2. Continuous Functions

  1. Leonard F. Richardson

Published Online: 15 FEB 2011

DOI: 10.1002/9781118032411.ch2

Advanced Calculus: An Introduction to Linear Analysis

Advanced Calculus: An Introduction to Linear Analysis

How to Cite

Richardson, L. F. (2008) Continuous Functions, in Advanced Calculus: An Introduction to Linear Analysis, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118032411.ch2

Publication History

  1. Published Online: 15 FEB 2011
  2. Published Print: 11 APR 2008

ISBN Information

Print ISBN: 9781118030677

Online ISBN: 9781118032411

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Keywords:

  • continuous functions;
  • extreme value theorem;
  • Banach space;
  • polynomials;
  • difference quotient

Summary

This chapter contains sections titled:

  • Limits of Functions

  • Continuous Functions

  • Some Properties of Continuous Functions

  • Extreme Value Theorem and Its Consequences

  • The Banach Space C[a,b]

  • Test Yourself