Hamilton, N: Set Theory: The Structure of Arithmetic by Norman T. Hamilton
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, the authors lead readers through a construction of the natural number system and end with a discussion of the real numbers. Afterwards, students should be prepared for introductory courses in abstract algebra and real variables. AUTHORS: Norman Hamilton and Joseph Landin were both on the faculty at The University of Illinois. Dover also publishes Prof. Landin's Introduction to Algebraic Structures.
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