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 |