Oscillating Functions

  • John R. Shackell
Part of the Algorithms and Computation in Mathematics book series (AACIM, volume 12)


When we compare the algorithms given in the previous chapters with the expansions typically used by researchers in differential equations and in mathematical physics, one thing stands out — the absence of trigonometric functions from our theory. Of course, we have seen in Section 5.3 how trigonometric functions composed with functions tending to finite limits can be handled, but these composed functions do not exhibit oscillation. This, the last chapter, is concerned with how to deal with oscillating functions, including trigonometric ones, in the context we have built up.


Trigonometric Function Finite Limit Oscillate Function Single Interval Real Algebraic Variety 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • John R. Shackell
    • 1
  1. 1.Institute of Mathematics, Statistics and Actuarial ScienceUniversity of KentCanterbury KentUK

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