a listmania: essentials of undergraduate math for aspiring applied math students

March 30th, 2007 ~ Posted in: General

Since I’ve been using amazon so much lately, I decided I might as well take the plunge and use all its features. Just finished the first revision of my first listmania. Comments or suggestions for additions (keeping in mind the orthogonality condition)? I can’t think of any good ODE books.

General ~

4 Responses to “a listmania: essentials of undergraduate math for aspiring applied math students”

  • 1. AnonEcon
    March 30th, 2007 at 8:12 pm

    Nice list. Would you be extending it to cover areas like algebra and differential geometry/topology? For ODEs, my own favourites are Arnold and Hirsch and Smale.

  • 2. Alex
    March 31st, 2007 at 10:38 pm

    Because it’s for applied math people, I don’t think algebra is too important, but differential geometry is definitely something I overlooked. Any suggestions?

    Jeez, did you read those when you were an undergrad? I’m impressed. I consider pretty much all qualititative ODE material to be graduate level (maybe just because I find it confusing).

    I was thinking of more of a guide to analytic solution techniques like green’s functions, power series expansions, variation of parameters, etc. Any recommendations?

  • 3. AnonEcon
    March 31st, 2007 at 11:39 pm

    I found Munkres’Analysis on Manifolds very user-friendly.

    I’m still reading Arnold and Hirsch-Smale. But I find them more interesting and intuitive than the traditional books. And the prerequisites are about the same: basic analysis and linear algebra. In fact Hirsch-Smale lessens the load even further by developing lot of the linear algebra itself and replacing some of the analysis by hand-waving (at one point substituting the Jordan curve theorem by a neat diagram).

    Among the traditional ODE books which I have seen, I really liked Simmons.

  • 4. JuanPablo
    April 3rd, 2007 at 7:26 pm

    about odes, I prefer Simmons (perhaps the best for applied people), followed by the Hirsch-Smale and the classical Coddington.

    And do Carmo is a very good book for differential geometry.

This entry was posted on Friday, March 30th, 2007 at 7:08 pm and is filed under General. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

Leave a Reply