000 02883nam a22004815i 4500
001 978-3-540-47510-1
003 DE-He213
005 20190213151209.0
007 cr nn 008mamaa
008 121227s1992 gw | s |||| 0|eng d
020 _a9783540475101
_9978-3-540-47510-1
024 7 _a10.1007/BFb0088952
_2doi
050 4 _aT57-57.97
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBW
_2thema
082 0 4 _a519
_223
100 1 _aColombeau, Jean François.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMultiplication of Distributions
_h[electronic resource] :
_bA tool in mathematics, numerical engineering and theoretical physics /
_cby Jean François Colombeau.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1992.
300 _aX, 186 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1532
505 0 _ato generalized functions and distributions -- Multiplications of distributions in classical physics -- Elementary introduction -- Jump formulas for systems in nonconservative 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.
520 _aThis 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 smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662171585
776 0 8 _iPrinted edition:
_z9783540562887
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1532
856 4 0 _uhttps://doi.org/10.1007/BFb0088952
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c9855
_d9855