Painleve Transcendents
The Riemann-Hilbert Approach
$373.22
- Paperback
553 pages
- Release Date
31 October 2006
Summary
At the turn of the twentieth century, the French mathematician Paul Painlevé and his students classified second-order nonlinear ordinary differential equations with the property that the location of possible branch points and essential singularities of their solutions does not depend on initial conditions. It turned out that there are only six such equations (up to natural equivalence), which later became known as Painlevé I-VI.
Although these equations were initially obtained answeri…
Book Details
| ISBN-13: | 9781470475567 |
|---|---|
| ISBN-10: | 1470475561 |
| Author: | Athanassios S. Fokas, Alexander R. Its, Andrei A. Kapaev, Victor Yu. Novokshenov |
| Publisher: | American Mathematical Society |
| Imprint: | American Mathematical Society |
| Format: | Paperback |
| Number of Pages: | 553 |
| Release Date: | 31 October 2006 |
| Weight: | 1.03kg |
| Dimensions: | 185mm x 255mm |
| Series: | Mathematical Surveys and Monographs |
What They're Saying
Critics Review
The book by Fokas et al. is a comprehensive, substantial, and impressive piece of work. Although much of the book is highly technical, the authors try to explain to the reader what they are trying to do. … This book complements other monographs on the Painlevi equations. – Journal of Approximation Theory The book is indispensable for both students and researchers working in the field. The authors include all necessary proofs of the results and the background material and, thus, the book is easy to read. – Mathematical Reviews
About The Author
Athanassios S. Fokas
Athanassios S. Fokas, Cambridge University, United Kingdom.
Alexander R. Its, Indiana University-Purdue University Indianapolis, IN.
Andrei A. Kapaev and Victor Yu. Novokshenov, Russian Academy of Sciences, Ufa, Russia.
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