LEADER 03207nam 22005055 450 001 9910728947703321 005 20251008142203.0 010 $a3-031-25130-X 024 7 $a10.1007/978-3-031-25130-6 035 $a(MiAaPQ)EBC7256404 035 $a(Au-PeEL)EBL7256404 035 $a(OCoLC)1381708445 035 $a(DE-He213)978-3-031-25130-6 035 $a(PPN)272270385 035 $a(CKB)26845486400041 035 $a(EXLCZ)9926845486400041 100 $a20230605d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOrdinary Differential Equations $eAnalytical Methods and Applications /$fby Victor Henner, Alexander Nepomnyashchy, Tatyana Belozerova, Mikhail Khenner 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (609 pages) 311 08$aPrint version: Henner, Victor Ordinary Differential Equations Cham : Springer International Publishing AG,c2023 9783031251290 327 $aIntroduction -- First-order Differential Equations -- Differential Equations of the Order n>1 -- Systems of Differential Equations -- Qualitative Analysis and Atability of ODE Solutions -- Power series solutions of ODEs -- Laplace Transform -- Fourier series -- Boundary Value Problems for second-order ODEs -- Special Functions -- Integral Equations -- Calculus of Variations -- Partial Differential Equations -- Appendix 1: Picard's Existence and Uniqueness Theorem -- Appendix 2: A Primer on the Matrix Eigenvalue Problems and the Solutions of the Selected Examples -- Appendix 3: How to Use Software Associated with the Book. . 330 $aThe textbook presents a rather unique combination of topics in ODEs, examples and presentation style. The primary intended audience is undergraduate (2nd, 3rd, or 4th year) students in engineering and science (physics, biology, economics). The needed pre-requisite is a mastery of single-variable calculus. A wealth of included topics allows using the textbook in up to three sequential, one-semester ODE courses. Presentation emphasizes the development of practical solution skills by including a very large number of in-text examples and end-of-section exercises. All in-text examples, be they of a mathematical nature or a real-world examples, are fully solved, and the solution logic and flow are explained. Even advanced topics are presented in the same undergraduate-friendly style as the rest of the textbook. Completely optional interactive laboratory-type software is included with the textbook. 606 $aDifferential equations 606 $aDifferential Equations 615 0$aDifferential equations. 615 14$aDifferential Equations. 676 $a515.352 700 $aHenner$b Victor$01363597 701 $aNepomnyashchy$b Alexander$066845 701 $aBelozerova$b Tatyana$01363598 701 $aKhenner$b Mikhail$01363599 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910728947703321 996 $aOrdinary Differential Equations$93384452 997 $aUNINA