I have written this book primarily for serious and talented mathematics scholars,
seniors or first-year graduate students, who
by the time they finish their schooling
should have had the opportunity to study in some detail
the great discoveries of our subject.
What did we know and how and when did we know it?
I hope this book is useful toward that goal, especially
when it comes to the great achievements of that part of mathematics known as analysis.
I have tried to write a complete and thorough account
of the elementary theories of functions of a single real variable
and functions of a single complex variable.
Separating these two subjects does not at all jive with their development historically,
and to me it seems unnecessary and potentially confusing to do so.
On the other hand, functions of several variables seems to me
to be a very different kettle of fish, so I have decided to limit this
book by concentrating on one variable at a time.
This collection contains: