A Collection of Problems on Complex Analysis (Dover Books on Mathematics) [Paperback]

L. I. Volkovyskii (Author), G. L. Lunts (Author), I. G. Aramanovich (Author), Mathematics (Author)

Editorial Reviews

Language Notes

Text: English (translation)
Original Language: Russian

Product Details

• Paperback: 448 pages
• Publisher: Dover Publications; 1 edition (November 2, 2011)
• Language: English
• ISBN-10: 0486669130
• ISBN-13: 978-0486669137
• Product Dimensions: 8.2 x 5.4 x 0.8 inches
• Shipping Weight: 14.4 ounces
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #728,377 in Books (See Top 100 in Books)

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5 of 5 people found the following review helpful:

5.0 out of 5 stars a unique collection, August 5, 2006

By 

Palle E T Jorgensen "Palle Jorgensen" (Iowa City, Iowa United States) - See all my reviews
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This review is from: A Collection of Problems on Complex Analysis (Dover Books on Mathematics) (Paperback)

This nice little book by Volkovyskii et al (translated from Russian) is a collection of exercises, and it covers the central aspects of and themes in complex function theory, elementary geometry, harmonic and analytic functions. It contains graphics and illustrations, and the last third of the book consists of answers and solutions.

The central topics are (in this order) complex numbers, calculus and geometry of the plane, conformal mappings, harmonic functions, power series and analytic functions, and the standard Cauchy-and residue theorems, symmetry, Laurent series, infinite products, ending with a brief chapter on Riemann surfaces, and applications to hydrodynamics and electrostatics. All the material is presented in the form of exercises.

The book was published first in 1965, but reprinted since by Dover. It is suitable and recommended as a supplement in a standard course in complex function theory, late undergraduate level, or beginning graduate.

Of other Dover titles on the same subject we recommend the books by Flanigan, Schwerdtfeger, and Silverman. Review by Palle Jorgensen, August 5, 2006.