Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established
A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics
Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.
From the reviews:
The volume contains more than 300 problems and a separate section gives hints or complete solutions to them. The book seems to be completely unified, carefully reasoned, rich in concepts, methods and results, and indubitably useful as for students in Real Analysis so also for teachers in this field.(Zentralblatt MATH)
This book tries to develop concepts and tools in real analysis that are vital to every mathematician. ... The book contains more than 300 problems with hints and complete solutions for many of them. (A. Kriegl, Monatshefte fur Mathematik, Vol. 151 (3), 2007)