2

The question is sujestive, I need to know what are good books for learning ordinary differential equations but in a deep mathematical framework. I need names of books that do not focus just on solving particular equations but develop the strong theory around them.

Jose Paternina
  • 1,261
  • Ordinary (edited, thanks). – Jose Paternina Dec 07 '14 at 05:14
  • Is this to be a first course in D.E., or can it assume the student has already had a year of elementary D.E.? Often the deeper probing of a subject comes after an initial exposure to it so the student doesn't struggle with basic concepts while focusing on the advanced aspects. – MPW Dec 07 '14 at 05:17
  • I already had a course on ODEs and it was all about solving equations, as a mathematics student I think it is important to know the subject more formally. – Jose Paternina Dec 07 '14 at 05:19
  • I answered the same question here – MJD Dec 07 '14 at 05:51

1 Answers1

1

To get a feel for the subject beyond basic computations, I'd recommend Differential Equations, Dynamical Systems, and an Introduction to Chaos by Hirsch and Smale

Now, for a fully rigorous ODE course, I'd look to Theory of Ordinary Differential Equations by Coddington and Levinson.

JohnD
  • 14,392