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Bob Devaney updated the classic Hirsch and Smale book some years ago. It has an emphasis on dynamical systems. A real classic is the book by Ince available from Dover. It predates the modern methods, but is a very serious book. My advice is different. Work through a standard undergrad text on DiffyQs first. Not one with all the fancy connections to other fields of math that you know.

But one emphasizing manipulation and problem solving and applications. Then after that, go grab some fancy book with all the grad school emphasis on proofs and Sobolev spaces and the like. And it's not just about how books are constructed and how people typically learn. It's actually more efficient and you will learn more and deeper by learning the content first in terms of problem solving manipulation and later in terms of all the fancy stuff. It's pedagogically advantageous. The human brain is not a computer, it learns from imitation and repetition.

This is why you can't teach a young gymnast a double back when they start. A good, cheap book for self study is Tenanbaum and Pollard. Covers the whole playing field. And even has a lot of non rigorous proofs. I'm curious if you have a gap in PDEs also. If you happen to like Arnold's ODE book mentioned by Julien Puydt it could also be a good idea to look at his more advanced book Geometrical methods in the theory of ordinary differential equations.

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The Theory Of Differential Equations: Classical And Qualitative by Walter G. Kelley

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Unlike most textbooks on the subject, this text includes nonstandard topics such as perturbation methods and differential equations and Mathematica. In addition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics.

Online The Theory Of Differential Equations: Classical And Qualitative 2010

This second edition is updated to be compatible with Mathematica, version 7. It also provides 81 additional exercises, a new section in Chapter 1 on the generalized logistic equation, an additional theorem in Chapter 2 concerning fundamental matrices, and many more other enhancements to the first edition. This book can be used either for a second course in ordinary differential equations or as an introductory course for well-prepared students.

The prerequisites for this book are three semesters of calculus and a course in linear algebra, although the needed concepts from linear algebra are introduced along with examples in the book. An undergraduate course in analysis is needed for the more theoretical subjects covered in the final two chapters. Seller Inventory KNV More information about this seller Contact this seller 2.

More information about this seller Contact this seller 3. Published by Springer About this Item: Springer, Condition: Good. Shows some signs of wear, and may have some markings on the inside. Seller Inventory GRP More information about this seller Contact this seller 4. Condition: Very Good. Great condition for a used book! Minimal wear. More information about this seller Contact this seller 5.

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Autonomous Equations & Stability Example 1 - Differential Equations - Griti

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