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101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGreen's functions $epotential fields on surfaces /$fby Yuri A. Melnikov, Volodymyr N. Borodin
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XVI, 198 p. 32 illus., 21 illus. in color.)
225 1 $aDevelopments in Mathematics,$x1389-2177 ;$v48
311 08$a3-319-57242-3 
320   $aIncludes bibliographical references.
327   $aPreface -- Introduction -- 1. Green's Functions for ODE -- 2. Spherical Surface -- 3.Toroidal Surface -- 4. Compound Structures -- 5. Irregular Configurations -- A. Catalogue of Green's Functions -- References.
330   $aThis book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green's functions from scratch. Green's functions is an instrument easily accessible to practitioners who are engaged in design and exploitation of machines and structures in modern engineering practice. To date, there are no books available on the market that are devoted to the Green's function formalism for equations covered in this volume. The reader, with an undergraduate background in applied mathematics, can become an active user of the Green's function approach. For the first time, Green's functions are discussed for a specific class of problems dealing with potential fields induced in thin-wall structures and therefore, the reader will have first-hand access to a novel issue. This Work is accessible to researchers in applied mathematics, mechanics, and relevant disciplines such as engineering, as well as to upper level undergraduates and graduate students.
410  0$aDevelopments in Mathematics,$x1389-2177 ;$v48
606   $aDifferential equations, Partial
606   $aDifferential equations
606   $aMechanics
606   $aNumerical analysis
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
615  0$aDifferential equations, Partial.
615  0$aDifferential equations.
615  0$aMechanics.
615  0$aNumerical analysis.
615 14$aPartial Differential Equations.
615 24$aOrdinary Differential Equations.
615 24$aClassical Mechanics.
615 24$aNumerical Analysis.
676   $a515.35
700   $aMelnikov$b Yu. A.$4aut$4http://id.loc.gov/vocabulary/relators/aut$0480597
702   $aBorodin$b Volodymyr N$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254283303321
996   $aGreen's Functions$92217889
997   $aUNINA