Number and the Nature of Mathematics

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Number and the Nature of Mathematics is written by Joseph Bergin and published by Slant Flying Press. It's available with International Standard Book Number or ISBN identification 1940113075 (ISBN 10) and 9781940113074 (ISBN 13).

"Number and the Nature of Mathematics" covers a short course in understanding whatmathematicians do when they do Mathematics. It is suitable for an advanced secondaryschool student or a beginning university student contemplating a career as a mathematician. The course is built around an axiomatic development of number systemsfrom the Natural Numbers through the Complex Numbers. It has many side excursions to give some insight into the nature of abstraction. The book includes an extended example that fits simple, but fundamental, insights into a solution of an elementary, but interesting, problem. This book is based on a transformative course the author took at Loyola University of Los Angeles in 1962.