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What is nice about this book is that it is a textbook, and not a cookbook nor a book that tries to include everything and fails at all of them. This book never lists too many results; instead it aims at the understanding of the subject matter. Its treatment of Cauchy's theorem clearly exposes the fact that different points of view (derivatives, series, integrals) in the complex plane lead to the same object, analytic functions. The sections on geometric and applied topics, such as linear fractional transformations and fluid mechanics, are a delight to read.
The book assumes nothing other than calculus (Green's theorem) as background. Topological concepts are kept at a reasonable level and some are introduced later when necessary so as not to hinder the development of its main topic. Some short side issues are discussed in tiny sections within the exercises. There are also plenty of regular exercises ranging from elementary calculations to rigorous proofs. This book also contains an appendix that I love on the zeros of polynomials, including the cubic and the quartic.
What attracted me most in this book is that one can read it straight through. There are no secondary undeveloped paths, sections to omit, unnecessary details, or long list of formulas. I recomend it for any course or self-study at the introductory level complex analysis.
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Probably not worth sniffing out a signed first edition, but likely worth whatever it's going for in the cheap bins.
***stars
(An interesting footnote: Brook speaking with New York Mayor of the time, Ed Koch ' 'There'd been a group of bombings on New Year's Eve, and I asked the Mayor whether he felt that New York, as the financial centre of the world, was particularly vulnerable to urban terrorism. He looked astonished. 'Vulnerable? In england you had 27 people killed by a bomb, blowing up the horses in the park the other day! And in Belfast? More people are killed in Britain than in New York!'')
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As everyone else said. It's all you need. I am planning a European trip this summer. I spent hours and hours in book stores looking for the perfect travel book. This is it. I got one for Prague, Budapest, and London as well. The fifth city I'm going to - Berlin- comes out in May and I'm so glad I'll have a set.
I simply went to the library and bought Let's Go Europe for hostel information. Now that I know where I am staying in each city- I will bring these guides with me.
They are perfect. They break the cities down area by area showing many great sites in each area...including things I haven't found elsewhere. For example, the "Figarohaus" in Vienna. Being a huge Mozart fan- I want to see all the Mozart sites I can. The "Figarohaus" is where Mozart lived for three years in Vienna and where he composed my absolute favorite opera, The Marriage of Figaro- hence the name.
It's little things like that that can make your trip great as opposed to average.
Get it and no other...except Let's Go Europe which provides the missing hostel info. When I get to Europe...Let's Go will not be with me- only these guides will.