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Short Calculus pp 211-226 | Cite as

Series

  • Serge Lang
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Series are a natural continuation of our study of functions. In the preceding chapter we found how to approximate our elementary functions by polynomials, with a certain error term. Conversely, one can define arbitrary functions by giving a series for them. We shall see how in the sections below.

Keywords

Power Series Derivative Term Absolute Convergence Chapter VIII Integral Test 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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