsh. One detail, though: logically, the book is in three volumes but the first two volumes are bound into one physical volume.

⭐Not easy to follow.

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