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Free eBook Painleve Transcendents: The Riemann-hilbert Approach (Mathematical Surveys and Monographs) download

by Athanassios S. Fokas,Alexander R. Its,Andrei A. Kapaev,Victor Yu. Novokshenov

Free eBook Painleve Transcendents: The Riemann-hilbert Approach (Mathematical Surveys and Monographs) download ISBN: 082183651X
Author: Athanassios S. Fokas,Alexander R. Its,Andrei A. Kapaev,Victor Yu. Novokshenov
Publisher: American Mathematical Society (October 10, 2006)
Language: English
Pages: 560
Category: Math Science
Subcategory: Mathematics
Size MP3: 1154 mb
Size FLAC: 1930 mb
Rating: 4.3
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Series: Mathematical Surveys and Monographs.

Series: Mathematical Surveys and Monographs.

Extra resources for Painleve Transcendents: The Riemann-hilbert Approach. This method is described under rain screen construction on page 72. Connections As defined on page 22 these must fulfil the following functional requirements: 1 be able to transfer safely the imposed loads without high local stresses; 2 not move or rotate excessively; 3 accommodate tolerances in the components; 4 require little temporary support, permit adjustment and be simple to make; 5 permit adequate inspection and rectification if necessary

Athanassios S. Fokas; Alexander R. Its; Andrei A. Kapaev; Victor Y. This book complements other monographs on the Painlevi equations. Journal of Approximation Theory.

Athanassios S. Kapaev; Victor Yu. Novokshenov. In addition, the book contains an ample collection of material concerning the asymptotics of the Painlevé functions and their various applications, which makes it a good reference source for everyone working in the theory and applications of Painlevé equations and related areas.

Painleve Transcendents: . .has been added to your Cart. Series: Mathematical Surveys and Monographs (Book 128). by Athanassios S. Fokas (Author), Alexander R. Its (Author), Andrei A. Kapaev (Author), Victor Yu. Novokshenov (Author) & 1 more.

Fokas, Athanassios . Its, Alexander . Kapaev, Andrei . Novokshenov, Victor Y. Noumi, Masatoshi (2004), Painlevé equations through symmetry, Translations of Mathematical Monographs, 223, Providence, . Novokshenov, Victor Yu. (2006), Painlevé transcendents: The Riemann–Hilbert approach, Mathematical Surveys and Monographs, 128, Providence, . American Mathematical Society, ISBN 978-0-8218-3651-4, MR 2264522. Fuchs, Richard (1906), "Sur quelques équations différentielles linéaires du second ordre", Comptes Rendus, 141: 555–558. American Mathematical Society, ISBN 978-0-8218-3221-9, MR 2044201.

Boris Dubrovin a and Andrei Kapaev b a) SISSA, Via Bonomea 265, 34136 .

Boris Dubrovin a and Andrei Kapaev b a) SISSA, Via Bonomea 265, 34136, Trieste, Italy b) Deceased. Received February 07, 2018, in final form August 15, 2018; Published online September 07, 2018. Painlevé transcendents. The Riemann-Hilbert approach, Mathematical Surveys and Monographs, Vol. 128, Amer. So. Providence, RI, 2006.

The Riemann-Hilbert approach. This book is the first comprehensive treatment of Painleve differential equations in the complex plane. Starting with a rigorous presentation for the meromorphic nature of their solutions, the Nevanlinna theory will be applied to offer a detailed exposition of growth aspects and value distribution of Painleve transcendents.

American Mathematical Society. Mathematical Surveys and Monographs. 2. Painleve Transcendents: The Riemann-hilbert Approach. Athanassios S. Fokas, Alexander R. Its, Andrei A. Kapaev, Victor Yu. American Mathematical Society.

S. Fokas, A. R. Its, A. A. Kapaev, and V. Yu. Novokshenov, Painlevé Transcendents: The Riemann-Hilbert Approach (Math. Kapaev, Differential Equations, 24, 1107–1115 (1988). 14. N. Joshi and A. V. Kitaev, Stud. Providence, R. I. (2006). zbMATHGoogle Scholar. 107, 253–291 (2001).

Painleve Transcendents: The Riemann-hilbert Approach (Mathematical Surveys and Monographs). 082183651X (ISBN13: 9780821836514).

In addition, the book contains an ample collection of material concerning the asymptotics of the Painleve functions and their various applications, which makes it a good reference source for everyone working in the theory and applications of Painleve equations and related areas. Painleve Transcendents: The Riemann-hilbert Approach (Mathematical Surveys and Monographs).

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 answering a strictly mathematical question, they appeared later in an astonishing (and growing) range of applications, including, e.g., statistical physics, fluid mechanics, random matrices, and orthogonal polynomials. Actually, it is now becoming clear that the Painlevé transcendents (i.e., the solutions of the Painlevé equations) play the same role in nonlinear mathematical physics that the classical special functions, such as Airy and Bessel functions, play in linear physics. The explicit formulas relating the asymptotic behaviour of the classical special functions at different critical points play a crucial role in the applications of these functions. It is shown in this book that even though the six Painlevé equations are nonlinear, it is still possible, using a new technique called the Riemann-Hilbert formalism, to obtain analogous explicit formulas for the Painlevé transcendents. This striking fact, apparently unknown to Painlevé and his contemporaries, is the key ingredient for the remarkable applicability of these "nonlinear special functions". The book describes in detail the Riemann-Hilbert method and emphasizes its close connection to classical monodromy theory of linear equations as well as to modern theory of integrable systems. In addition, the book contains an ample collection of material concerning the asymptotics of the Painlevé functions and their various applications, which makes it a good reference source for everyone working in the theory and applications of Pa