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500 Examples and Problems of Applied Differential Equations [[electronic resource] /] / by Ravi P. Agarwal, Simona Hodis, Donal O’Regan



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Autore: Agarwal Ravi P Visualizza persona
Titolo: 500 Examples and Problems of Applied Differential Equations [[electronic resource] /] / by Ravi P. Agarwal, Simona Hodis, Donal O’Regan Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Edizione: 1st ed. 2019.
Descrizione fisica: 1 online resource (IX, 388 p. 84 illus., 3 illus. in color.)
Disciplina: 515.35
Soggetto topico: Differential equations
Difference equations
Functional equations
Partial differential equations
Sequences (Mathematics)
Numerical analysis
Ordinary Differential Equations
Difference and Functional Equations
Partial Differential Equations
Sequences, Series, Summability
Numerical Analysis
Persona (resp. second.): HodisSimona
O’ReganDonal
Nota di contenuto: 1. 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.
Sommario/riassunto: This 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.
Titolo autorizzato: 500 Examples and Problems of Applied Differential Equations  Visualizza cluster
ISBN: 3-030-26384-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910349335203321
Lo trovi qui: Univ. Federico II
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Serie: Problem Books in Mathematics, . 0941-3502