03244nam 2200613 450 991013228000332120210513202614.03-11-042624-23-11-040947-X10.2478/9783110409475(CKB)3710000000346221(SSID)ssj0001539243(PQKBManifestationID)11921758(PQKBTitleCode)TC0001539243(PQKBWorkID)11531111(PQKB)11462663(MiAaPQ)EBC1787230(DE-B1597)445368(OCoLC)1013956286(OCoLC)954882664(DE-B1597)9783110409475(Au-PeEL)EBL1787230(CaPaEBR)ebr11054944(OCoLC)939262778(EXLCZ)99371000000034622120150531h20142014 uy 0engurcnu||||||||txtccrMathematics for the physical sciences /Leslie Copley; managing editor, Paulina Leśna-SzreterWarsaw, [Poland] ;Berlin, [Germany] :De Gruyter Open,2014.©20141 online resource (445 pages) illustrationsBibliographic Level Mode of Issuance: Monograph3-11-040945-3 Includes bibliographical references.Front matter --Contents --Foreword --1 Functions of a Complex Variable --2 Cauchy's Theorem --3 The Calculus of Residues --4 Dispersion Representations --5 Analytic Continuation --6 Asymptotic Expansions --7 Padé Approximants --8 Fourier Series and Transforms --9 Ordinary Linear Differential Equations --10 Partial Differential Equations and Boundary Value Problems --11 Special Functions --12 Non-Homogeneous Boundary Value Problems: Green's Functions --13 Integral Equations --BibliographyThe 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.Mathematical physicsElectronic books.mathematical physics, boundary value problems.Mathematical physics.530.15Copley Leslie803381Paulina Leśna-SzreterMiAaPQMiAaPQMiAaPQBOOK9910132280003321Mathematics for the Physical Sciences1804618UNINA