INFINITESIMAL CALCULUS

From Editors' Introduction:

"The book is roughly divided into three parts. The first part deals with the general question of approximation. Topics include the local question of approximation by asymptotic developments, the global theory of approximation to roots of equations, and uniform convergence.

The second part is an introduction to the theory of functions of a complex variable. The usual local theory of the Cauchy integral, power series development, and a study of singularities and residues is followed by applications of the theory of functions of a complex variable to the theory of approximation and a discussion of conformal mapping.

The third part is a study of differential equations in the real and complex domains. Primary consideration is given to linear equations. Perturbations of linear differential systems are included, and the section concludes wit a study of Bessel's equations."