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Foundations of Mathematics: Volume 1, Sets and Number Systems
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About Foundations Of Mathematics: Volume 1, Sets And
Product Description One of the greatest mathematicians of all time is reported to have said, “Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.” Foundations of Mathematics is devoted to awakening such a love for Mathematics among first year university students. It is a two volume series—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 student’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. About the Author Angela Shirley is a lecturer in the Department of Mathematics & Statistics, at The University of West Indies, St Augustine, Trinidad and Tobago. In 1987, she obtained her PhD from Northeastern University, Boston, Massachusetts, with a specialization in Mathematical Statistics. She has been teaching Mathematics ever since—first at Mt. St. Mary’s College, Los Angeles, and then at UWI, Mona, before coming to St Augustine in 1996. She has taught courses in Introductory Mathematics; as well as Statistics and a range of other Mathematics courses, both at the undergraduate and graduate level. She also spent three years as a lecturer in Mathematics Education at the School of Education, UWI, St Augustine, and is certified in University Teaching and Learning. Dr. Shirley has a love for imparting mathematics skills to her students and for seeing them succeed. She lives in St. Joseph, Trinidad, with her husband, Lindsay; and has three children.
