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The Partition Method for a Power Series Expansion: Theory and Applications

The Partition Method for a Power Series Expansion: Theory and Applications

Hardcover

General Mathematics

ISBN10: 0128044667
ISBN13: 9780128044667
Publisher: Academic Press
Published: Jan 19 2017
Pages: 322
Weight: 1.30
Height: 0.75 Width: 6.00 Depth: 9.00
Language: English

The Partition Method for a Power Series Expansion: Theory and Applications explores how the method known as 'the partition method for a power series expansion', which was developed by the author, can be applied to a host of previously intractable problems in mathematics and physics.

In particular, this book describes how the method can be used to determine the Bernoulli, cosecant, and reciprocal logarithm numbers, which appear as the coefficients of the resulting power series expansions, then also extending the method to more complicated situations where the coefficients become polynomials or mathematical functions. From these examples, a general theory for the method is presented, which enables a programming methodology to be established.

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General Mathematics