Painlevé Differential Equations in the Complex Plane

ISBN-13: 9783110173796 / Angielski / Twarda / 2002 / 311 str.

Valerii I. Gromak;Ilpo Laine;Shun Shimomura

Opis

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.
While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community.
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Recenzje

"Few books concentrating on topics in Painlevé equations have been published, especially in English, since the appearance of those equations in the beginning of the last century. For this reason, this book written by Gromak, Laine and Shimomura is valuable for those who wish to learn quickly the fundamental properties of Painlevé equations without the need to refer to a large number of original papers on them [...]" Zentralblatt für Mathematik

"[...] due to the relatively elementary treatment of the complicated subject, the book under review will be able to attract the attention of specialists and young researchers." Mathematical Reviews

O autorze

Dr. Valerii Gromak works at the Belarussian State University in Minsk, Belarussia.

Ilpo Laine is Professor at the Mathematics Department of the University of Joensuu, Finland.

Shun Shimomura is Professor at the Mathematics Department of Keio University, Yokohama, Japan.