500 examples and problems of applied differential equations / Ravi P. Agarwal, Simona Hodis, Donal O'Regan.
2019
QA371
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Title
500 examples and problems of applied differential equations / Ravi P. Agarwal, Simona Hodis, Donal O'Regan.
Author
Agarwal, Ravi P.
ISBN
9783030263843 (electronic book)
3030263843 (electronic book)
3030263835
9783030263836
3030263843 (electronic book)
3030263835
9783030263836
Publication Details
[S.l.] : Springer, 2019.
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-26
Call Number
QA371
Dewey Decimal Classification
515.352
Summary
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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Access limited to authorized users.
Added Author
Hodis, Simona.
O'Regan, Donal.
O'Regan, Donal.
Series
Problem books in mathematics.
Available in Other Form
Print version: 9783030263836
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Table of Contents
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.
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.