One of the greatest mathematicians of all time is reported to have said, â€œMathematics reveals its secrets only to those who approach it with pure love, for its own beauty.â€ Foundations of Mathematics is devoted to awakening such a love for Mathematics among first year university students. It is a two volume seriesâ€”Volume 1, Sets and Number Systems, introduces the student to concepts in Abstract Algebra, while Volume 2 focuses on Linear Algebra. Sets and Number Systems deals with basic ideas in logic, sets, relations, functions, binary operations, natural numbers, integers, rational, irrational and real numbers. The emphasis is on developing the studentâ€™s ability to reason mathematically, and on building a solid foundation from which to pursue further studies in Mathematics/Mathematics-related fields and to enhance problem solving skills. The author offers a wealth of experience in teaching introductory mathematics courses. Students are sure to appreciate her detailed notes and many worked-examples and exercises, as well as, the inspiring stories of mathematicians featured at the end of each chapter. The appendix contains material specially designed for the Sets and Number Systems course at the University of the West Indies, where she teaches.