The Structure Of The Real Number System

The Structure Of The Real Number System is a book written by Leon Warren Cohen. It provides a comprehensive and detailed analysis of the real number system. The book is divided into several chapters, each of which covers a specific aspect of the real number system. The first chapter introduces the concept of real numbers and their properties, such as completeness and density. The second chapter covers the construction of the real number system using Dedekind cuts, while the third chapter discusses the topological properties of the real line. The fourth chapter delves into the algebraic structure of the real number system, including fields, ordered fields, and archimedean fields. The fifth chapter explores the analytic properties of the real number system, such as continuity, differentiability, and integration. The final chapter discusses the historical development of the real number system and its importance in mathematics. Overall, The Structure Of The Real Number System is a valuable resource for anyone interested in understanding the fundamental properties and structures of the real number system.Additional Editor Is Paul R. Halmos. The University Series In Undergraduate 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.