Ordinary Differential Equations
Ordinary Differential Equations by Michael D. Greenberg, published by John Wiley & Sons on February 14, 2012, spans 560 pages and is written in English. This book provides a comprehensive exploration of first-order differential equations and advances to higher-order equations, facilitating a thorough understanding of the underlying theory. It balances theoretical concepts, proofs, and practical examples, making it suitable for upper-undergraduate courses as well as professionals in engineering, physics, and mathematics.
Readers will find a detailed discussion on various topics, including systems of linear and nonlinear differential equations, Laplace transforms, and series solutions. The book features diverse applications from fields such as engineering, bioengineering, and ecology, while addressing potential challenges in understanding solution steps. Each chapter concludes with a summary of key concepts and techniques, and the design incorporates interactive elements, including hints and cautions in the margins, to engage readers effectively.
Official synopsis Publisher
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:
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First-Order Differential Equations
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Higher-Order Linear Equations
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Applications of Higher-Order Linear Equations
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Systems of Linear Differential Equations
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Laplace Transform
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Series Solutions
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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 [email protected] for information. There is also a Solutions Manual available. The ISBN is 9781118398999.
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