MARC Record from marc_columbia

LEADER: 02973cam a22003494a 4500
001 5475422
005 20221110043554.0
008 050112t20052005nyua b 001 0 eng
010 $a 2005042479
020 $a0387229663 (acid-free paper)
024 3 $a9780387229669
035 $a(OCoLC)ocm57475894
035 $a(NNC)5475422
035 $a5475422
040 $aDLC$cDLC$dYDX$dBAKER$dIXA$dOrLoB-B
042 $apcc
050 00 $aQA379$b.V47 2005
082 00 $a515/.35$222
100 1 $aVerhulst, F.$q(Ferdinand),$d1939-$0http://id.loc.gov/authorities/names/n79044814
245 10 $aMethods and applications of singular perturbations :$bboundary layers and multiple timescale dynamics /$cFerdinand Verhulst.
260 $aNew York :$bSpringer,$c[2005], ©2005.
300 $axv, 324 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aTexts in applied mathematics ;$v50
504 $aIncludes bibliographical references (p. [309]-320) and index.
505 00 $g1.$tIntroduction -- $g2.$tBasic material -- $g3.$tApproximation of integrals -- $g4.$tBoundary layer behaviour -- $g5.$tTwo-point boundary value problems -- $g6.$tNonlinear boundary value problems -- $g7.$tElliptic boundary value problems -- $g8.$tBoundary layers in time -- $g9.$tEvolution equations with boundary layers -- $g10.$tThe continuation method -- $g11.$tAveraging and timescales -- $g12.$tAdvanced averaging -- $g13.$tAveraging for evolution equations -- $g14.$tWave equations on unbounded domains -- $g15.$tAppendices -- $tAnswers to odd-numbered exercises.
520 1 $a"Perturbation theory is the main focus of this workbook. In a systematic introductory manner this book delineates boundary layer theory for ordinary and partial differential equations, multi-timescale phenomena for nonlinear oscillations, diffusion and nonlinear wave equations. The book provides analysis of simple examples in the context of the general theory, as well as a final discussion of the more advanced problems. Precise estimates and excursions into the theoretical background make this workbook valuable to both the applied sciences and mathematics fields. As a bonus in its last chapter the book includes a collection of rare and useful pieces of literature, among them a summary of the Perturbation Theory of Matrices." "Detailed illustrations, examples and exercises as well as a clear explanation of the underlying theory makes this workbook ideal for senior undergraduate and beginning graduate students in applied mathematics as well as science and engineering fields."--BOOK JACKET.
650 0 $aBoundary value problems$xNumerical solutions.$0http://id.loc.gov/authorities/subjects/sh85016105
650 0 $aSingular perturbations (Mathematics)$0http://id.loc.gov/authorities/subjects/sh85122869
830 0 $aTexts in applied mathematics ;$v50.$0http://id.loc.gov/authorities/names/n86729581
852 00 $boff,eng$hQA379$i.V47 2005