Set Theory: The Structure of Arithmetic (Dover Books on Mathematics) (Paperback)

Set Theory: The Structure of Arithmetic (Dover Books on Mathematics) By Norman T. Hamilton, Joseph Landin Cover Image

Set Theory: The Structure of Arithmetic (Dover Books on Mathematics) (Paperback)

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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.
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.
Product Details ISBN: 9780486824727
ISBN-10: 0486824721
Publisher: Dover Publications
Publication Date: May 16th, 2018
Pages: 288
Language: English
Series: Dover Books on Mathematics