Titlebook: Symbolic Asymptotics; John R. Shackell Book 2004 Springer-Verlag Berlin Heidelberg 2004 Computer.Hardy fields.algorithms.asymptotics.compu

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Implicit Functions,n a neighbourhood of any solution point where the rank of the Jacobian matrix is maximal. The root functions .. = .. (.),..., .. = .. (.) are called .. We wish to be able to calculate the asymptotics of implicit functions in neighbourhoods of +∞, that is to say on intervals of the form (., ∞).

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Oscillating Functions,ic 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.

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Output Data Structures,incts were sure, but also because the functions he considered were relatively simple. For the mathematicians of Euler’s day a function was something given explicitly by a formula, as indeed it is for us. Later, Abel and Cauchy began to regard a function as a process acting on numbers, and thereby ca

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