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LEADER: 02639pam a22003974a 4500
001 5494328
005 20221110045502.0
008 050526t20052005riua b 001 0 eng
010 $a 2005048161
020 $a0821835475 (alk. paper)
035 $a(OCoLC)ocm60550796
035 $a(NNC)5494328
035 $a5494328
040 $aDLC$cDLC$dYDX$dBAKER$dOrLoB-B
041 1 $aeng$hjpn
042 $apcc
050 00 $aQA372$b.K39 2005
082 00 $a515/.392$222
100 1 $aKawai, Takahiro.$0http://id.loc.gov/authorities/names/n79069402
240 10 $aTokui setsudō no daisū kaisekigaku.$lEnglish$0http://id.loc.gov/authorities/names/n2005039526
245 10 $aAlgebraic analysis of singular perturbation theory /$cTakahiro Kawai, Yoshitsugu Takei ; translated by Goro Kato.
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$c[2005], ©2005.
300 $axiii, 129 pages :$billustrations ;$c22 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aTranslations of mathematical monographs ;$vv. 227
490 1 $aIwanami series in modern mathematics
504 $aIncludes bibliographical references (p. 125-128) and index.
505 00 $gCh. 1.$tBorel resummation -- $gCh. 2.$tWKB analysis of Schrodinger equations -- $gCh. 3.$tApplications of WKB analysis of global problems -- $gCh. 4.$tWKB analysis of the Painleve transcendents.
520 1 $a"The topic of this book is the study of singular perturbations of ordinary differential equations, i.e., perturbations that represent solutions as asymptotic series rather than as analytic functions in a perturbation parameter. The main approach used by the authors is the so-called WKB (Wentzel-Kramers-Brillouin) method, originally invented for the study of quantum-mechanical systems. The authors describe in detail the WKB method and its applications to the study of monodromy problems for Fuchsian differential equations and to the analysis of Painleve functions. The volume is suitable for graduate students and researchers interested in differential equations and special functions."--BOOK JACKET.
650 0 $aSingular perturbations (Mathematics)$0http://id.loc.gov/authorities/subjects/sh85122869
650 0 $aAlgebraic functions.$0http://id.loc.gov/authorities/subjects/sh85052330
700 1 $aTakei, Yoshitsugu.$0http://id.loc.gov/authorities/names/no2002046446
830 0 $aTranslations of mathematical monographs ;$vv. 227.$0http://id.loc.gov/authorities/names/n42025062
830 0 $aIwanami series in modern mathematics.$0http://id.loc.gov/authorities/names/n98106501
852 00 $bmat$hQA3$i.T73 v.227