500 Examples and Problems of Applied Differential Equations
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Beschreibung
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.
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 numberof challenging real-life applications have also been included as a way to motivate further research in this vast and fascinating field.
Highlights an unprecedented number of real-life applications of differential equations and systems Includes problems in biomathematics, finance, engineering, physics, and even societal ones like rumors and love Includes selected challenges to motivate further research in this field
Autor*in
Ravi P. Agarwal
Themen in »500 Examples and Problems of Applied Differential Equations«
first order linear differential equations second and higher order differential equations first order nonlinear differential equations power series solutions first order differential systems numerical methods stability theory linear boundary value problems nonlinear boundary value problems Runge–Kutta method Fourier method ordinary differential equations partial differential equations
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“The book provides an excellent collection of ideas to spice up a lecture on differential equations with an analytical approach and thus to increase the motivation of students.” (Volker H. Schulz, SIAM Review, Vol. 62 (3), 2020)
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