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Introduction to Complex Analysis (Paperback)

by H. A. Priestley (Author) "Complex analysis has its roots in the algebraic, geometric, and topological structure of the complex plane ..." (more)
5.0 out of 5 stars  See all reviews (3 customer reviews)
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Product Description

Complex analysis is a classic and central area of mathematics, which is studied and exploited in a range of important fields, from number theory to engineering. Introduction to Complex Analysis was first published in 1985, and for this much awaited second edition the text has been considerably expanded, while retaining the style of the original. More detailed presentation is given of elementary topics, to reflect the knowledge base of current students. Exercise sets have been substantially revised and enlarged, with carefully graded exercises at the end of each chapter. This is the latest addition to the growing list of Oxford undergraduate textbooks in mathematics, which includes: Biggs: Discrete Mathematics 2nd Edition, Cameron: Introduction to Algebra, Needham: Visual Complex Analysis, Kaye and Wilson: Linear Algebra, Acheson: Elementary Fluid Dynamics, Jordan and Smith: Nonlinear Ordinary Differential Equations, Smith: Numerical Solution of Partial Differential Equations, Wilson: Graphs, Colourings and the Four-Colour Theorem, Bishop: Neural Networks for Pattern Recognition, Gelman and Nolan: Teaching Statistics.
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Complex analysis has its roots in the algebraic, geometric, and topological structure of the complex plane. Read the first page
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5.0 out of 5 stars (3 customer reviews)
 
 
 
 
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8 of 8 people found the following review helpful:
5.0 out of 5 stars Cuts to the chase, 16 Dec 2001
By Paul E. Oppenheimer (peo@erc.msstate.edu) (Mississippi State, Mississippi, U.S.A.) - See all my reviews
This review is from: Introduction to Complex Analysis (Oxford Science Publications) (Paperback)
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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5 of 5 people found the following review helpful:
5.0 out of 5 stars Great text book, 23 Nov 2006
By Ms. R. L. Morris (Oxford, UK) - See all my reviews
(REAL NAME)   
This book has been the text book for the second year course I have been studying, "Complex Analysis", and I have found Priestley's book to be invaluable. Priestley's style is excellent, and the way she has organised the material is helpful, because she breaks certain topics down into a "basic" and "advanced" track, so you can get the feel for the topic before considering it in more detail.

Priestley also includes many worked examples, which again I found to be very helpful, because by working through the examples myself, I managed to consolidate what I had learned previously.

I would recommend this book to anyone who is an undergraduate studying complex analysis.
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5 of 6 people found the following review helpful:
5.0 out of 5 stars Very Good., 20 Dec 2006
By J. Oumamar - See all my reviews
(REAL NAME)   
Good things; the "tactical tips" are generally excellent and the material in the book is adequate and reasonably well paced for the 1st to 2nd year undergraduate. Wise choices with regards to topological abstraction are also made and worked in well to the text.

Occasionally important insights in proofs are omitted or worse genuine oversights are made (for instance, on p25 where the proof does not hold for all triplets in Cinfinity), there are also a few comical errors, e.g. p56 where even on the 2nd printing there is a glaring error in the very first definition of complex differentiable!

The author seems to take a dim view of alternative ways of constructing complex analysis which are genuinely quite interesting and worth exploring.

The downside of the book is the routineness of the exercises which are well below exam standard in a lot of places and sometimes is nothing more than a list of dull applications. The silly "Z mistake" things everywhere are also sort of insulting...
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