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Schaum's Outline of Complex Variables, 2ed (Schaum's Outlines) 2nd Edition

4.1 out of 5 stars 39 customer reviews
ISBN-13: 978-0071615693
ISBN-10: 0071615695
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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

The Late MURRAY R. SPIEGEl received the M.S degree in Physics and the Ph.D. in Mathematics from Cornell University. He had positions at Harvard University, Columbia University, Oak Ridge and Rensselaer Polytechnic Insitute, and served as a mathematical consultant at several large Companies. His last Position was professor and Chairman of mathematics at the Rensselaer Polytechnic Institute Hartford Graduate Center. He was interested in most branches of mathematics at the Rensselaer polytechnic Institute, Hartford Graduate Center. He was interested in most branches of mathematics, especially those which involve applications to physics and engineering problems. He was the author of numerous journal articles and 14 books on various topics in mathematics.

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.

He is a Ph.D and a Professor of Mathematics in Temple University
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Product Details

  • Series: Schaum's Outlines
  • Paperback: 384 pages
  • Publisher: McGraw-Hill Education; 2 edition (June 10, 2009)
  • Language: English
  • ISBN-10: 0071615695
  • ISBN-13: 978-0071615693
  • Product Dimensions: 8.9 x 0.7 x 10.7 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 4.1 out of 5 stars  See all reviews (39 customer reviews)
  • Amazon Best Sellers Rank: #126,018 in Books (See Top 100 in Books)

Customer Reviews

Top Customer Reviews

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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By esseyo on February 1, 2004
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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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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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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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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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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Format: Paperback
It contains little theory, and a lot of solved problems. Therefore it is an excellent reference to the field of complex variables. Further, since the book is rather complete, from the 'real number system' to 'conformal mapping', it may also serve as a study book.
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Format: Paperback Verified Purchase
I've had three Schaum's outlines so far (Advanced Mathematics.., Mechanical Vibrations, Complex Variables) and this one is just as useful as the others.
It's a great resource if you are someone who needs to see examples of math problems to gain proficiency. I don't do well going from theory to application to execution without seeing a few examples, and that is exactly what this outline does. It also has many many such examples that are clearly explained without making the "leaps of abstraction" that can easily lose the less experienced students.
If you are taking a course in Complex Variables, or are considering studying complex analysis this book is definitely worth the money.
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