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Bibliografische Details

Titel: Local Analysis: First Order Differential Equations and Differential Forms
Verlag: Akademie Verlag
Erscheinungsjahr: 1994
Sprache: Englisch
ISBN-10: 3055016459
ISBN-13: 9783055016455
Einband: Hardcover
Zustand: Very Good

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Inhaltsangabe

The second part of "Local Analysis" is wholly based on the first one and provides a detailed introduction to the initial value problems of certain systems of first order ordinary and partial differential equations as well as to the theory of differential forms. The latter ones are given a concrete meaning in that the differentials are interpreted as elements of the dual basis whereby the differential forms turn out to be basis representations of alternating covariant tensor fields. Purely algebraic and analytic investigations are kept apart strictly from each other. The book aims at Pfaff's problem for which the maximal dimension of integral surfaces of a linear functional field is determined. And since the Cauchy-Kowaleski theorem is not applied, the occuring functions need not be assumed analytic but merely continuously differentiable a sufficiently large mnumber of times.

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