Goursat E. Differential Equations

Dover Publications Inc, 1945. — 306 p.Edouard Goursat's famous three-volume Course in Mathematical Analysis remains a true classic of modern mathematics - fundamental material treated with brilliant clarity and thoroughness. As an advanced calculus text for the student with one year of calculus, it offers an exceptionally wide range of subject matter within the topics of analysis and applied mathematics.
The second part of Volume II is devoted to differential equations. Partial contents: equations of first and higher orders, existence theorems. Cauchy-Lipschitz method, linear and non-linear differential equations (including the study of such partial equations as D'Alembert's method, Euler's. and Laplace's equations and of exceptional initial values), and much more.