Name: Partition Method for a Power Series Expansion: Theory and Applications (en Inglés)
SKU: 49243481
Price: 110.03 USD
Availability: InStock
Author: Victor Kowalenko

portada Partition Method for a Power Series Expansion: Theory and Applications (en Inglés)

Partition Method for a Power Series Expansion: Theory and Applications (en Inglés)

Formato

Libro Físico

Editorial

Academic Press

Autor

Victor Kowalenko

Año

2017

Idioma

Inglés

N° páginas

314

Encuadernación

Tapa Dura

ISBN13

9780128044667

N° edición

Categorías

Teoría de números

Partition Method for a Power Series Expansion: Theory and Applications (en Inglés)

Victor Kowalenko (Autor) · Academic Press · Tapa Dura

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Reseña del libro "Partition Method for a Power Series Expansion: Theory and Applications (en Inglés)"

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. Finally, the programming techniques of previous chapters are used to derive power series expansions for complex generating functions arising in the theory of partitions and in lattice models of statistical mechanics.Explains the partition method by presenting elementary applications involving the Bernoulli, cosecant, and reciprocal logarithm numbersCompares generating partitions via the BRCP algorithm with the standard lexicographic approachesDescribes how to program the partition method for a power series expansion and the BRCP algorithm