Foundations of Analysis covers the basics of real analysis for a
one- or two-semester course. In a straightforward and concise way,
it helps students understand the key ideas and apply the theorems.
The book's accessible approach will appeal to a wide range of
students and instructors. Each section begins with a boxed
introduction that familiarizes students with the upcoming topics
and sets the stage for the work to be done. Each section ends with
several questions that ask students to review what they have just
learned. The text is also scattered with notes pointing out places
where different pieces of terminology seem to conflict with each
other or where different ideas appear not to fit together properly.
In addition, many remarks throughout help put the material in
perspective. As with any real analysis text, exercises are powerful
and effective learning tools. This book is no exception. Each
chapter generally contains at least 50 exercises that build in
difficulty, with an exercise set at the end of every section. This
allows students to more easily link the exercises to the material
in the section.
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