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LEADER: 02591nam a22004815a 4500
001 013840802-5
005 20140124162830.0
008 111123s1991 xxu| s ||0| 0|eng d
020 $a9781461397144
020 $a9781461397144
020 $a9781461397168
024 7 $a10.1007/978-1-4613-9714-4$2doi
035 $a(Springer)9781461397144
040 $aSpringer
050 4 $aQA613-613.8
050 4 $aQA613.6-613.66
072 7 $aPBMS$2bicssc
072 7 $aPBPH$2bicssc
072 7 $aMAT038000$2bisacsh
082 04 $a514.34$223
100 1 $aBryant, Robert L.,$eauthor.
245 10 $aExterior Differential Systems /$cby Robert L. Bryant, S. S. Chern, Robert B. Gardner, Hubert L. Goldschmidt, P. A. Griffiths.
264 1 $aNew York, NY :$bSpringer New York,$c1991.
300 $aVII, 475p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aMathematical Sciences Research Institute Publications,$x0940-4740 ;$v18
505 0 $aContents: Introduction -- Preliminaries -- Basic Theorems -- Cartan-Kähler Theory -- Linear Differential Systems -- The Characteristic Variety -- Prolongation Theory -- Examples -- Applications of Commutative Algebra and Algebraic Geometry to the Study of Exterior Differential Systems -- Partial Differential Equations -- Linear Differential Operators -- Bibliography -- Index.
520 $aThis book gives a treatment of exterior differential systems including both the general theory and various applications. Topics include: a review of exterior algebra, simple exterior differential systems, the generation of integral manifolds through the solution of a succession of initial- value problems, involution, linear differential systems, tableau and torsion, the characteristic variety of a differential system, prolongation, the Algebra of a linear Pfaffian system, and an introduction to Spencer Theory. Much emphasis is placed on the general theory while many examples are given.
650 24 $aManifolds and Cell Complexes (incl. Diff.Topology)
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aCell aggregation$xMathematics.
700 1 $aGriffiths, P. A.,$eauthor.
700 1 $aGoldschmidt, Hubert L.,$eauthor.
700 1 $aGardner, Robert B.,$eauthor.
700 1 $aChern, Shiing-Shen,$d1911-2004,$eauthor.
776 08 $iPrinted edition:$z9781461397168
830 0 $aMathematical Sciences Research Institute Publications ;$v18.
988 $a20131119
906 $0VEN