Lesson plan

Function theory

Function theory may refer to: * Theory of functions of a real variable, the traditional name of real analysis, a branch of mathematical analysis dealing with the real numbers and real-valued functions of a real variable * Theory of functions of a complex variable, the historical name for complex analysis, the branch of mathematical analysis that investigates functions of complex numbers * Constructive function theory, the study of the connection between the smoothness of a function and its degree of approximation * Geometric function theory, the study of geometric properties of analytic functions

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Article summary

Function theory may refer to: * Theory of functions of a real variable, the traditional name of real analysis, a branch of mathematical analysis dealing with the real numbers and real-valued functions of a real variable * Theory of functions of a complex variable, the historical name for complex analysis, the branch of mathematical analysis that investigates functions of complex numbers * Constructive function theory, the study of the connection between the smoothness of a function and its degree of approximation * Geometric function theory, the study of geometric properties of analytic functions

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Discussion questions

  1. Summarise the article in your own words. Which single claim would you verify first, and why?
  2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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