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ISBN: 9783642261350
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Involution: The Formal Theory of Differential Equations and its Applications in Computer Algebra
ISBN: 9783642261350 bzw. 3642261353, in Deutsch, Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Taschenbuch, neu.
Paperback. 650 pages. Dimensions: 9.0in. x 6.0in. x 1.7in.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 CauchyKovalevskaya 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 NavierStokes equations of uid dynamics, Maxwells equations of electrodynamics, the YangMills eq- tions of the fundamental gauge theories in modern particle physics or Einsteins 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN.
Involution - The Formal Theory of Differential Equations and its Applications in Computer Algebra (Algorithms and Computation in Mathematics, Vol 24)
ISBN: 9783642012877 bzw. 3642012876, in Deutsch, Springer-Verlag, neu, E-Book, elektronischer Download.
The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas. It presents for the first time in book form the theory of Pommaret bases, a special kind of Gröbner bases closely related to Koszul homology, and contains an extensive discussion of the existence and uniqueness of solutions of formally well-posed initial value problems and a novel presentation of Vessiots dual version of the Cartan-Kähler theory. Special emphasis is put on a constructive approach leading to effective algorithms.
Involution (2012)
ISBN: 9783642261350 bzw. 3642261353, in Deutsch, Springer, Taschenbuch, neu.
The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas. 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. Taschenbuch, 14.03.2012.
Involution
ISBN: 9783642261350 bzw. 3642261353, in Deutsch, Springer, neu.
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.
Involution
ISBN: 9783642261350 bzw. 3642261353, in Englisch, Springer, Berlin/Heidelberg/New York, NY, Germany, neu.
The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas. 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.
Involution - The Formal Theory of Differential Equations and its Applications in Computer Algebra
ISBN: 9783642012877 bzw. 3642012876, in Deutsch, Springer Berlin, neu, E-Book, elektronischer Download.
Involution: 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 CauchyKovalevskaya 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 NavierStokes equations of uid dynamics, Maxwells equations of electrodynamics, the YangMills eq- tions of the fundamental gauge theories in modern particle physics or Einsteins 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. Englisch, Ebook.
Involution (2009)
ISBN: 9783642012877 bzw. 3642012876, in Deutsch, Springer, neu, E-Book.
The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas. Zur Zeit liegt uns keine Inhaltsangabe vor. 26.10.2009, PDF.
Involution (2010)
ISBN: 9783642012877 bzw. 3642012876, in Deutsch, Springer, Berlin/Heidelberg/New York, NY, Deutschland, neu.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Involution (2010)
ISBN: 3642261353 bzw. 9783642261350, vermutlich in Englisch, Springer Berlin Heidelberg, Taschenbuch, neu.
Involution
ISBN: 9783642261350 bzw. 3642261353, vermutlich in Englisch, Springer Shop, Taschenbuch, neu.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen