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Cover: 9780691081113 | Lie Equations, Vol. I | General Theory. (AM-73) | Kumpera (u. a.)
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Lie Equations, Vol. I
General Theory. (AM-73)
Taschenbuch von Antonio Kumpera (u. a.)
Sprache: Englisch

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Beschreibung
In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange's idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.
In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange's idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.
Über den Autor
Antonio Kumpera & Donald Clayton Spencer
Details
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780691081113
ISBN-10: 0691081115
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kumpera, Antonio
Spencer, Donald Clayton
Redaktion: Stein, Elias
Griffiths, Phillip
Hersteller: Princeton University Press
Maße: 229 x 152 x 18 mm
Von/Mit: Antonio Kumpera (u. a.)
Gewicht: 0,509 kg
Artikel-ID: 107488792
Über den Autor
Antonio Kumpera & Donald Clayton Spencer
Details
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780691081113
ISBN-10: 0691081115
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kumpera, Antonio
Spencer, Donald Clayton
Redaktion: Stein, Elias
Griffiths, Phillip
Hersteller: Princeton University Press
Maße: 229 x 152 x 18 mm
Von/Mit: Antonio Kumpera (u. a.)
Gewicht: 0,509 kg
Artikel-ID: 107488792
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