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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Partial Differential Relations
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Partial Differential Relations
Misha Gromov (Gebundene Ausgabe, Englisch)
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Beschreibung
The classical theory of partial differential equations is rooted in physics, where equations (are assumed to) describe the laws of nature. Law abiding functions, which satisfy such an equation, are very rare in the space of all admissible functions (regardless of a particular topology in a function space). Moreover, some additional (like initial or boundary) conditions often insure the uniqueness… of solutions. The existence of these is usually established with some apriori estimates which locate a possible solution in a given function space. We deal in this book with a completely different class of partial differential equations (and more general relations) which arise in differential geometry rather than in physics. Our equations are, for the most part, undetermined (or, at least, behave like those) and their solutions are rather dense in spaces of functions. We solve and classify solutions of these equations by means of direct (and not so direct) geometric constructions. Our exposition is elementary and the proofs of the basic results are selfcontained. However, there is a number of examples and exercises (of variable difficulty), where the treatment of a particular equation requires a certain knowledge of pertinent facts in the surrounding field. The techniques we employ, though quite general, do not cover all geometrically interesting equations. The border of the unexplored territory is marked by a number of open questions throughout the book. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.09.1986
Sprache
Englisch
EAN
9783540121770
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Sonderedition
Nein
Autor
Misha Gromov
Seitenanzahl
363
Einbandart
Gebundene Ausgabe
Schlagwörter
DEX, addition, construction, differential equation, differential geometry, equation, function space, geometry, immersion, knowledge, partial differential equation, proof, techniques, topology, variable
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
Höhe
234 mm
Breite
15.6 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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