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100   $a20141119d2014      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aHistorical Developments in Singular Perturbations /$fby Robert E. O'Malley
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (X, 256 p. 17 illus.) 
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-319-11923-0 
327   $aPreface -- Ludwig Prandtl's Boundary Layer Theory -- Asymptotic Approximations -- The Method of Matches Asymptotic Expansions and Its Generalizations -- Wendepunkts and Canards (Turning Points and Delayed Bifurcations) -- Two-timing, Geometric, and Multi-scale Methods -- A Simple Multi-scale Procedure for Both Oscillatory and Boundary Layer Problems -- References -- Index.
330   $aThis engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A particularly valuable bonus are the historical remarks. These remarks are found throughout the manuscript. They demonstrate the growth of mathematical thinking on this topic by engineers and mathematicians. The book focuses on detailing how the various methods are to be applied. These are illustrated by a  number and variety of examples. Readers are expected to have a working knowledge of elementary ordinary differential equations, including some familiarity with power series techniques, and of some advanced calculus. Dr. O'Malley  has written a number of books on singular perturbations.  This book has developed from many of his works in the field of perturbation theory.
606   $aDifferential equations
606   $aMathematics
606   $aHistory
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009
615  0$aDifferential equations.
615  0$aMathematics.
615  0$aHistory.
615 14$aOrdinary Differential Equations.
615 24$aHistory of Mathematical Sciences.
676   $a510
700   $aO'Malley$b Robert E$4aut$4http://id.loc.gov/vocabulary/relators/aut$040554
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299994603321
996   $aHistorical developments in singular perturbations$91409939
997   $aUNINA