000 03579nam a22005295i 4500
001 978-3-319-51744-5
003 DE-He213
005 20181204134421.0
007 cr nn 008mamaa
008 170328s2017 gw | s |||| 0|eng d
020 _a9783319517445
_9978-3-319-51744-5
024 7 _a10.1007/978-3-319-51744-5
_2doi
040 _aISI Library, Kolkata
050 4 _aQA614-614.97
072 7 _aPBKS
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKS
_2thema
082 0 4 _a514.74
_223
100 1 _aSavin, Anton.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aIntroduction to Complex Theory of Differential Equations
_h[electronic resource] /
_cby Anton Savin, Boris Sternin.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2017.
300 _aIX, 138 p. 43 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFrontiers in Mathematics,
_x1660-8046
505 0 _aLeray residues -- Ramied integrals -- Asymptotics of ramied integrals -- Ramied Fourier transform -- Properties of ramied Fourier transform -- The Cauchy problem for equations with constant coefficients -- Singularities of the solution of Cauchy problem -- The Cauchy problem for equations with variable coefficients. Leray's uniformization -- Balayage inwards problem -- Mother body problem -- Hints for exercises.
520 _aThis book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complex-analytic manifolds. Although the theory of differential equations on real manifolds is well known – it is described in thousands of papers and its usefulness requires no comments or explanations – to date specialists on differential equations have not focused on the complex theory of partial differential equations. However, as well as being remarkably beautiful, this theory can be used to solve a number of problems in real theory, for instance, the Poincaré balayage problem and the mother body problem in geophysics. The monograph does not require readers to be familiar with advanced notions in complex analysis, differential equations, or topology. With its numerous examples and exercises, it appeals to advanced undergraduate and graduate students, and also to researchers wanting to familiarize themselves with the subject.
650 0 _aGlobal analysis.
650 0 _aDifferential equations, partial.
650 0 _aPhysical geography.
650 1 4 _aGlobal Analysis and Analysis on Manifolds.
_0http://scigraph.springernature.com/things/product-market-codes/M12082
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aSeveral Complex Variables and Analytic Spaces.
_0http://scigraph.springernature.com/things/product-market-codes/M12198
650 2 4 _aGeophysics/Geodesy.
_0http://scigraph.springernature.com/things/product-market-codes/G18009
700 1 _aSternin, Boris.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319517438
776 0 8 _iPrinted edition:
_z9783319517452
830 0 _aFrontiers in Mathematics,
_x1660-8046
856 4 0 _uhttps://doi.org/10.1007/978-3-319-51744-5
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427269
_d427269