The Real Number System

The Real Number System
Author :
Publisher : Courier Dover Publications
Total Pages : 241
Release :
ISBN-10 : 9780486834740
ISBN-13 : 0486834743
Rating : 4/5 (40 Downloads)

Book Synopsis The Real Number System by : John M. H. Olmsted

Download or read book The Real Number System written by John M. H. Olmsted and published by Courier Dover Publications. This book was released on 2018-09-12 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


The Real Number System Related Books

The Real Number System
Language: en
Pages: 241
Authors: John M. H. Olmsted
Categories: Mathematics
Type: BOOK - Published: 2018-09-12 - Publisher: Courier Dover Publications

DOWNLOAD EBOOK

Concise but thorough and systematic, this categorical discussion of the real number system presents a series of step-by-step axioms, each illustrated by example
The Real Number System in an Algebraic Setting
Language: en
Pages: 161
Authors: J. B. Roberts
Categories: Mathematics
Type: BOOK - Published: 2018-03-21 - Publisher: Courier Dover Publications

DOWNLOAD EBOOK

Proceeding from a review of the natural numbers to the positive rational numbers, this text advances to the nonnegative real numbers and the set of all real num
Introduction to Real Analysis
Language: en
Pages: 0
Authors: William F. Trench
Categories: Applied mathematics
Type: BOOK - Published: 2003 - Publisher: Prentice Hall

DOWNLOAD EBOOK

Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math
The Number System
Language: en
Pages: 146
Authors: H. A. Thurston
Categories: Mathematics
Type: BOOK - Published: 2012-10-23 - Publisher: Courier Corporation

DOWNLOAD EBOOK

This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of r
Number Systems and the Foundations of Analysis
Language: en
Pages: 0
Authors: Elliott Mendelson
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: Dover Books on Mathematics

DOWNLOAD EBOOK

Geared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers.