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 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 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 Ireland.His 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:	2019
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	400
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:	9783030263836
ISBN-10:	3030263835
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Agarwal, Ravi P. O¿Regan, Donal Hodis, Simona
Auflage:	1st ed. 2019
Hersteller:	Springer International Publishing Problem Books in Mathematics
Maße:	241 x 160 x 27 mm
Von/Mit:	Ravi P. Agarwal (u. a.)
Erscheinungsdatum:	19.12.2019
Gewicht:	0,764 kg

preigu-id: 116826338