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• Basic Concepts of Mathematics
• Mathematical Analysis I
• Mathematical Analysis II
• An Introduction to the Theory of Numbers
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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.

Basic Concepts of Mathematics

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 linear spaces.

Mathematical Analysis I

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.

Mathematical Analysis II

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.

An Introduction to the Theory of Numbers by Leo Moser

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.
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