Download PDF A Collection of Problems on Complex Analysis, by L. I. Volkovyskii, G. L. Lunts, I. G. Aaramanovich
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A Collection of Problems on Complex Analysis, by L. I. Volkovyskii, G. L. Lunts, I. G. Aaramanovich
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Over 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Topics include conformal mappings, integrals and power series, Laurent series, parametric integrals, integrals of the Cauchy type, analytic continuation, Riemann surfaces, much more. Answers and solutions at end of text. Bibliographical references.
- Sales Rank: #619033 in eBooks
- Published on: 2015-03-31
- Released on: 2015-03-31
- Format: Kindle eBook
Language Notes
Text: English (translation)
Original Language: Russian
Most helpful customer reviews
16 of 16 people found the following review helpful.
a unique collection
By Palle E T Jorgensen
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.
7 of 8 people found the following review helpful.
a very useful book
By Alessandro Ferri
This is a very interesting collection of problems for anyone is interested in complex analysis. About 1500 exercixes that need a good preparation to be solved.
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