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Record Nr. |
UNISA996466586603316 |
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Autore |
Colombeau Jean François <1947-> |
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Titolo |
Multiplication of distributions : a tool in mathematics, numerical engineering, and theoretical physics / / Jean François Colombeau |
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Pubbl/distr/stampa |
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Berlin : , : Springer-Verlag, , [1992] |
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©1992 |
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ISBN |
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Edizione |
[1st ed. 1992.] |
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Descrizione fisica |
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1 online resource (X, 186 p.) |
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Collana |
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Lecture notes in mathematics (Springer-Verlag) ; ; 1532 |
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Disciplina |
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Soggetti |
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Theory of distributions (Functional analysis) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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to generalized functions and distributions -- Multiplications of distributions in classical physics -- Elementary introduction -- Jump formulas for systems in non-conservative form. New numerical methods -- The case of several constitutive equations -- Linear wave propagation in a medium with piecewise C? characteristics -- The canonical Hamiltonian formalism of interacting quantum fields -- The abstract theory of generalized functions. |
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Sommario/riassunto |
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This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smooth and somewhat heuristic introduction to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions). |
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