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Birkhäuser - Birkhäuser Mathematics | Green's Functions and Infinite Products - Bridging the Divide (Reviews)

Green's Functions and Infinite Products

Bridging the Divide

Melnikov, Yuri A.

2012, X, 165p. 32 illus..

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From the reviews:

“The book under review is an interesting textbook which is intended for students (both undergraduate and postgraduate) specializing in pure and applied mathematics. It may be considered as a good complement to standard courses in analysis and differential equations.” (Konstantin Yu. Fedorovskiĭ, Mathematical Reviews, May, 2013)

“The present book provides an introduction to some recent research of the author based on a method for deriving infinite product representations for the Green’s functions of the two-dimensional Laplace equation on certain domains. … The book contains ample background material on infinite products and Green’s functions … and is, hence, accessible for graduate students. In particular, the presentation is clear and self-contained.” (G. Teschl, Monatshefte für Mathematik, Vol. 166 (3-4), June, 2012)

“This book is devoted to some new infinite products for trigonometric and hyperbolic functions. … the infinite products investigated in the book have the same speed of convergence as the classical ones. … The book is written on a very comprehensive level and can be useful for students studying equations of mathematical physics and computer modeling.” (Yana Kinderknecht, Zentralblatt MATH, Vol. 1235, 2012)

 

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