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Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11) 2nd Edition

by John B Conway (Author)
4.6 4.6 out of 5 stars 69 ratings
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This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre­ requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ­ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe­ matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.
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  1. ISBN-10
    0387903283
  2. ISBN-13
    978-0387903286
  3. Edition
    2nd
  4. Publisher
    Springer
  5. Publication date
    January 1, 1978
  6. Part of series
    Graduate Texts in Mathematics
  7. Language
    English
  8. Dimensions
    6.4 x 1.1 x 9.3 inches
  9. Print length
    330 pages
  10. See all details
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Editorial Reviews

Review

"This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book for classroom use or self-study." --MathSciNet

Product details

  • Publisher ‏ : ‎ Springer; 2nd edition (January 1, 1978)
  • Language ‏ : ‎ English
  • Hardcover ‏ : ‎ 330 pages
  • ISBN-10 ‏ : ‎ 0387903283
  • ISBN-13 ‏ : ‎ 978-0387903286
  • Item Weight ‏ : ‎ 3.17 pounds
  • Dimensions ‏ : ‎ 6.4 x 1.1 x 9.3 inches
  • Customer Reviews:
    4.6 4.6 out of 5 stars 69 ratings

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John B. Conway

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Customer reviews

4.6 out of 5 stars
4.6 out of 5
69 global ratings

Top reviews from the United States

Bill Ed
5.0 out of 5 stars A Classic under Attack
Reviewed in the United States on July 24, 2012
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I find myself in the strange position of defending a classic text which has been widely used for several decades. I find the book to be superbly organized and written. It is the text I used in graduate school, and I have used it on at least two occasions when teaching a second course in complex analysis. My students never shared any complaints with me, and it has been my favorite complex analysis text for over 3 decades.

I'd conjecture that Professor Conway couldn't care less that a few low-ball ratings here of his text have brought the average rating score down far from where it would otherwise be, but for some reason it does bother me.
17 people found this helpful
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E. Zanni
5.0 out of 5 stars Great book
Reviewed in the United States on May 19, 2013
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Functions of One Complex Variable Vol. I is a well-organized textbook preseting basic principles and concepts of Complex Analysis. The text is full of examples, which helps a lot the reader to consolidate some notions and aspects of the theory. Moreover, Conway invited the reader to explore further the results presented through a vast number of exercises in the end of each section. Personally, I only have one bad comment: the exercises do not have many comments or hints. This is very unappealing for the self-taught student of other fields, such as Engineering or Physics.
6 people found this helpful
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robert clarke
4.0 out of 5 stars Nicely done. Proofs are clear and detailed
Reviewed in the United States on November 27, 2014
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Nicely done. Proofs are clear and detailed. the section on covering spaces and monodromy were well done. Conway goes beyond Ahlfoir's excellent classic text in terms of material and sophistication of techniques. However, some important topics, such as modular functions, the Weierstrauss P-function and elliptic functions/curves are omitted from this and vol. II. The treatment of the Mobius group and non-Euclidean geometry is bare-bones, so you'll have to look elsewhere. Supplement this text with Tristam's outstanding Visual Complex Analysis for a full tour de force of the beauty of complex analysis.
3 people found this helpful
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Minh
5.0 out of 5 stars classic textbook
Reviewed in the United States on January 8, 2020
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Bought this a parting gift for a friend of mine.
One person found this helpful
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Amazon Customer
5.0 out of 5 stars Five Stars
Reviewed in the United States on February 3, 2018
Verified Purchase
Great book, also note it's not John Horton Conway, different Conway.
4 people found this helpful
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horstpbf
5.0 out of 5 stars Clear, precise, detailed
Reviewed in the United States on January 15, 2024
This is a book that you want to read after you finished learning an elementary course on functions of a complex variable and have a lot of doubt. If you slow down and examine line by line of this book, you will see its elegance and beauty.
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Yu Hua
5.0 out of 5 stars Worth it!
Reviewed in the United States on September 27, 2014
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It is a good book and I am using it everyday for my complex analysis class.
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Jacob Smith
4.0 out of 5 stars Four Stars
Reviewed in the United States on January 26, 2018
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Seems good so far.
Conway is an absolute madman with notation, though.
2 people found this helpful
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Top reviews from other countries

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LHAS
5.0 out of 5 stars Excelente serviço
Reviewed in Brazil on August 17, 2023
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Perfeito
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Gaby Glez
5.0 out of 5 stars Práctico y útil
Reviewed in Mexico on December 15, 2022
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Me lo recomendaron para regalar a un matemático y simplemente le encantó!
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Jaime Fernandez
4.0 out of 5 stars Texto "moderno" de análisis complejo
Reviewed in Mexico on May 9, 2019
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Conway realizó un trabajo excelente al escribir este libro. Es un poco terso pero con paciencia puedes sacarle provecho al contenido. Lo único que me viene a la mente que no me gustó fue la notación para el conjunto vacío: Conway usa una caja en lugar del símbolo usual.
One person found this helpful
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