Further Developments in Calculus

  • Mariano Giaquinta
  • Giuseppe Modica

Abstract

How do we compute π, e, sin x, log x, etc. within a prescribed margin of error? How large is \( \int\limits_x^{{ + \infty }} {{e^{{ - {t^2}}}}dt} \)when x is large? Is there a harmless way to compute limits and discuss local properties of graphs? And what about global properties such as concavity or convexity?

Keywords

Asymptotic Expansion Convex Function Minimum Point Nonnegative Real Number Taylor Polynomial 
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 2003

Authors and Affiliations

  • Mariano Giaquinta
    • 1
  • Giuseppe Modica
    • 2
  1. 1.Scuola Normale SuperiorePisaItaly
  2. 2.Facoltà di IngegneriaUniversità degli Studi di FirenzeFirenzeItaly

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