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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Stillwell, John (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Undergraduate Texts in Mathematics,
Subjects:
Functions of real variables.
Mathematical logic.
Mathematics.
History.
Real Functions.
Mathematical Logic and Foundations.
History of Mathematical Sciences.
Online Access:Texto Completo
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.

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