500 Examples and Problems of Applied Diffe...

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Beschreibung

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 RungeKutta 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 numberof challenging real-life applications have also been included as a way to motivate further research in this vast and fascinating field.

Über den Autor

Ravi P. Agarwal is a Professor at the Texas A&M University in Kingsville, USA. He is also a Distinguished University Professor of Mathematics at the Florida Institute of Technology, Melbourne, FL, USA. He did his PhD at the Indian Institute of Technology, India. Dr. Agarwal authored, co-authored and co-edited over 60 books, including "An Introduction to Ordinary Differential Equations" (978-0-387-71275-8) and "Ordinary and Partial Differential Equations" (978-0-387-79145-6), both co-authored by Donal O'Regan and published by Springer.

Simona Hodis is an Assistant Professor at the Texas A&M University in Kingsville, USA. She got her PhD from the University of Western Ontario, Canada. Her research interests include mathematical modeling in medicine and engineering, fluid dynamics, applied mathematics, partial differential equations, and numerical analysis.

Donal O'Regan is a Professor at the National University of [...] research interests are in nonlinear functional analysis. His previous publications with Springer include "Constant-Sign Solutions of Systems of Integral Equations" (978-3-319-01254-4) and "Fixed Point Theory for Lipschitzian-type Mappings with Applications" (978-0-387-75817-6), both as a co-author.

Zusammenfassung

Highlights an unprecedented number of real-life applications of differential equations and systems

Includes problems in biomathematics, finance, engineering, physics, and even societal ones like rumors and love

Includes selected challenges to motivate further research in this field

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2021
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Problem Books in Mathematics
Inhalt:	ix 388 S. 81 s/w Illustr. 3 farbige Illustr. 388 p. 84 illus. 3 illus. in color.
ISBN-13:	9783030263867
ISBN-10:	303026386X
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Agarwal, Ravi P. Hodis, Simona O'Regan, Donal
Hersteller:	Springer Springer International Publishing AG Problem Books in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 22 mm
Von/Mit:	Ravi P. Agarwal (u. a.)
Erscheinungsdatum:	21.01.2021
Gewicht:	0,604 kg