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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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up vote 3 down vote accepted

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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Agreed! It's good to learn both the classical and modern (symplectic) views of this. – Deane Yang Oct 10 '12 at 14:56

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