Set Theory: The Structure of Arithmetic

Nonfiction, Science & Nature, Mathematics, Set Theory
Cover of the book Set Theory: The Structure of Arithmetic by Norman T. Hamilton, Joseph Landin, Dover Publications
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Author: Norman T. Hamilton, Joseph Landin ISBN: 9780486830476
Publisher: Dover Publications Publication: May 16, 2018
Imprint: Dover Publications Language: English
Author: Norman T. Hamilton, Joseph Landin
ISBN: 9780486830476
Publisher: Dover Publications
Publication: May 16, 2018
Imprint: Dover Publications
Language: English

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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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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