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Hi,

I am interested in the Jacobi method to solve partial differential equation of first order. I would like to have a hint about a good book to study this subject.

Thanks in advance

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Chapter VII of É. Goursat's book, Leçons sur l'intégration des équations aux dérivées partielles du premier ordre, exposes the method and ends with 14 examples of applying it (pp. 168-169).

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For starters see e.g. chapter IX of Forsyth's classical Treatise on Differential Equations.

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I think that Arnold's explanation in his book "Geometricam methods ..." is really great. Complement it with Courant-Hilbert and you'll understand all the basics.

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  • $\begingroup$ Agreed! It's good to learn both the classical and modern (symplectic) views of this. $\endgroup$
    – Deane Yang
    Commented Oct 10, 2012 at 14:56

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