Considered by many to be Abraham Robinson's magnum opus, this book
offers an explanation of the development and applications of
non-standard analysis by the mathematician who founded the subject.
Non-standard analysis grew out of Robinson's attempt to resolve the
contradictions posed by infinitesimals within calculus. He introduced
this new subject in a seminar at Princeton in 1960, and it remains as
controversial today as it was then. This paperback reprint of the 1974
revised edition is indispensable reading for anyone interested in
non-standard analysis. It treats in rich 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 and rederivations of
Saint-Venant's hypothesis concerning the distribution of stresses in an
elastic body.