500 Examples and Problems of Applied Differential Equations. 1st ed. 2019

種類:

電子ブック

責任表示:

by Ravi P. Agarwal, Simona Hodis, Donal O’Regan

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

• Agarwal, Ravi P.
• Hodis, Simona.
• O’Regan, Donal.
• SpringerLink (Online service)

シリーズ名:

Problem Books in Mathematics ;

ISBN:

9783030263843 [3030263843]    

注記:

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 h

ローカル注記:

学内専用E-BOOKS (local access only)