500 Examples and Problems of Applied Differential Equations
tarafından
Agarwal, Ravi P. author.
Başlık
:
500 Examples and Problems of Applied Differential Equations
Yazar
:
Agarwal, Ravi P. author.
ISBN
:
9783030263843
Yazar
:
Agarwal, Ravi P. author.
Edisyon
:
1st ed. 2019.
Fiziksel Niteleme
:
IX, 388 p. 84 illus., 3 illus. in color. online resource.
Seri
:
Problem Books in Mathematics,
İçindekiler
:
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.
Özet
:
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.
Konu Başlığı
:
Differential equations.
Difference equations.
Functional equations.
Partial differential equations.
Sequences (Mathematics).
Numerical analysis.
Ordinary Differential Equations. https://scigraph.springernature.com/ontologies/product-market-codes/M12147
Difference and Functional Equations. https://scigraph.springernature.com/ontologies/product-market-codes/M12031
Partial Differential Equations. https://scigraph.springernature.com/ontologies/product-market-codes/M12155
Sequences, Series, Summability. https://scigraph.springernature.com/ontologies/product-market-codes/M1218X
Numerical Analysis. https://scigraph.springernature.com/ontologies/product-market-codes/M14050
Yazar Ek Girişi
:
Hodis, Simona.
O’Regan, Donal.
Ek Kurum Yazar
:
SpringerLink (Online service)
Elektronik Erişim
:
Materyal Türü | Barkod | Yer Numarası | Durumu/İade Tarihi |
---|
Electronic Book | 429146-1001 | QA372 | Springer E-Book Collection |