The Real Number System (Paperback)

John Olmsted

ISBN 10: 048682764X / ISBN 13: 9780486827643

Published by Dover Publications Inc., New York, 2018

About this Item

Paperback. Concise but thorough and systematic, this categorical discussion of the real number system presents a series of step-by-step axioms, each illustrated by examples. The highly accessible text is suitable for readers at varying levels of knowledge and experience: advanced high school students and college undergraduates as well as prospective high school and college instructors. The abundance of examples and the wealth of exercises - more than 300, all with answers provided - make this a particularly valuable book for self-study. The first two chapters examine fields and ordered fields, followed by an introduction to natural numbers and mathematical induction. Subsequent chapters explore composite and prime numbers, integers and rational numbers, congruences and finite fields, and polynomials and rational functions. Additional topics include intervals and absolute value, the axiom of completeness, roots and rational exponents, exponents and logarithms, and decimal expansions. A helpful Appendix concludes the text. AUTHOR: John M. H. Olmsted was Professor of Mathematics at Southern Illinois University in Carbondale, Illinois. He also wrote books on calculus, and Dover publishes his Counterexamples in Analysis, co-written with Bernard R. Gelbaum. Concise but thorough and systematic, this categorical discussion presents a series of step-by-step axioms. The highly accessible text includes numerous examples and more than 300 exercises, all with answers. 1962 edition. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9780486827643

Bibliographic Details

• Title: The Real Number System (Paperback)
• Publisher: Dover Publications Inc., New York
• Publication Date: 2018
• Language: English
• ISBN 10: 048682764X
• ISBN 13: 9780486827643
• Binding: Paperback
• Condition: new

About this title

Synopsis

Concise but thorough and systematic, this categorical discussion of the real number system presents a series of step-by-step axioms, each illustrated by examples. The highly accessible text is suitable for readers at varying levels of knowledge and experience: advanced high school students and college undergraduates as well as prospective high school and college instructors. The abundance of examples and the wealth of exercises―more than 300, all with answers provided―make this a particularly valuable book for self-study. The first two chapters examine fields and ordered fields, followed by an introduction to natural numbers and mathematical induction. Subsequent chapters explore composite and prime numbers, integers and rational numbers, congruences and finite fields, and polynomials and rational functions. Additional topics include intervals and absolute value, the axiom of completeness, roots and rational exponents, exponents and logarithms, and decimal expansions. A helpful Appendix concludes the text.

About the Author

John M. H. Olmsted was Professor of Mathematics at Southern Illinois University in Carbondale, Illinois. He also wrote books on calculus, and Dover publishes his Counterexamples in Analysis, co-written with Bernard R. Gelbaum.