LEADER 04614nam 22007575 450 001 9910299766303321 005 20251116135113.0 010 $a3-319-16408-2 024 7 $a10.1007/978-3-319-16408-3 035 $a(CKB)3710000000436809 035 $a(SSID)ssj0001558641 035 $a(PQKBManifestationID)16182749 035 $a(PQKBTitleCode)TC0001558641 035 $a(PQKBWorkID)14819258 035 $a(PQKB)10953896 035 $a(PQKBManifestationID)16252096 035 $a(OCoLC)913199782 035 $a(PQKB)23416851 035 $a(DE-He213)978-3-319-16408-3 035 $a(MiAaPQ)EBC6314660 035 $a(MiAaPQ)EBC5587506 035 $a(Au-PeEL)EBL5587506 035 $a(OCoLC)910884127 035 $a(PPN)186400462 035 $a(EXLCZ)993710000000436809 100 $a20150605d2015 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 12$aA Textbook on Ordinary Differential Equations /$fby Shair Ahmad, Antonio Ambrosetti 205 $a2nd ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XIV, 331 p.) 225 1 $aLa Matematica per il 3+2,$x2038-5722 ;$v88 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-319-16407-4 320 $aIncludes bibliographical references and index. 327 $a1 First order linear differential equations -- 2 Theory of first order differential equations -- 3 First order nonlinear differential equations -- 4 Existence and uniqueness for systems and higher order equations -- 5 Second order equations -- 6 Higher order linear equations -- 7 Systems of first order equations -- 8 Qualitative analysis of 2x2 systems and nonlinear second order equations -- 9 Sturm Liouville eigenvalue theory -- 10 Solutions by infinite series and Bessel functions -- 11 Laplace transform -- 12 Stability theory -- 13 Boundary value problems -- 14 Appendix A. Numerical methods -- 15 Answers to selected exercises. 330 $aThis book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. 410 0$aLa Matematica per il 3+2,$x2038-5722 ;$v88 606 $aDifferential equations 606 $aNumerical analysis 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 615 0$aDifferential equations. 615 0$aNumerical analysis. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aOrdinary Differential Equations. 615 24$aNumerical Analysis. 615 24$aApplications of Mathematics. 676 $a518.63 700 $aAhmad$b Shair$4aut$4http://id.loc.gov/vocabulary/relators/aut$058732 702 $aAmbrosetti$b A$g(Antonio),$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299766303321 996 $aA Textbook on Ordinary Differential Equations$92522977 997 $aUNINA