The Real Numbers : An Introduction to Set Theory and Analysis

While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light. Analysis needs the real numbers to model the line, and to support the concepts of continuity and measu...

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Main Author: Stillwell, John
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Cham Springer International Publishing 2013, 2013
Edition:1st ed. 2013
Series:Undergraduate Texts in Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • The Fundamental Questions
  • From Discrete to Continuous
  • Infinite Sets
  • Functions and Limits
  • Open Sets and Continuity
  • Ordinals
  • The Axiom of Choice
  • Borel Sets
  • Measure Theory
  • Reflections
  • Bibliography
  • Index