000 02825nam a22004695i 4500
001 978-1-4471-2981-3
003 DE-He213
005 20140220083237.0
007 cr nn 008mamaa
008 120327s2012 xxk| s |||| 0|eng d
020 _a9781447129813
_9978-1-4471-2981-3
024 7 _a10.1007/978-1-4471-2981-3
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aSauvigny, Friedrich.
_eauthor.
245 1 0 _aPartial Differential Equations 1
_h[electronic resource] :
_bFoundations and Integral Representations /
_cby Friedrich Sauvigny.
250 _a2nd ed. 2012.
264 1 _aLondon :
_bSpringer London,
_c2012.
300 _aXV, 447p. 16 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUniversitext,
_x0172-5939
505 0 _aDifferentiation and Integration on Manifolds -- Foundations of Functional Analysis -- Brouwer’s Degree of Mapping -- Generalized Analytic Functions -- Potential Theory and Spherical Harmonics -- Linear Partial Differential Equations in Rn.
520 _aThis two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this first volume, special emphasis is placed on geometric and complex variable methods involving integral representations. The following topics are treated: • integration and differentiation on manifolds • foundations of functional analysis • Brouwer's mapping degree • generalized analytic functions • potential theory and spherical harmonics • linear partial differential equations This new second edition of this volume has been thoroughly revised and a new section on the boundary behavior of Cauchy’s integral has been added. The second volume will present functional analytic methods and applications to problems in differential geometry. This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study.
650 0 _aMathematics.
650 0 _aDifferential equations, partial.
650 0 _aMathematical physics.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aMathematical Methods in Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781447129806
830 0 _aUniversitext,
_x0172-5939
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4471-2981-3
912 _aZDB-2-SMA
999 _c100744
_d100744