The Real Number System by John Meigs Hubbell Olmsted is a comprehensive guide to the real number system, which is a fundamental concept in mathematics. The book covers the basic properties of real numbers, including the ordering of real numbers, the arithmetic operations of addition, subtraction, multiplication, and division, as well as the properties of real functions. The author also discusses the concepts of limits, continuity, and differentiation, which are essential for understanding calculus. The book is written in a clear and concise style, making it accessible to students and professionals alike. It is an essential resource for anyone who wants to gain a deep understanding of the real number system and its applications in mathematics and science.Appleton-Century Monographs In Mathematics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.