000 03872nam a22006255i 4500
001 9783110409475
003 DE-B1597
005 20200803184527.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 190615s2014 pl fo d z eng d
020 _a9783110409475
024 7 _a10.2478/9783110409475
_2doi
035 _a(DE-B1597)445368
035 _a(OCoLC)1013956286
035 _a(OCoLC)954882664
040 _aDE-B1597
_beng
_cDE-B1597
_erda
041 0 _aeng
044 _apl
_cPL
050 4 _aQC20
072 7 _aMAT000000
_2bisacsh
072 7 _aMAT007000
_2bisacsh
072 7 _aMAT012000
_2bisacsh
072 7 _aMAT034000
_2bisacsh
072 7 _aSCI040000
_2bisacsh
082 0 4 _a530.2
_223
100 1 _aCopley, Leslie,
_eauthor.
245 1 0 _aMathematics for the Physical Sciences /
_cLeslie Copley.
264 1 _aWarsaw ;
_aBerlin :
_bDe Gruyter Open Poland,
_c[2014]
264 4 _c©2015
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 0 _tFrontmatter --
_tContents --
_tForeword --
_t1 Functions of a Complex Variable --
_t2 Cauchy's Theorem --
_t3 The Calculus of Residues --
_t4 Dispersion Representations --
_t5 Analytic Continuation --
_t6 Asymptotic Expansions --
_t7 Padé Approximants --
_t8 Fourier Series and Transforms --
_t9 Ordinary Linear Differential Equations --
_t10 Partial Differential Equations and Boundary Value Problems --
_t11 Special Functions --
_t12 Non-Homogeneous Boundary Value Problems: Green's Functions --
_t13 Integral Equations --
_tBibliography
506 0 _aOpen Access
_uhttps://purl.org/coar/access_right/c_abf2
_funrestricted online access
_2star
520 _aThe book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and "special functions" of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green's functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.
538 _aMode of access: Internet via World Wide Web.
540 _aThis eBook is made available Open Access. Unless otherwise specified individually in the content, the work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license:
_uhttps://creativecommons.org/licenses/by-nc-nd/3.0
_uhttps://www.degruyter.com/dg/page/open-access-policy
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 15. Jun 2019)
650 0 _aMathematics.
650 4 _amathematical physics, boundary value problems.
650 7 _0(DE-601)104270187
_0(DE-588)4123623-3
_aLehrbuch
_2gnd
650 7 _0(DE-601)106234730
_0(DE-588)4037952-8
_aMathematische Physik
_2gnd
650 7 _0(DE-601)106234803
_0(DE-588)4037944-9
_aMathematik
_2gnd
650 7 _aMATHEMATICS / General.
_2bisacsh
776 0 _cEPUB
_z9783110426243
776 0 _cprint
_z9783110409451
856 4 0 _uhttps://doi.org/10.2478/9783110409475
_zOpen Access
856 4 2 _3Cover
_uhttps://www.degruyter.com/cover/covers/9783110409475.jpg
912 _aGBV-deGruyter-alles
912 _aZDB-23-GOA
999 _c535109
_d535107