02806nam 2200565 a 450 991081683890332120200520144314.00-429-18953-21-4665-1511-210.1201/b15165(CKB)2670000000394981(DLC)2013019702(StDuBDS)AH25032849(SSID)ssj0000911421(PQKBManifestationID)11495603(PQKBTitleCode)TC0000911421(PQKBWorkID)10992873(PQKB)11787415(OCoLC)857078770(MiAaPQ)EBC1316398(OCoLC)852899175(EXLCZ)99267000000039498120130619d2014 uy 0engur|||||||||||txtccrAsymptotic analysis and perturbation theory /William Paulsen1st ed.Boca Raton Taylor & Francis20141 online resource (xxiii, 526 pages )illustrations"A CRC title."1-4665-1512-0 Includes bibliographical references.1. 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.Beneficial 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.Perturbation (Mathematics)TextbooksDifferential equationsAsymptotic theoryTextbooksPerturbation (Mathematics)Differential equationsAsymptotic theory515/.392Paulsen William1699869MiAaPQMiAaPQMiAaPQBOOK9910816838903321Asymptotic analysis and perturbation theory4082434UNINA