Short Calculus pp 211-226 | Cite as


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


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.


Power Series Derivative Term Absolute Convergence Chapter VIII Integral Test 
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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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