500 examples and problems of applied differential equations

• 作者： Agarwal, Ravi P., author.
• 其他作者：
  • Hodis, Simona, author.
  • O'Regan, Donal, author.
  • SpringerLink (Online service)
• 其他題名：
  • Problem books in mathematics.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Problem books in mathematics,
• 主題： Differential equations. , Ordinary Differential Equations. , Difference and Functional Equations. , Partial Differential Equations. , Sequences, Series, Summability. , Numerical Analysis.
• ISBN： 9783030263843 (electronic bk.) 、 9783030263836 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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.
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