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Schaum's Outline of Complex Variables, 2ed (Schaum's Outline Series) [Paperback]

Murray Spiegel , Seymour Lipschutz , John Schiller , Dennis Spellman
4.1 out of 5 stars  See all reviews (35 customer reviews)

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Book Description

May 20, 2009 0071615695 978-0071615693 2

The guide that helps students study faster, learn better, and get top grades

More than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's is better than ever-with a new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study.

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!

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Editorial Reviews

From the Back Cover

--This text refers to an out of print or unavailable edition of this title.

About the Author

Murray Speigel, Ph.D., was Former Professor and Chairman of the Mathematics Department at Rensselaer Polytechnic Institute, Hartford Graduate Center.

Seymour Lipschutz, Ph.D. (Philadelphia, PA), is presently on the Mathematics faculty at Temple University. He has written more than 15 Schaum's Outlines.

John J. Schiller, is an Associate Professor of Mathematics at Temple University. He received his Ph.D. at the University of Pennsylvania and has published research papers in the areas of Riemann surfaces, discrete mathematics biology. He has also coauthored texts in finite mathematics, precalculus, and calculus.

Product Details

  • Series: Schaum's Outline Series
  • Paperback: 384 pages
  • Publisher: McGraw-Hill; 2 edition (May 20, 2009)
  • Language: English
  • ISBN-10: 0071615695
  • ISBN-13: 978-0071615693
  • Product Dimensions: 10.9 x 8.1 x 0.6 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 4.1 out of 5 stars  See all reviews (35 customer reviews)
  • Amazon Best Sellers Rank: #65,601 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews
28 of 29 people found the following review helpful
5.0 out of 5 stars Better than many Textbooks! September 6, 2000
Format:Paperback
I purchased this book for my undergraduate class in Complex Analysis because I was not overly impressed with the required text by Little and Brown. I found that the examples were well chosen, the explanations were easy to follow and the solved problems were informative in their step by step approach. I have compared this to several other texts and while none are perfect, this is at the very least an excellent supplement to any of them.
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22 of 23 people found the following review helpful
5.0 out of 5 stars clear February 1, 2004
By esseyo
Format:Paperback
When I took complex variables, the required text was Churchill's book. It was overpriced, overrated, and dull. I used Murray Spiegel's 1st edition instead and found it covered everything in Churchill's but with more interesting problems, better typography, and better presentation. The proofs are straight-forward and clear with illustrations.
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15 of 15 people found the following review helpful
4.0 out of 5 stars A must-have supplement August 26, 2002
Format:Paperback
This text discusses several things to help you start working with complex variables. The chapters covered are complex numbers; functions, limits, and continuity; complex differentiation and the Cauchy-Riemann equations; complex integration and Cauchy's Theorem; Cauchy's integral formulas and related theorems; infinite series (Taylor and Laurent); the Residue Theorem; and an introduction into conformal mapping and its physical applications.
The author takes the time to explain the terms and everything is easy to refer to. He walks you through several problems, and then you can test yourself with some supplementary problems. Although the answers to the particular problems are not there, you can many times compare it with a problem discussed previously in the chapter. It is still difficult to know if you got it right, but you will have a good idea.
I would recommend this.
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11 of 11 people found the following review helpful
Format:Paperback
Complaints seem to abound in regard to how this Schaum's outline is too theoretical and has too few problems involving applications. You must remember that this particular outline was meant to complement an undergraduate mathematics course in complex variables, not an applied physics or engineering course using complex variables. Thus, the purpose of this book is to develop the calculus of functions of a complex variable.

This is one of those Schaum's outlines that has sufficient explanation, figures, and examples that it can double as a cheap textbook on the subject. However, remember that the emphasis is on theorems and proofs of theorems versus applications. However, there are some sections of the outline that are excellent at illustrating some applications of the subject matter. In particular, chapter 9, "Physical Applications of Conformal Mapping" contains applications from physics using those equations that are defined by a potential, including the electromagnetic field, the gravitational field, and, in fluid dynamics, potential flow, which is an approximation to fluid flow assuming constant density, zero viscosity, and irrotational flow. By choosing an appropriate mapping, the outline demonstrates clearly how one can transform the inconvenient geometry of one set of these equations into a much more convenient one. The equations are solved in this new "convenient" geometry, and then transformed back into the old one. One example of a fluid dynamic application of a conformal map that is detailed is the Joukowsky transform.

