Nonstandard Methods of Analysis is concerned with the main trends in
this field; infinitesimal analysis and Boolean-valued analysis. The
methods that have been developed in the last twenty-five years are
explained in detail, and are collected in book form for the first time.
Special attention is paid to general principles and fundamentals of
formalisms for infinitesimals as well as to the technique of descents
and ascents in a Boolean-valued universe. The book also includes various
novel applications of nonstandard methods to ordered algebraic systems,
vector lattices, subdifferentials, convex programming etc. that have
been developed in recent years.
For graduate students, postgraduates and all researchers interested in
applying nonstandard methods in their work.