This book is the first of a three volume introduction to analysis. It is
distinguished by its modern and clear presentation, concentrating always
on the essential concepts. In contrast to most other textbooks, there is
no artificial separation between the theories of one variable and that
of many variables. Emphasis is placed on the early development of a
solid foundation in topology. As well, the basics of complex analysis
are covered.
This book is directed primarily to the students and instructors of
beginning courses in analysis. But, with the many examples, exercises
and the supplementary material, it is also suitable for self-study, as
preparation for advanced study, and as a basis for other research in
mathematics and physics.