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183   $acr
200 10$aAsymptotic analysis and perturbation theory /$fWilliam Paulsen
205   $a1st ed.
210   $aBoca Raton $cTaylor & Francis$d2014
215   $a1 online resource (xxiii, 526 pages )$cillustrations
300   $a"A CRC title."
311 08$a1-4665-1512-0 
320   $aIncludes bibliographical references.
327   $a1. Introduction to asymptotics -- 2. Asymptotics of integrals -- 3. Speeding up convergence -- 4. Differential equations -- 5. Asymptotic series solutions for differential equations -- 6. Difference equations -- 7. Perturbation theory -- 8. WKBJ theory -- 9. Multiple-scale analysis.
330   $aBeneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals. Suitable for those who have completed the standard calculus sequence, the book assumes no prior knowledge of differential equations. It explains the exact solution of only the simplest differential equations, such as first-order linear and separable equations. With varying levels of problems in each section, this self-contained text makes the difficult subject of asymptotics easy to comprehend. Along the way, it explores the properties of some important functions in applied mathematics. Although the book emphasizes problem solving, some proofs are scattered throughout to give readers a justification for the methods used.
606   $aPerturbation (Mathematics)$vTextbooks
606   $aDifferential equations$xAsymptotic theory$vTextbooks
615  0$aPerturbation (Mathematics)
615  0$aDifferential equations$xAsymptotic theory
676   $a515/.392
700   $aPaulsen$b William$01829138
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