Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Books that explain differential equations in terms of complex variable theory?

  1. Oct 23, 2007 #1

    Simfish

    User Avatar
    Gold Member

    Hello,

    so I know that complex variable theory is VERY relevant to the field of differential equations. The question is - are there any good not-extremely-abstruse books on differential equations that actually EXPLICITLY use complex variables?

    Thanks!
     
  2. jcsd
  3. Oct 23, 2007 #2

    Chris Hillman

    User Avatar
    Science Advisor

    Many topics in differential equations are best treated in the complex domain. Obvious examples include elliptic functions, hypergeometric equations, Painleve transcendents, and differential Galois theory. Try:

    Jones and Singerman, Complex Functions, Cambridge University Press.

    Harold T. Davis, Introduction to Nonlinear Differential Equations and Integral Equations, Dover.

    Here are two odd ducks!:

    Anonymous, Advanced Methods for Solving Differential Equations, REA, 1982. (Might be hard to obtain.)

    Michio Kuga, Galois's Dream, Birkhauser.
     
    Last edited: Oct 23, 2007
  4. Oct 23, 2007 #3
    INCE, E.L Ordinary Differential Equations, Dover.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Books that explain differential equations in terms of complex variable theory?
Loading...