Set Theory: The Structure of Arithmetic

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.

Author: Norman T. Hamilton, Joseph Landin
Publisher: Dover Publications
Published: 05/16/2018
Pages: 288
Binding Type: Paperback
Weight: 0.95lbs
Size: 8.90h x 6.00w x 0.70d
ISBN13: 9780486824727
ISBN10: 0486824721
BISAC Categories:
- Mathematics | Set Theory

About the Author
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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