Wow! eBook
Set Theory: The Structure of Arithmetic
Author(s): Norman T. Hamilton (Author), Joseph Landin (Author)
- Publisher: Dover Publications
- Publication Date: May 16, 2018
- Language: English
- Print length: 288 pages
- ISBN-10: 0486824721
- ISBN-13: 9780486824727
Book Description
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.
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.
Editorial Reviews
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.
