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Complex Variables and Applications (Churchill-Brown Series) 5 Sub Edition

4.9 out of 5 stars 9 customer reviews
ISBN-13: 978-0070109056
ISBN-10: 0070109052
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Product Details

  • Series: Churchill-Brown Series
  • Hardcover: 361 pages
  • Publisher: McGraw-Hill Companies; 5 Sub edition (December 1989)
  • Language: English
  • ISBN-10: 0070109052
  • ISBN-13: 978-0070109056
  • Product Dimensions: 9.6 x 6.6 x 0.8 inches
  • Shipping Weight: 1.8 pounds
  • Average Customer Review: 4.9 out of 5 stars  See all reviews (9 customer reviews)
  • Amazon Best Sellers Rank: #1,232,371 in Books (See Top 100 in Books)

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By Alexander C. Zorach on June 15, 2006
Format: Hardcover
This book is simply clearer than any other complex analysis book I've read, although it's not particularly advanced or concise.

This book is a great text for undergraduates studying complex analysis for the first time. It does not assume a strong background in rigorous analysis, making the material accessible to a wider audience.

At times I find that this book moves a bit slow for my personal taste, but what it loses in speed it makes up for in clarity. The explanations are always clear. I find that I never get stuck in a proof in this book. If there is a certain topic that I absolutely must understand, and I want to understand in a straightforward, useful way, as quick as possible, I turn to this book.

I would recommend this book for self-study as well as a textbook at the introductory level. It is not a particularly advanced book, and is not comprehensive as a reference for more advanced students, nor would it be a great choice for a graduate or advanced course.
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Format: Hardcover
I read this book in preparation for an analysis qualifying exam, and found that the examples, exercises, and explanations provided made the entire subject seem both easy and interesting. For a beginning student of complex analysis, I do not see any better option. Moreover, I believe every future mathematics-book author should study this book as an exercise on "what to do". Finally part II of Lang's "Complex Analysis" has alot of interesting advanced material related to geometric function theory, and would make a good follow-up to this book.
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Format: Hardcover
I used this text for an undergrad course, and I thoroughly enjoyed it. The book, as the title suggests, is ideal for physicists, engineers, and applied mathematicians, in that it hits the important and powerful features of complex analysis which are tremendously useful for applied work. What's more, it succeeds in doing so without sacrificing mathematical rigor, and without getting bogged down on stodgy formalism.
As for the scope of the book, I believe it can be fairly stated that just about everything in the book should be studied and mastered by readers doing applied work. From my own experience, everything covered in the book has turned out to be relevant at one point or another. It can be said without exaggeration that this book is a gold mine.
Buy it. It's worth every penny. As George Foreman would say: I guarantee it.
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Format: Hardcover
This text was used in an introductory grad course on complex variables I took a while back and I must say it is one of the best mathematical texts I've seen. The presentation of the material in the first few chapters is flawless, with the problem sets at the end of each perfectly supported by the material previously presented. So much so, that one is able to complete most of the problems without any assistance what so ever from anyone, including the more difficult ones that test a students mathematical maturity with regard to proofs. The later chapters provide some excellent coverage of some simple applications, although the professor only covered a handful of these in the course. Overall it's a superb intro to the subject of complex variables and in my opinion an excellent text both for class use or self study.
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Format: Hardcover
This book does not claim to be a graduate mathematics textbook on complex analysis -it is no Rudin. With that said, this is one of the most useful mathematics textbooks an applied/experimental physicist will ever need (I cannot speak for theoretical physicists, and the entire subject -except for Laplace transforms- is really not that vital to engineers). I studied Ch. 1-8 as an undergraduate, and years later, as a postdoctoral researcher, hardly a week goes by when I don't use it in some way. The exposition of the Laurent series is excellent and will stick with the reader for a long time. The typesetting is a feast to the eyes. My only complaint is that it pays very little attention to analytic continuation, a standard technique in physics that I've never quite understood because it's not in this book. I personally don't get the complaints about how it lacks in rigor, considering that it is for undergraduates mainly in the sciences and engineering, but each person has his/her own expectations from a textbook. My expectation was that it would help me apply complex analysis to scattering theory and other topics in physics, and that expectation was fully met and exceeded.
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