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Painleve Transcendents: The Riemann-Hilbert Approach: 128.S (Mathematical Surveys and Monographs)
Athanassios S. Fokas; Alexander R. Its; Andrei A. Kapaev; Victor Yu. Novokshenov
- Softcover
Anbieter: Kennys Bookshop and Art Galleries Ltd., Galway, GY, IrlandKennys Bookshop and Art Galleries Ltd.
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EUR 117,47
EUR 9,50 VersandVersand von Irland nach USAAnzahl: Mehr als 20 verfügbar
Zustand: New. 2023. paperback. . . . . .
Painleve Transcendents: The Riemann-Hilbert Approach: 128.S (Mathematical Surveys and Monographs)
Athanassios S. Fokas (author) (Author)/ Alexander R. Its (author) (Author)/ Andrei A. Kapaev (author) & Victor Yu. Novokshenov (author) (Author)
- Softcover
Anbieter: Revaluation Books, Exeter, Vereinigtes KönigreichRevaluation Books
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EUR 125,90
EUR 14,55 VersandVersand von Vereinigtes Königreich nach USAAnzahl: 2 verfügbar
Paperback. Zustand: Brand New. 553 pages. 7.28x1.26x10.04 inches. In Stock.
Painleve Transcendents
Athanassios S. Fokas, Alexander R. Its, Andrei A. Kapaev, Victor Yu. Novokshenov
- Softcover
Anbieter: Rarewaves.com USA, London, LONDO, Vereinigtes KönigreichRarewaves.com USA
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EUR 151,65
Versand gratisVersand von Vereinigtes Königreich nach USAAnzahl: 11 verfügbar
Paperback. Zustand: New. At the turn of the twentieth century, the French mathematician Paul Painleve 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 condition…s. It turned out that there are only six such equations (up to natural equivalence), which later became known as Painleve 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 Painleve transcendents (i.e., the solutions of the Painleve 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 Painleve equations are nonlinear, it is still possible, using a new technique called the Riemann-Hilbert formalism, to obtain analogous explicit formulas for the Painleve transcendents. This striking fact, apparently unknown to Painleve 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 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: 128.S (Mathematical Surveys and Monographs)
Athanassios S. Fokas; Alexander R. Its; Andrei A. Kapaev; Victor Yu. Novokshenov
- Softcover
Anbieter: Kennys Bookstore, Olney, MD, USAKennys Bookstore
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EUR 146,41
EUR 9,04 VersandVersand innerhalb von USAAnzahl: Mehr als 20 verfügbar
Zustand: New. 2023. paperback. . . . . . Books ship from the US and Ireland.
Painlev? Transcendents
Athanassios S. Fokas; Alexander R. Its; Andrei A. Kapaev; Victor Yu. Novokshenov
- Softcover
Anbieter: Majestic Books, Hounslow, Vereinigtes KönigreichMajestic Books
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EUR 151,96
EUR 7,57 VersandVersand von Vereinigtes Königreich nach USAAnzahl: 3 verfügbar
Zustand: New.
Painlev? Transcendents
Athanassios S. Fokas; Alexander R. Its; Andrei A. Kapaev; Victor Yu. Novokshenov
- Softcover
Anbieter: Books Puddle, New York, NY, USABooks Puddle
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EUR 163,90
EUR 3,44 VersandVersand innerhalb von USAAnzahl: 3 verfügbar
Zustand: New.
Painlevé Transcendents
Athanassios S. Fokas; Alexander R. Its; Andrei A. Kapaev; Victor Yu. Novokshenov
- Softcover
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes KönigreichRia Christie Collections
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EUR 174,47
EUR 13,94 VersandVersand von Vereinigtes Königreich nach USAAnzahl: Mehr als 20 verfügbar
Zustand: New. In English.
Painleve Transcendents
Athanassios S. Fokas, Alexander R. Its, Andrei A. Kapaev, Victor Yu. Novokshenov
- Softcover
Anbieter: Rarewaves.com UK, London, Vereinigtes KönigreichRarewaves.com UK
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EUR 147,96
EUR 75,65 VersandVersand von Vereinigtes Königreich nach USAAnzahl: 11 verfügbar
Paperback. Zustand: New. At the turn of the twentieth century, the French mathematician Paul Painleve 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 condition…s. It turned out that there are only six such equations (up to natural equivalence), which later became known as Painleve 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 Painleve transcendents (i.e., the solutions of the Painleve 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 Painleve equations are nonlinear, it is still possible, using a new technique called the Riemann-Hilbert formalism, to obtain analogous explicit formulas for the Painleve transcendents. This striking fact, apparently unknown to Painleve 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 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.
