Timeline for Good differential equations text for undergraduates who want to become pure mathematicians
Current License: CC BY-SA 2.5
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| Dec 14, 2012 at 9:02 | history | made wiki | Post Made Community Wiki by S. Carnahan♦ | ||
| Jun 19, 2010 at 11:15 | comment | added | mathphysicist | @Ryan:For the "local-Lie-groupoid-of-symmetries approach" try 1) Elementary Lie group analysis and ordinary differential equations by N.H. Ibragimov(books.google.com/books?id=EWgZAQAAIAAJ), and 2) Applications of Lie Groups to Differential Equations by P.J. Olver (books.google.com/books?id=ACzC8sHg3jEC), 3) Differential equations: their solution using symmetries by H. Stephani (books.google.com/books?id=nFSJn7dIYysC). #1 is in fact an ODE textbook with symmetries intervowen into the story, #2 and #3 are more advanced and require some preliminary knowledge of ODEs and PDEs. | |
| Jun 19, 2010 at 7:22 | comment | added | lambdafunctor | Hmm, I recall hearing before that Smale and Hirsch was very good, so I might have to check it out. I'll look up Hubb. and West at the library, as well. Basically, I'm looking for a differential equations text which I will adore at least half as much for the subject as I do Kostrikin/Manin for linear algebra or Spivak for manifolds. I don't know how familiar you are with the structure of these particular texts (likely more than I am, because they are a canonical part of the literature), but they follow a "basic structures-->rigorous 'abstractification'-->glimpse at advanced topics"approach. | |
| Jun 19, 2010 at 6:39 | history | answered | Ryan Budney | CC BY-SA 2.5 |