Set Theory The Structure Of Arithmetic
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Set Theory: The Structure of Arithmetic
Author | : Norman T. Hamilton |
Publisher | : Courier Dover Publications |
Total Pages | : 289 |
Release | : 2018-05-16 |
Genre | : Mathematics |
ISBN | : 0486824721 |
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This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. Beginning with a discussion of the rudiments of set theory, authors Norman T. Hamilton and Joseph Landin lead readers through a construction of the natural number system, discussing the integers and the rational numbers, and concluding with an in-depth examination of the real numbers. Drawn from lecture notes for a course intended primarily for high school mathematics teachers, this volume was designed to answer the question, "What is a number?" and to provide a foundation for the study of abstract algebra, elementary Euclidean geometry, and analysis. Upon completion of this treatment — which is suitable for high school mathematics teachers and advanced high school students — readers should be well prepared for introductory courses in abstract algebra and real variables.
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