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First Order Differential Equations and Differential Forms (Part B) (Local Analysis) - Hardcover

 
9783055016455: First Order Differential Equations and Differential Forms (Part B) (Local Analysis)

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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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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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Scriba, Carl-Heinz
Verlag: Akademie Verlag, 1994
ISBN 10: 3055016459 ISBN 13: 9783055016455
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Anbieter: Zubal-Books, Since 1961, Cleveland, OH, USA

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Zustand: Very Good. *Price HAS BEEN REDUCED by 10% until Monday, July 14 (weekend SALE item)* 330 pp., hardcover, small label to front pastedown, small hand stamp to front free endpaper else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Bestandsnummer des Verkäufers ZB1319683

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