“It is clearly written, well illustrated and it could be useful for applied mathematicians, physicists, engineers and other related professionals and also for students who are interested in the applications of ordinary differential equations.” (Zentralblatt MATH, 1 June 2013)
Ordinary Differential Equationsby Michael D. Greenberg
Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order. The book transitions smoothly from first-order to higher-order equations, allowing readers to develop/b>
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Features a balance between theory, proofs, and examples and provides applications across diverse fields of study
Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order. The book transitions smoothly from first-order to higher-order equations, allowing readers to develop a complete understanding of the related theory.
Featuring diverse and interesting applications from engineering, bioengineering, ecology, and biology, the book anticipates potential difficulties in understanding the various solution steps and provides all the necessary details. Topical coverage includes:
First-Order Differential Equations
Higher-Order Linear Equations
Applications of Higher-Order Linear Equations
Systems of Linear Differential Equations
Systems of Nonlinear Differential Equations
In addition to plentiful exercises and examples throughout, each chapter concludes with a summary that outlines key concepts and techniques. The book's design allows readers to interact with the content, while hints, cautions, and emphasis are uniquely featured in the margins to further help and engage readers.
Written in an accessible style that includes all needed details and steps, Ordinary Differential Equations is an excellent book for courses on the topic at the upper-undergraduate level. The book also serves as a valuable resource for professionals in the fields of engineering, physics, and mathematics who utilize differential equations in their everyday work.
An Instructors Manual is available upon request. Email firstname.lastname@example.org for information. There is also a Solutions Manual available. The ISBN is 9781118398999.
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Meet the Author
MICHAEL D. GREENBERG, PhD, is Professor Emeritus of Mechanical Engineering at the University of Delaware where he teaches courses on engineering mathematics and is a three-time recipient of the University of Delaware Excellence in Teaching Award. Greenberg's research has emphasized vortex methods in aerodynamics and hydrodynamics.
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