The Zakon Series on Mathematical Analysis by Elias Zakon
This series of books covers in a concrete and hands-on way the basic
material of real analysis.
This book helps the student complete the transition from purely manipulative
to rigorous mathematics, with topics that cover basic set theory, fields (with emphasis on the real
numbers), a review of the geometry of three dimensions, and properties of
Designed for a two-semester undergraduate course,
this award-winning text covers the basic material of continuity and differentiation of
functions, integration, metric spaces, etc. This book begins with a condensed
version of the author's Basic Concepts of Mathematics.
Used for many years as the text for a two-semester undergraduate
course in analysis,
this book covers measure and integration (Lebesgue measure, Radon-Nikodym theorem, monotone convergence theorem, etc.)
and calculus on normed linear spaces (Banach spaces).
The Trillia Lectures on Mathematics
This series will include mathematics texts that contain valuable material outside of a traditional textbook format.
This book, which presupposes familiarity only with the most elementary concepts
of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series
of lectures for graduate student on elementary
number theory. It is appropriate either for a second undergraduate course or an introductory graduate course
in Number Theory.