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Differential Galois Theory and Lie-Vessiot Systems, Analytic and Algebraic Theory of Lie-Vessiot Systems and Superposition Laws for Ordinary Differential Equations - David Blazquez-Sanz
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David Blazquez-Sanz:

Differential Galois Theory and Lie-Vessiot Systems, Analytic and Algebraic Theory of Lie-Vessiot Systems and Superposition Laws for Ordinary Differential Equations - neues Buch

2008, ISBN: 9783639096019

ID: 1001004009675704

The purpose of this work is to develop a differential Galois theory for differential equations admitting superposition laws. First, we characterize those differential equations in terms of Lie group actions, generalizing some classical results due to S. Lie. We call them Lie-Vessiot systems. Then, we develop a differential Galois theory for Lie-Vessiot systems both in the complex analytic and algebraic contexts. In the complex analytic context we give a theory that generalizes the tannakian appr..., The purpose of this work is to develop a differential Galois theory for differential equations admitting superposition laws. First, we characterize those differential equations in terms of Lie group actions, generalizing some classical results due to S. Lie. We call them Lie-Vessiot systems. Then, we develop a differential Galois theory for Lie-Vessiot systems both in the complex analytic and algebraic contexts. In the complex analytic context we give a theory that generalizes the tannakian approach to the classical Picard-Vessiot theory. In the algebraic case, we study differential equations under the formalism of differential algebra. We prove that algebraic Lie-Vessiot systems are solvable in strongly normal extensions. Therefore, Lie-Vessiot systems are differential equations attached to the Kolchin's differential Galois theory.Taal: Engels; Afmetingen: 10x229x152 mm; Gewicht: 263,00 gram; Verschijningsdatum: oktober 2008; ISBN10: 3639096010; ISBN13: 9783639096019; , Engelstalig | Paperback | 2008, Studie & Management, Exacte wetenschappen, Wiskunde & Statistiek, Vdm Verlag Dr. Mueller E.K.

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Differential Galois Theory and Lie-Vessiot Systems - Analytic and Algebraic Theory of Lie-Vessiot Systems and Superposition Laws for Ordinary Differential Equations
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Differential Galois Theory and Lie-Vessiot Systems - Analytic and Algebraic Theory of Lie-Vessiot Systems and Superposition Laws for Ordinary Differential Equations - Taschenbuch

2008, ISBN: 9783639096019

[ED: Taschenbuch / Paperback], [PU: VDM Verlag Dr. Müller], The purpose of this work is to develop a differential Galois theory for differential equations admitting superposition laws. First, we characterize those differential equations in terms of Lie group actions, generalizing some classical results due to S. Lie. We call them Lie-Vessiot systems. Then, we develop a differential Galois theory for Lie-Vessiot systems both in the complex analytic and algebraic contexts. In the complex analytic context we give a theory that generalizes the tannakian approach to the classical Picard-Vessiot theory. In the algebraic case, we study differential equations under the formalism of differential algebra. We prove that algebraic Lie-Vessiot systems are solvable in strongly normal extensions. Therefore, Lie-Vessiot systems are differential equations attached to the Kolchin''s differential Galois theory., [SC: 0.00], Neuware, gewerbliches Angebot, H: 220mm, B: 150mm, T: 10mm, [GW: 270g]

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Differential Galois Theory and Lie-Vessiot Systems - David Blázquez-Sanz
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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David Blázquez-Sanz:
Differential Galois Theory and Lie-Vessiot Systems - neues Buch

2013

ISBN: 9783639096019

ID: 621674098

The purpose of this work is to develop a differential Galois theory for differential equations admitting superposition laws. First, we characterize those differential equations in terms of Lie group actions, generalizing some classical results due to S. Lie. We call them Lie-Vessiot systems. Then, we develop a differential Galois theory for Lie-Vessiot systems both in the complex analytic and algebraic contexts. In the complex analytic context we give a theory that generalizes the tannakian approach to the classical Picard-Vessiot theory. In the algebraic case, we study differential equations under the formalism of differential algebra. We prove that algebraic Lie-Vessiot systems are solvable in strongly normal extensions. Therefore, Lie-Vessiot systems are differential equations attached to the Kolchin´´s differential Galois theory. Analytic and Algebraic Theory of Lie-Vessiot Systems and Superposition Laws for Ordinary Differential Equations Bücher > Sachbücher > Naturwissenschaften & Technik > Mathematik Taschenbuch 26.10.2013 Buch (fremdspr.), VDM, .201

