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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

flag	asked Oct 9 at 13:24 withoutname 23●3

Francois Ziegler · Accepted Answer · 2012-10-10 01:52:41Z UTC

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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).

answered Oct 10 at 1:52

Francois Ziegler
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mathphysicist · Answer 2 · 2012-10-09 18:24:48Z UTC

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

answered Oct 9 at 18:24

mathphysicist
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alvarezpaiva · Answer 3 · 2012-10-10 12:13:46Z UTC

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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.

answered Oct 10 at 12:13

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

Jacobi method on first order partial differential equations

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