Involution: The Formal Theory of Differential Equations and Its Applications in Computer Algebra - Couverture souple

Seiler, Werner M.

9783642261350: Involution: The Formal Theory of Differential Equations and Its Applications in Computer Algebra

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ISBN 10 : 3642261353 ISBN 13 : 9783642261350

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2012

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Formal Geometry of Differential Equations.- Involution I: Algebraic Theory.- Completion to Involution.- Structure Analysis of Polynomial Modules.- Involution II: Homological Theory.- Involution III: Differential Theory.- The Size of the Formal Solution Space.- Existence and Uniqueness of Solutions.- Linear Differential Equations.- Miscellaneous.- Algebra.- Differential Geometry.

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� propos de l?auteur

W.M. Seiler is professor for computational mathematics (algorithmic algebra) at Kassel University. His research fields include differential equations, commutative algebra and mechanics. He is particularly interested in combining geometric and algebraic approaches. For many years, he has been an external developer for the computer algebra system MuPAD.

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�diteur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'�dition: 2012
Langue: anglais
ISBN 10: 3642261353
ISBN 13: 9783642261350
Reliure: Broch�
Nombre de pages: 650
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Involution: The Formal Theory of Differential Equations and its Applications in Computer Algebra (Algorithms and Computation in Mathematics, 24)

Seiler, Werner M.

Edit� par Springer, 2012

ISBN 10 : 3642261353 ISBN 13 : 9783642261350

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Involution

Werner M. Seiler

Edit� par Springer Berlin Heidelberg, 2012

ISBN 10 : 3642261353 ISBN 13 : 9783642261350

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Ground-breaking monograph on the topicW.M. Seiler is professor for computational mathematics (algorithmic algebra) at Kassel University. His research fields include differential equations, commutative algebra and mechanics. He is particularly interes. N� de r�f. du vendeur 5054209

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Involution : The Formal Theory of Differential Equations and its Applications in Computer Algebra

Werner M. Seiler

Edit� par Springer Berlin Heidelberg, 2012

ISBN 10 : 3642261353 ISBN 13 : 9783642261350

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - As long as algebra and geometry proceeded along separate paths, their advance was slow and their applications limited. But when these sciences joined company they drew from each other fresh vitality and thenceforward marched on at rapid pace towards perfection Joseph L. Lagrange The theory of differential equations is one of the largest elds within mathematics and probably most graduates in mathematics have attended at least one course on differentialequations. But differentialequationsare also offundamentalimportance in most applied sciences; whenever a continuous process is modelled mathem- ically, chances are high that differential equations appear. So it does not surprise that many textbooks exist on both ordinary and partial differential equations. But the huge majority of these books makes an implicit assumption on the structure of the equations: either one deals with scalar equations or with normal systems, i. e. with systems in Cauchy Kovalevskaya form. The main topic of this book is what happens, if this popular assumption is dropped. This is not just an academic exercise; non-normal systems are ubiquitous in - plications. Classical examples include the incompressible Navier Stokes equations of uid dynamics, Maxwell s equations of electrodynamics, the Yang Mills eq- tions of the fundamental gauge theories in modern particle physics or Einstein s equations of general relativity. But also the simulation and control of multibody systems, electrical circuits or chemical reactions lead to non-normal systems of - dinary differential equations, often called differential algebraic equations. In fact, most of the differentialequationsnowadaysencounteredby engineersand scientists are probably not normal. N� de r�f. du vendeur 9783642261350

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Involution

Werner M. Seiler

Edit� par Springer Berlin Heidelberg Mrz 2012, 2012

ISBN 10 : 3642261353 ISBN 13 : 9783642261350

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -As long as algebra and geometry proceeded along separate paths, their advance was slow and their applications limited. But when these sciences joined company they drew from each other fresh vitality and thenceforward marched on at rapid pace towards perfection Joseph L. Lagrange The theory of differential equations is one of the largest elds within mathematics and probably most graduates in mathematics have attended at least one course on differentialequations. But differentialequationsare also offundamentalimportance in most applied sciences; whenever a continuous process is modelled mathem- ically, chances are high that differential equations appear. So it does not surprise that many textbooks exist on both ordinary and partial differential equations. But the huge majority of these books makes an implicit assumption on the structure of the equations: either one deals with scalar equations or with normal systems, i. e. with systems in Cauchy Kovalevskaya form. The main topic of this book is what happens, if this popular assumption is dropped. This is not just an academic exercise; non-normal systems are ubiquitous in - plications. Classical examples include the incompressible Navier Stokes equations of uid dynamics, Maxwell s equations of electrodynamics, the Yang Mills eq- tions of the fundamental gauge theories in modern particle physics or Einstein s equations of general relativity. But also the simulation and control of multibody systems, electrical circuits or chemical reactions lead to non-normal systems of - dinary differential equations, often called differential algebraic equations. In fact, most of the differentialequationsnowadaysencounteredby engineersand scientists are probably not normal. 672 pp. Englisch. N� de r�f. du vendeur 9783642261350

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Involution

Werner M. Seiler

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg M�r 2012, 2012

ISBN 10 : 3642261353 ISBN 13 : 9783642261350

Neuf Taschenbuch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Neuware -As long as algebra and geometry proceeded along separate paths, their advance was slow and their applications limited. But when these sciences joined company they drew from each other fresh vitality and thenceforward marched on at rapid pace towards perfection Joseph L. Lagrange The theory of differential equations is one of the largest elds within mathematics and probably most graduates in mathematics have attended at least one course on differentialequations. But differentialequationsare also offundamentalimportance in most applied sciences; whenever a continuous process is modelled mathem- ically, chances are high that differential equations appear. So it does not surprise that many textbooks exist on both ordinary and partial differential equations. But the huge majority of these books makes an implicit assumption on the structure of the equations: either one deals with scalar equations or with normal systems, i. e. with systems in Cauchy�Kovalevskaya form. The main topic of this book is what happens, if this popular assumption is dropped. This is not just an academic exercise; non-normal systems are ubiquitous in - plications. Classical examples include the incompressible Navier�Stokes equations of uid dynamics, Maxwell�s equations of electrodynamics, the Yang�Mills eq- tions of the fundamental gauge theories in modern particle physics or Einstein�s equations of general relativity. But also the simulation and control of multibody systems, electrical circuits or chemical reactions lead to non-normal systems of - dinary differential equations, often called differential algebraic equations. In fact, most of the differentialequationsnowadaysencounteredby engineersand scientists are probably not normal.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 672 pp. Englisch. N� de r�f. du vendeur 9783642261350

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