How Long to Read Laurent Series and their Padé Approximations

By A. Bultheel

How Long Does it Take to Read Laurent Series and their Padé Approximations?

It takes the average reader 4 hours and 44 minutes to read Laurent Series and their Padé Approximations by A. Bultheel

Assuming a reading speed of 250 words per minute. Learn more

Description

The Pade approximation problem is, roughly speaking, the local approximation of analytic or meromorphic functions by rational ones. It is known to be important to solve a large scale of problems in numerical analysis, linear system theory, stochastics and other fields. There exists a vast literature on the classical Pade problem. However, these papers mostly treat the problem for functions analytic at 0 or, in a purely algebraic sense, they treat the approximation of formal power series. For certain problems however, the Pade approximation problem for formal Laurent series, rather than for formal power series seems to be a more natural basis. In this monograph, the problem of Laurent-Pade approximation is central. In this problem a ratio of two Laurent polynomials in sought which approximates the two directions of the Laurent series simultaneously. As a side result the two-point Pade approximation problem can be solved. In that case, two series are approximated, one is a power series in z and the other is a power series in z-l. So we can approximate two, not necessarily different functions one at zero and the other at infinity.

How long is Laurent Series and their Padé Approximations?

Laurent Series and their Padé Approximations by A. Bultheel is 277 pages long, and a total of 71,189 words.

This makes it 93% the length of the average book. It also has 87% more words than the average book.

How Long Does it Take to Read Laurent Series and their Padé Approximations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 29 minutes to read Laurent Series and their Padé Approximations aloud.

What Reading Level is Laurent Series and their Padé Approximations?

Laurent Series and their Padé Approximations is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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