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Natural Operations in Differential Geometry - Ivan Kolar Peter W. Michor Jan Slovak
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Ivan Kolar Peter W. Michor Jan Slovak:

Natural Operations in Differential Geometry - primeira edição

1993, ISBN: 9783540562351

Edição encadernada

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Natural Operations in Differential Geometry - Kolar, Ivan; Slovak, Jan; Michor, Peter W.
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Kolar, Ivan; Slovak, Jan; Michor, Peter W.:

Natural Operations in Differential Geometry - encadernado, livro de bolso

1993, ISBN: 3540562354

1993 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Physik / Quantenphysik, Quantenphysik, Geometrie, Physik der kondensierten Materie (Flüssigkeits- und Fe… mais…

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Natural Operations in Differential Geometry - Kolar, Ivan, Michor, Peter W. Slovak, Jan
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Kolar, Ivan, Michor, Peter W. Slovak, Jan:
Natural Operations in Differential Geometry - encadernado, livro de bolso

1993

ISBN: 9783540562351

Springer, Gebundene Ausgabe, Auflage: 1993, 440 Seiten, Publiziert: 1993-02-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: bibliography, 1.76 kg, Verkaufsrang: 2392908, Computer & Int… mais…

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Natural Operations in Differential Geometry - Kolar, Ivan, Peter W. Michor und Jan Slovak
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Kolar, Ivan, Peter W. Michor und Jan Slovak:
Natural Operations in Differential Geometry - livro usado

1993, ISBN: 9783540562351

[PU: Springer Berlin], Gebrauchs- und Lagerspuren. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. 490417/203, DE, [SC: 0.00], gebraucht; gut, gewerbliches Ange… mais…

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Natural Operations in Differential Geometry - Kolar, Ivan, Peter W. Michor und Jan Slovak
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Kolar, Ivan, Peter W. Michor und Jan Slovak:
Natural Operations in Differential Geometry - livro usado

1993, ISBN: 9783540562351

[PU: Springer Berlin], Gebrauchs- und Lagerspuren. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. 490417/203, DE, [SC: 0.00], gebraucht; gut, gewerbliches Ange… mais…

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Natural Operations in Differential Geometry
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9783540562351


The literature on natural bundles and natural operators in differential geometry, was until now, scattered in the mathematical journal literature. This book is the first monograph on the subject, collecting this material in a unified presentation. The book begins with an introduction to differential geometry stressing naturality and functionality, and the general theory of connections on arbitrary fibered manifolds. The functional approach to classical natural bundles is extended to a large class of geometrically interesting categories. Several methods of finding all natural operators are given and these are identified for many concrete geometric problems. After reduction each problem to a finite order setting, the remaining discussion is based on properties of jet spaces, and the basic structures from the theory of jets are therefore described here too in a self-contained manner. The relations of these geometric problems to corresponding questions in mathematical physics are brought out in several places in the book, and it closes with a very comprehensive bibliography of over 300 items. This book is a timely addition to literature filling the gap that existed here and will be a standard reference on natural operators for the next few years.

Dados detalhados do livro - Natural Operations in Differential Geometry


EAN (ISBN-13): 9783540562351
ISBN (ISBN-10): 3540562354
Livro de capa dura
Livro de bolso
Ano de publicação: 2007
Editor/Editora: Springer
444 Páginas
Peso: 0,818 kg
Língua: eng/Englisch

Livro na base de dados desde 2007-10-27T07:52:59+01:00 (Lisbon)
Página de detalhes modificada pela última vez em 2024-03-02T04:40:22+00:00 (Lisbon)
Número ISBN/EAN: 9783540562351

Número ISBN - Ortografia alternativa:
3-540-56235-4, 978-3-540-56235-1
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: michor peter, jan kolar
Título do livro: differential geometry, natural, oper

Dados da editora

Autor: Ivan Kolar; Peter W. Michor; Jan Slovak
Título: Natural Operations in Differential Geometry
Editora: Springer; Springer Berlin
434 Páginas
Ano de publicação: 1993-02-04
Berlin; Heidelberg; DE
Peso: 1,760 kg
Língua: Inglês
128,39 € (DE)
131,99 € (AT)
142,00 CHF (CH)
POD
VI, 434 p.

BB; Differential Geometry; Hardcover, Softcover / Mathematik/Geometrie; Differentielle und Riemannsche Geometrie; Verstehen; Category over Manifolds; Jet; Natural Bundle; Natural Operator; differential geometry; manifold; mathematical physics; Quantum Information Technology, Spintronics; Geometry; Quantum Physics; Differential Geometry; Spintronics; Geometry; Quantum Physics; Materialwissenschaft; Physik der kondensierten Materie (Flüssigkeits- und Festkörperphysik); Geometrie; Quantenphysik (Quantenmechanik und Quantenfeldtheorie); BC; EA

I. Manifolds and Lie Groups.- II. Differential Forms.- III. Bundles and Connections.- IV. Jets and Natural Bundles.- V. Finite Order Theorems.- VI. Methods for Finding Natural Operators.- VII. Further Applications.- VIII. Product Preserving Functors.- IX. Bundle Functors on Manifolds.- X. Prolongation of Vector Fields and Connections.- XI. General Theory of Lie Derivatives.- XII. Gauge Natural Bundles and Operators.- References.- List of symbols.- Author index.

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