LEADER 04359nam 22007095 450 001 9910349335203321 005 20200701034638.0 010 $a3-030-26384-3 024 7 $a10.1007/978-3-030-26384-3 035 $a(CKB)4100000009362491 035 $a(DE-He213)978-3-030-26384-3 035 $a(MiAaPQ)EBC5918210 035 $a(PPN)269149066 035 $a(EXLCZ)994100000009362491 100 $a20190923d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$a500 Examples and Problems of Applied Differential Equations /$fby Ravi P. Agarwal, Simona Hodis, Donal O?Regan 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (IX, 388 p. 84 illus., 3 illus. in color.) 225 1 $aProblem Books in Mathematics,$x0941-3502 311 $a3-030-26383-5 327 $a1. First Order Linear Differential Equations -- 2. Some First Order Nonlinear Differential Equations -- 3. Second and Higher Order Differential Equations -- 4. Power Series Solutions -- 5. Systems of First Order Linear Differential Equations -- 6. Runge?Kutta Method -- 7. Stability Theory -- 8. Linear Boundary Value Problems -- 9. Nonlinear Boundary Value Problems -- Index. 330 $aThis book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. The problems and examples presented here touch on key topics in the discipline, including first order (linear and nonlinear) differential equations, second (and higher) order differential equations, first order differential systems, the Runge?Kutta method, and nonlinear boundary value problems. Applications include growth of bacterial colonies, commodity prices, suspension bridges, spreading rumors, modeling the shape of a tsunami, planetary motion, quantum mechanics, circulation of blood in blood vessels, price-demand-supply relations, predator-prey relations, and many more. Upper undergraduate and graduate students in Mathematics, Physics and Engineering will find this volume particularly useful, both for independent study and as supplementary reading. While many problems can be solved at the undergraduate level, a number of challenging real-life applications have also been included as a way to motivate further research in this vast and fascinating field. 410 0$aProblem Books in Mathematics,$x0941-3502 606 $aDifferential equations 606 $aDifference equations 606 $aFunctional equations 606 $aPartial differential equations 606 $aSequences (Mathematics) 606 $aNumerical analysis 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aSequences, Series, Summability$3https://scigraph.springernature.com/ontologies/product-market-codes/M1218X 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 615 0$aDifferential equations. 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aPartial differential equations. 615 0$aSequences (Mathematics). 615 0$aNumerical analysis. 615 14$aOrdinary Differential Equations. 615 24$aDifference and Functional Equations. 615 24$aPartial Differential Equations. 615 24$aSequences, Series, Summability. 615 24$aNumerical Analysis. 676 $a515.35 700 $aAgarwal$b Ravi P$4aut$4http://id.loc.gov/vocabulary/relators/aut$041786 702 $aHodis$b Simona$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aO?Regan$b Donal$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349335203321 996 $a500 Examples and Problems of Applied Differential Equations$92124849 997 $aUNINA