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Differential Galois Theory and Lie-Vessiot Systems - David Blázquez-Sanz
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
David Blázquez-Sanz:
Differential Galois Theory and Lie-Vessiot Systems - neues Buch

ISBN: 9783639096019

ID: 770ee8f8319a90a20c43623721e2d19a

Analytic and Algebraic Theory of Lie-Vessiot Systems and Superposition Laws for Ordinary Differential Equations The purpose of this work is to develop a differential Galois theory for differential equations admitting superposition laws. First, we characterize those differential equations in terms of Lie group actions, generalizing some classical results due to S. Lie. We call them Lie-Vessiot systems. Then, we develop a differential Galois theory for Lie-Vessiot systems both in the complex analytic and algebraic contexts. In the complex analytic context we give a theory that generalizes the tannakian approach to the classical Picard-Vessiot theory. In the algebraic case, we study differential equations under the formalism of differential algebra. We prove that algebraic Lie-Vessiot systems are solvable in strongly normal extensions. Therefore, Lie-Vessiot systems are differential equations attached to the Kolchin''s differential Galois theory. Bücher / Sachbücher / Naturwissenschaften & Technik / Mathematik 978-3-639-09601-9, VDM

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Differential Galois Theory and Lie-Vessiot Systems: Analytic and Algebraic Theory of Lie-Vessiot Systemsand Superposition Laws for Ordinary DifferentialEquations - David Blázquez-Sanz
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(*)
David Blázquez-Sanz:
Differential Galois Theory and Lie-Vessiot Systems: Analytic and Algebraic Theory of Lie-Vessiot Systemsand Superposition Laws for Ordinary DifferentialEquations - Taschenbuch

ISBN: 3639096010

Taschenbuch, [EAN: 9783639096019], Vdm Verlag Dr. Müller E.K., Vdm Verlag Dr. Müller E.K., Book, [PU: Vdm Verlag Dr. Müller E.K.], Vdm Verlag Dr. Müller E.K., 295107, Algebra & Zahlentheorie, 519802, Abstrakte Algebra, 295101, Algebraische Geometrie, 519804, Algebraische Topologie, 519806, Codierungstheorie, 295084, Graphentheorie, 295122, Gruppen, Körper & Ringe, 295123, Kombinatorik, 519814, Kryptografie, 295110, Lineare Algebra, 519816, Matrixtheorie, 295126, Zahlentheorie, 290521, Mathematik, 288100, Fachbücher, 541686, Kategorien, 186606, Bücher, 189275, Mathematik, 121, Naturwissenschaften & Technik, 541686, Kategorien, 186606, Bücher

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Differential Galois Theory and Lie-Vessiot Systems
Autor:

Blázquez-Sanz David

Titel:

Differential Galois Theory and Lie-Vessiot Systems

ISBN-Nummer:

9783639096019

The purpose of this work is to develop a differential Galois theory for differential equations admitting superposition laws. First, we characterize those differential equations in terms of Lie group actions, generalizing some classical results due to S. Lie. We call them Lie-Vessiot systems. Then, we develop a differential Galois theory for Lie-Vessiot systems both in the complex analytic and algebraic contexts. In the complex analytic context we give a theory that generalizes the tannakian approach to the classical Picard-Vessiot theory. In the algebraic case, we study differential equations under the formalism of differential algebra. We prove that algebraic Lie-Vessiot systems are solvable in strongly normal extensions. Therefore, Lie-Vessiot systems are differential equations attached to the Kolchin's differential Galois theory.

Detailangaben zum Buch - Differential Galois Theory and Lie-Vessiot Systems


EAN (ISBN-13): 9783639096019
ISBN (ISBN-10): 3639096010
Taschenbuch
Erscheinungsjahr: 2008
Herausgeber: VDM Verlag
192 Seiten
Gewicht: 0,302 kg
Sprache: ger/Deutsch

Buch in der Datenbank seit 12.01.2009 14:13:15
Buch zuletzt gefunden am 26.01.2017 10:01:36
ISBN/EAN: 9783639096019

ISBN - alternative Schreibweisen:
3-639-09601-0, 978-3-639-09601-9

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