If you are not looking for a book to complement a mathematics course on complex variables and you are looking for something more applied, you might look at "Complex Variables: Introduction and Applications". That book has the first part dedicated to theory and the second part dedicated to applications at a reasonable price.
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10 of 10 people found the following review helpful
Format:Paperback
The first graduate level course in mathematics that I took was complex variables. Despite having been very successful as an undergraduate, I felt a bit of trepidation, as the rumor was that graduate school was much, much harder. To help ease the transition, I bought this book as a crutch, which was a wise move. I found problems similar to the assigned homework problems in here and by working through them; I was able to figure out how to do the homework. As a consequence, I was able to do nearly every homework problem, missing only a few points due to minor errors.
That work also led to my achieving very high scores on the exams and getting an A for the course. I strongly recommend this book to anyone who is taking complex variables and is having a bit of difficulty.
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8 of 8 people found the following review helpful
5.0 out of 5 stars Good mixture of examples and theory. June 1, 2004
Format:Paperback
I like this book very much. First, you can go through solved examples or you can try to solve them yourself and compare your solution against the presented one. If you want to get deeper, there are theorems to be proved and again, proofs are shown or indicated, you will not be left alone. Then the book presents number of examples to be solved.
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6 of 6 people found the following review helpful
5.0 out of 5 stars This book no longer need a review January 11, 2007
Format:Paperback
This book no longer need a review. It is so popular among the academics and the students for its lucid way of treating complex variables I used this book as my reference for complex variables for the graduate mathematical methods course. This book helped me a lot with lots of examples and interesting exercise problems. It is also very good for students who wants to have a fast glance at the concepts. Overall, I would strongly recommend this book to any student who wants to learn complex variables in the most simple way with all kinds of examles to solve problems and score high grades.
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Most Recent Customer Reviews
5.0 out of 5 stars Big Help
The Schaum's series of books have helped me with a lot of classes. This one in particular helps a lot with just understanding fundamental concepts a little better.
Published 2 months ago by .:ArtLutherie:.
2.0 out of 5 stars Bought this book to help with Signals and Sytems
I bought this book to help me with Signals and Systems Analysis. The first part of the course deals with complex functions and the complex plane. Read more
Published 4 months ago by gigantacus
5.0 out of 5 stars AS MENTIONED
This book is what was posted and came really quick. Was just in time for my class so i can jump into the sections i needed to do.
Published 5 months ago by Alexander Rodriguez
3.0 out of 5 stars It was ok.
I bought this book to supplement to help me out with a complex variables course. It did help me trying to figure out the proof of the Cauchy Riemmans but over all the book did... Read more
Published 5 months ago by Manuel Bermudez
3.0 out of 5 stars More theory...less solved problems!!
Shaum's series was famous for containing hundreds of solved problems,more than theory.....so I was confused by finding just the opposite: more theory and less practical problems... Read more
Published 7 months ago by Oscar Orta Pastrana
5.0 out of 5 stars A great support for engineers
Thanks Mr. Lipschutz,

I am sure this material support all engineers who face dares in their undertakes.

Best regards,

Marcos Castro.
Published 9 months ago by Marcos Jesus Nazari de Castro
5.0 out of 5 stars Fantastic!
I'm studying Math and I have took a course of Complex Variables, and like all Schaum's books you can rely on a vast variarity of exercises. Read more
Published 9 months ago by Cesar J. Machado R
5.0 out of 5 stars Very straightforward and helpful
I bought this book to study for a graduate school exam. I took a complex variables course, but needed to refresh and learn a few things beyond what was taught in my class. Read more
Published 13 months ago by Jay Hu
4.0 out of 5 stars Schaum's is great!
I have been using Schaum's since Geometry! I have almost every single math workbook. Downside is that I had a hard time following my professor because she used different... Read more
Published 13 months ago by HappyElephant
4.0 out of 5 stars A good review, and good worked examples and miscellaneous examples
This was a nice book, generally. Naturally, it should be read in conjunction with a more theorom based text, but it summarized a lot of material and gave a wide range of good... Read more
Published 16 months ago by DaleO
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