2. Introduction to Real Analysis

  1. William C. Bauldry

Published Online: 7 SEP 2011

DOI: 10.1002/9781118164419.ch2

Introduction to Real Analysis: An Educational Approach

Introduction to Real Analysis: An Educational Approach

How to Cite

Bauldry, W. C. (2009) Introduction to Real Analysis, in Introduction to Real Analysis: An Educational Approach, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118164419.ch2

Publication History

  1. Published Online: 7 SEP 2011
  2. Published Print: 25 JUN 2009

ISBN Information

Print ISBN: 9780470371367

Online ISBN: 9781118164419

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Keywords:

  • real analysis;
  • rigorous formulation;
  • basic topology;
  • real numbers;
  • ordered sets

Summary

This chapter contains sections titled:

  • Basic Topology of the Real Numbers

  • Limits and Continuity

  • Differentiation

  • Riemann and Riemann-Stieltjes Integration

  • Sequences, Series, and Convergence Tests

  • Pointwise and Uniform Convergence