Ordinary Differential Equations

<p>The theory of ordinary differential equations in real and complex domains is here clearly explained and analyzed. Not only classical theory but also the main developments of modern times are covered. Exhaustive sections on the existence and nature of solutions continuous transformation groups the algebraic theory of linear differential systems and the solution of differential equations by contour integration are as valuable to the pure mathematician as the fine treatment of the equations of Legendre Bessel and Mathieu the conditions for the oscillatory character of solutions of a differential equation and the relation between a linear differential system and an integral equation are to the engineer and the physicist.<br>Partial contents: real domain (elementary methods of integration the existence and nature of solutions continuous transformation-groups linear differential equations-the general theory with constant coefficients solutions algebraic theory Sturmian theory and later developments); complex domain (existence theorems equations of first order non-linear equations of higher order solutions systems classifications of linear equations oscillation theorems).<br>Highly recommended. -- <i>Electronics Industries. <br></i>Deserves the highest praise. -- <i>Bulletin American Mathematical Society.</i></p>