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500 Examples and Problems of Applied Differential Equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	500 Examples and Problems of Applied Differential Equations/ by Ravi P. Agarwal, Simona Hodis, Donal O’Regan.
作者:	Agarwal, Ravi P.
其他作者:	Hodis, Simona.
面頁冊數:	IX, 388 p. 84 illus., 3 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential equations. -
電子資源:	https://doi.org/10.1007/978-3-030-26384-3
ISBN:	9783030263843

500 Examples and Problems of Applied Differential Equations
Agarwal, Ravi P.

500 Examples and Problems of Applied Differential Equations[electronic resource] /by Ravi P. Agarwal, Simona Hodis, Donal O’Regan. - 1st ed. 2019. - IX, 388 p. 84 illus., 3 illus. in color.online resource. - Problem Books in Mathematics,0941-3502. - Problem Books in Mathematics,.

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.

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.

ISBN: 9783030263843

Standard No.: 10.1007/978-3-030-26384-3doiSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.352

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