Local Analysis: First Order Differential Equations and Differential Forms

Scriba, Carl-Heinz

ISBN 10: 3055016459 / ISBN 13: 9783055016455

Editore: Akademie Verlag, 1994

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Codice articolo ZB1319683

Dati bibliografici

• Titolo: Local Analysis: First Order Differential Equations and Differential Forms
• Editore: Akademie Verlag
• Data di pubblicazione: 1994
• Lingua: Inglese
• ISBN 10: 3055016459
• ISBN 13: 9783055016455
• Rilegatura: Rilegato
• Condizione: Very Good

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Riassunto

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.