Description
Book SynopsisOffers an explanation of the development and applications of non-standard analysis. This title treats in detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids.
Trade Review"Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and application of non-standard analysis which grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus."--L'Enseignement Mathematique
Table of Contents* General Introduction * Tools from Logic * Differential and Integral Calculus * General Topology * Functions of a Real Variable * Functions of a Complex Variable * Linear Spaces * Topological Groups and Lie Groups * Selected Topics * Concerning the History of the Calculus