000 03702cam a22006015i 4500
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005 20220902133730.0
006 m |o d |
007 cr |||||||||||
008 180509s2019 gw |||| o |||| 0|eng
010 _a 2019745166
020 _a9783319906478 (pbk.)
024 7 _a10.1007/978-3-319-90647-8
_2doi
035 _a(DE-He213)978-3-319-90647-8
040 _aDLC
_beng
_epn
_erda
_cJKRC
072 7 _aTBJ
_2bicssc
072 7 _aTBJ
_2thema
082 0 4 _223
_a515.353
_bMAR
100 1 _aMarin, Marin.
_eAuthor.
_918481
245 1 0 _aEssentials of partial differential equations :
_bwith applications /
_cby Marin Marin and Andreas Ochsner.
250 _a1st
260 _aSwitzerland :
_bSpringer International Publishing,
_c2019.
300 _axi, 380p. ;
_c23 cm.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
365 _b129.99
_cEuro
505 0 _aPART I: Quasilinear equations -- Operators of second order -- The theory of potential -- Elliptic operators -- Operational calculus -- Parabolic equations -- Hyperbolic equations -- Part II: Elements of distributions -- Integral formulas -- Equations of the first order -- Equations of second order -- Harmonic functions -- Weak solutions -- Regularity of the solutions -- Parabolic equations -- Hyperbolic equations.
520 _aThis book offers engineering students an introduction to the theory of partial differential equations and then guiding them through the modern problems in this subject. Divided into two parts, in the first part readers already well-acquainted with problems from the theory of differential and integral equations gain insights into the classical notions and problems, including differential operators, characteristic surfaces, Levi functions, Green's function, and Green's formulas. Readers are also instructed in the extended potential theory in its three forms: the volume potential, the surface single-layer potential and the surface double-layer potential. Furthermore, the book presents the main initial boundary value problems associated with elliptic, parabolic and hyperbolic equations. The second part of the book, which is addressed first and foremost to those who are already acquainted with the notions and the results from the first part, introduces readers to modern aspects of the theory of partial differential equations.
588 _aDescription based on publisher-supplied MARC data.
650 0 _aEngineering mathematics.
_92751
650 0 _aMechanics, Applied.
_918482
650 0 _aMechanics.
_918178
650 0 _aPartial differential equations.
650 1 4 _aEngineering Mathematics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/T11030
_92751
650 2 4 _aPartial Differential Equations.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12155
650 2 4 _aSolid Mechanics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/T15010
_918483
653 _aDifferential equations, Partial
653 _aContinuum mechanics
653 _aEngineering
653 _aMechanics
653 _aMechanics, Applied
653 _aEngineering mathematics
700 1 _aOchsner, Andreas.
_eAuthor.
_918484
776 0 8 _iPrint version:
_tEssentials of partial differential equations.
_z9783319906461
_w(DLC) 2018940344
776 0 8 _iPrinted edition:
_z9783030080648
776 0 8 _iPrinted edition:
_z9783319906461
776 0 8 _iPrinted edition:
_z9783319906485
906 _a0
_bibc
_corigres
_du
_encip
_f20
_gy-gencatlg
942 _2ddc
_c1
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_n0
999 _c411642
_d411642