In order to give an intrinsic and axiomatic formulation of continuum physics, the \textit{derivative space} ${\it D}^k(V,W)$ is introduced. This allows us to describe the $ k$-order derivative of a mapping $ f:V\to W$, as a section of the fibre bundle ${\it D}^k(V,W)\to V$. This formulation generalizes the concept of \textit{jet} of a mapping. The corresponding differential calculus is carefully developed.
On the general structure of continuum physics, I / Prastaro, Agostino. - In: BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B. - ISSN 0392-4041. - STAMPA. - 5:17-B(1980), pp. 704-726.
On the general structure of continuum physics, I.
PRASTARO, Agostino
1980
Abstract
In order to give an intrinsic and axiomatic formulation of continuum physics, the \textit{derivative space} ${\it D}^k(V,W)$ is introduced. This allows us to describe the $ k$-order derivative of a mapping $ f:V\to W$, as a section of the fibre bundle ${\it D}^k(V,W)\to V$. This formulation generalizes the concept of \textit{jet} of a mapping. The corresponding differential calculus is carefully developed.File allegati a questo prodotto
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