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Problem Books in Mathematics

500 Examples and Problems of Applied Differential Equations

Authors: Agarwal, Ravi P., Hodis, Simona C., O’Regan, Donal

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  • 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
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eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-030-26384-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA in USD
  • ISBN 978-3-030-26383-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.


About the authors

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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-030-26384-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA in USD
  • ISBN 978-3-030-26383-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
500 Examples and Problems of Applied Differential Equations
Authors
Series Title
Problem Books in Mathematics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-26384-3
DOI
10.1007/978-3-030-26384-3
Hardcover ISBN
978-3-030-26383-6
Series ISSN
0941-3502
Edition Number
1
Number of Pages
IX, 388
Number of Illustrations
81 b/w illustrations, 3 illustrations in colour
Topics