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On Finiteness in Differential Equations and Diophantine Geometry (CRM Monograph Series, 24, Band 24) - Hardcover
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Adding to the substantial and significant work done in the last few decades on finiteness conjectures, this monograph focuses on their results in ordinary differential equations and Diophantine geometry, one of the few problems on Hilbert's list to remain unsolved. The authors describe their work in the existence and estimation of finite bounds for the number of limit cycles occurring in certain families of ordinary differential equations, and includes their methods such as bifurcation theory, asymtotic expansions, and methods of differential algebra. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)
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On Finiteness in Differential Equations and Diophantine Geometry
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On Finiteness in Differential Equations and Diophantine Geometry
Verlag:
American Mathematical Society, US, 2005
ISBN 10: 0821828053
ISBN 13: 9780821828052
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Hardback. Zustand: New. This book focuses on finiteness conjectures and results in ordinary differential equations (ODEs) and Diophantine geometry. During the past twenty-five years, much progress has been achieved on finiteness conjectures, which are the offspring of the second part of Hilbert's 16th problem. Even in its simplest case, this is one of the very few problems on Hilbert's list which remains unsolved. These results are about existence and estimation of finite bounds for the number of limit cycles occurring in certain families of ODEs.The book describes this progress, the methods used (bifurcation theory, asymptotic expansions, methods of differential algebra, or geometry) and the specific results obtained. The finiteness conjectures on limit cycles are part of a larger picture that also includes finiteness problems in other areas of mathematics, in particular those in Diophantine geometry where remarkable results were proved during the same period of time. There is a chapter devoted to finiteness results in Diophantine geometry obtained by using methods of differential algebra, which is a connecting element between these parallel developments in the book.The volume can be used as an independent study text for advanced undergraduates and graduate students studying ODEs or applications of differential algebra to differential equations and Diophantine geometry. It is also a good entry point for researchers interested these areas, in particular, in limit cycles of ODEs, and in finiteness problems. Contributors to the volume include Andrei A. Bolibrukh and Alexandru Buium. Available from the AMS by A. Buium is ""Arithmetic Differential Equations"", as Volume 118 in the ""Mathematical Surveys and Monographs"" series. Bestandsnummer des Verkäufers LU-9780821828052
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On Finiteness in Differential Equations and Diophantine Geometry (CRM Monograph)
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American Mathematical Society, 2005
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ISBN 13: 9780821828052
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On Finiteness in Differential Equations and Diophantine Geometry
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American Mathematical Society, 2005
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ISBN 13: 9780821828052
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On Finiteness in Differential Equations and Diophantine Geometry (Crm Monograph Series)
ISBN 10: 0821828053
ISBN 13: 9780821828052
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Zustand: New. Over the years, much progress has been achieved on finiteness conjectures, which are the offspring of the second part of Hilbert's 16th problem. This book describes this progress, the methods used (bifurcation theory, asymptotic expansions, methods of differential algebra, or geometry) and the specific results obtained. Series: CRM Monograph Series. Num Pages: 224 pages, illustrations. BIC Classification: PBKJ; PBMS. Category: (P) Professional & Vocational. Weight in Grams: 553. . 2005. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821828052
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On Finiteness in Differential Equations and Diophantine Geometry
Verlag:
American Mathematical Society, US, 2005
ISBN 10: 0821828053
ISBN 13: 9780821828052
Neu
Hardcover
Anbieter: Rarewaves.com UK, London, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Hardback. Zustand: New. This book focuses on finiteness conjectures and results in ordinary differential equations (ODEs) and Diophantine geometry. During the past twenty-five years, much progress has been achieved on finiteness conjectures, which are the offspring of the second part of Hilbert's 16th problem. Even in its simplest case, this is one of the very few problems on Hilbert's list which remains unsolved. These results are about existence and estimation of finite bounds for the number of limit cycles occurring in certain families of ODEs.The book describes this progress, the methods used (bifurcation theory, asymptotic expansions, methods of differential algebra, or geometry) and the specific results obtained. The finiteness conjectures on limit cycles are part of a larger picture that also includes finiteness problems in other areas of mathematics, in particular those in Diophantine geometry where remarkable results were proved during the same period of time. There is a chapter devoted to finiteness results in Diophantine geometry obtained by using methods of differential algebra, which is a connecting element between these parallel developments in the book.The volume can be used as an independent study text for advanced undergraduates and graduate students studying ODEs or applications of differential algebra to differential equations and Diophantine geometry. It is also a good entry point for researchers interested these areas, in particular, in limit cycles of ODEs, and in finiteness problems. Contributors to the volume include Andrei A. Bolibrukh and Alexandru Buium. Available from the AMS by A. Buium is ""Arithmetic Differential Equations"", as Volume 118 in the ""Mathematical Surveys and Monographs"" series. Bestandsnummer des Verkäufers LU-9780821828052
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On Finiteness in Differential Equations and Diophantine Geometry (Crm Monograph Series)
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ISBN 13: 9780821828052
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Zustand: New. Over the years, much progress has been achieved on finiteness conjectures, which are the offspring of the second part of Hilbert's 16th problem. This book describes this progress, the methods used (bifurcation theory, asymptotic expansions, methods of differential algebra, or geometry) and the specific results obtained. Series: CRM Monograph Series. Num Pages: 224 pages, illustrations. BIC Classification: PBKJ; PBMS. Category: (P) Professional & Vocational. Weight in Grams: 553. . 2005. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821828052
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