Leçons Sur L'intégration Des Équations Aux Dérivées Partielles Du Second Ordre À Deux Variables Indépendantes

The book 'Leçons sur l'intégration des équations aux dérivées partielles' by E. Goursat discusses the integration of partial differential equations emphasizing the theory of characteristics Laplace transformation Barbier's method and integration by quadrature. It explores finding intermediate integrals solutions for various equations transformation of integrals and the use of characteristic curves. The book covers singular integrals characteristic curves and surfaces multiplicity of elements and the elimination of variables to obtain desired equations. It provides examples of surfaces curves and solutions offering a blend of theory and practical applications in advanced mathematics.