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Set Theory: the Structure of Arithmetic

Set Theory: the Structure of Arithmetic

by Joseph Landin and Norman T. Hamilton
Paperback
Publication Date: 29/06/2018

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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.
ISBN:
9780486824727
9780486824727
Category:
Set theory
Format:
Paperback
Publication Date:
29-06-2018
Language:
English
Publisher:
Dover Publications, Incorporated
Country of origin:
United States
Dimensions (mm):
228.6x152.4mm
Weight:
0.4kg

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