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 book are concise
and complete and many challenging exercises appear at the end of each
chapter. The book is arranged so that each chapter builds upon the
other, giving students a gradual understanding of the subject.
This text is part of the Walter Rudin Student Series in Advanced
Mathematics.