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Introduction to Complex Analysis (Oxford Science Publications) [Paperback]

H. A. Priestley
5.0 out of 5 stars  See all reviews (1 customer review)

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There is a newer edition of this item:
Introduction to Complex Analysis Introduction to Complex Analysis 4.5 out of 5 stars (8)
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Book Description

1 Mar 1990 0198534280 978-0198534280 Revised edition
This book presents a concise introduction to elementary complex analysis. The theory is treated rigorously, but no prior knowledge of topology is assumed. The emphasis throughout is on those aspecsts of the theory which are important in other branches of mathematics. The basic techniques are explained, and the major theorems are presented in such a way as to enable the reader to appreciate both the practical and the theoretical applications of the subject. In this revised edition, the author has included numerous new exercises to help and consolidate a firm understanding of complex analysis.

Product details

  • Paperback: 227 pages
  • Publisher: Clarendon Press; Revised edition edition (1 Mar 1990)
  • Language: English
  • ISBN-10: 0198534280
  • ISBN-13: 978-0198534280
  • Product Dimensions: 22.8 x 15.4 x 1.4 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Bestsellers Rank: 788,356 in Books (See Top 100 in Books)
  • See Complete Table of Contents

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15 of 16 people found the following review helpful
5.0 out of 5 stars Cuts to the chase 16 Dec 2001
Priestley moves quickly to the heart of the subject, with a sure touch as to what is really important, and what is a technical detail best saved for a second reading. Since the Bourbaki dangerous bend sign is used liberally for points that might confuse the reader precisely on the first reading, there is no harm and much good done by the rapid pace and focused attention.
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Amazon.com: 2.2 out of 5 stars  4 reviews
4 of 5 people found the following review helpful
4.0 out of 5 stars Very clear exposition 14 Feb 2000
By Robert - Published on Amazon.com
I never formally got taught complex analysis, and used this to cram the subject into my head. Very readable and logical arguments, although it tends more toward functionality (being aimed at undergraduates). Doesn't quite give a working knowledge - look elsewhere for problems and applications.
8 of 11 people found the following review helpful
1.0 out of 5 stars Terrible for Undergraduate 18 April 2000
By Jim Yaghi - Published on Amazon.com
This book is ridiculously skimpy in detail. It does not explain well, has few illustrative examples, and has no solutions at the back of the book for any of the exercises. I found it impossible to study from. Not reccomended as a textbook for undergraduate level!
3.0 out of 5 stars Need the right background 5 Aug 2014
By anonymus - Published on Amazon.com
The publisher's review of the second edition states, "More detailed presentation is given of elementary topics, to reflect the knowledge base of current students."
I think that is a disingenious way of saying the first edition discusses elementary or introductory topics insufficiently to prepare the readers exposed to this for the first time for the remainder of the book. That certainly was my experience in hindsight for I was not able to get sufficient feel out of the first two chapters, and as a result the rest of the book was tough to follow. And not having answers to ANY of the exercise problems is a serious impediment. However, later I bought the book by Churchill & Brown, and after reading its first 5 chapters, I was able to follow Priestley pretty easily. And I appreciate Priestly's incorporation of elementary topological concepts in proofs of Cacuchy's theorems, which I think will be helpful for those taking topology later, or some interesting formulas obtained by contour integrals. Later on I did all of the prbms in Priestly and once I did more than half of Churchill & Brown, which has answers to odds, the lack of answers in Priestly did not bother me as much. (maybe that's saying a lot about C & B. But C & B is at a mathematically lower level proof-wise but would be more suitable for physics/engineering readers as it has more formulas and their applications than Priestly, and I like C&B more from that perspective. Reading both books is the most balanced approach.)
If the first two chapters of the first edition of Priestly were replaced by ch's 1,2,3,5 of the fifth ed of Churchill & Brown and has answers to odd-numbered prbms, I would give it 5 stars for a semester course (insufficient number of topics in Priesley for a 2-sem course though I can imagine C&B being a 2 sem course) b/c I appreciate the rest of the chapters once I obtained the background from C&B. Otherwise obtain the background from C&B BEFORE taking Priestly. I don't know how well the defect was remedied in the second edition, but the reviews are not encouraging.
3 of 4 people found the following review helpful
1.0 out of 5 stars A terrible book. 7 May 2007
By Sports Car Enthusiast - Published on Amazon.com
I found this book incomprehensible even though I got A's in the prerequisite courses for the complex analysis course that used this book. I then got Churchill and Brown's book (ISBN: 0070109052) and things were back to normal.
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