This is an advanced text for the one- or two-semester course in analysis taught
primarily to math, science, computer science, and electrical engineering majors
at the junior, senior or graduate level. The basic techniques and theorems of
analysis are presented in such a way that the intimate connections between its
various branches are strongly emphasized. The traditionally separate subjects of
'real analysis' and 'complex analysis' are thus united in one volume. Some of
the basic ideas from functional analysis are also included. This is the only
book to take this unique approach. The third edition includes a new chapter on
differentiation. Proofs of theorems presented in the