02896nam 2200589 450 99646658660331620230914234733.03-540-47510-910.1007/BFb0088952(CKB)1000000000437132(SSID)ssj0000325039(PQKBManifestationID)12087630(PQKBTitleCode)TC0000325039(PQKBWorkID)10322493(PQKB)11366187(DE-He213)978-3-540-47510-1(MiAaPQ)EBC5591173(Au-PeEL)EBL5591173(OCoLC)1066178685(MiAaPQ)EBC6842122(Au-PeEL)EBL6842122(OCoLC)1292363789(PPN)155231138(EXLCZ)99100000000043713220220907d1992 uy 0engurnn#008mamaatxtccrMultiplication of distributions a tool in mathematics, numerical engineering, and theoretical physics /Jean François Colombeau1st ed. 1992.Berlin :Springer-Verlag,[1992]©19921 online resource (X, 186 p.)Lecture notes in mathematics (Springer-Verlag) ;1532Bibliographic Level Mode of Issuance: Monograph3-540-56288-5 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.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).Lecture notes in mathematics (Springer-Verlag) ;1532.Theory of distributions (Functional analysis)Theory of distributions (Functional analysis)515.782Colombeau Jean François1947-41531MiAaPQMiAaPQMiAaPQBOOK996466586603316Multiplication of distributions78742UNISA