PDF Ebook Nonlinear Ordinary Differential Equations (Applied Mathematics and Engineering Science Texts) (v. 2), by R. Grimshaw
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Nonlinear Ordinary Differential Equations (Applied Mathematics and Engineering Science Texts) (v. 2), by R. Grimshaw
PDF Ebook Nonlinear Ordinary Differential Equations (Applied Mathematics and Engineering Science Texts) (v. 2), by R. Grimshaw
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Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated.
Each chapter is self-contained, and includes a selection of problems together with some detailed workings within the main text. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.
- Sales Rank: #2683498 in Books
- Brand: Brand: CRC Press
- Published on: 1991-03-06
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x .81" w x 7.01" l, 1.85 pounds
- Binding: Hardcover
- 336 pages
- Used Book in Good Condition
Most helpful customer reviews
1 of 1 people found the following review helpful.
Solid introduction to advanced ODE theory
By A Customer
This book is good overall. It covers all of the basics adequately: existence/uniqueness, linear systems, Floquet theory, stability, perturbation and averaging methods, etc. The final chapter is devoted to Hamiltonian systems which goes into greater detail than an introductory mechanics course might. The only complaint is that the binding is terrible. Everyone in my ODE class (approximately 10 students) said their book fell apart in a matter of weeks. A good supplement to this book might be Verhulst's nonlinear dynamics book.
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