The Partition Method for a Power Series Expansion

Written By Victor Kowalenko
The Partition Method for a Power Series Expansion
  • Publsiher : Academic Press
  • Release : 02 February 2017
  • ISBN : 9780128044667
  • Pages : 322 pages
  • Rating : /5 from reviews
GET THIS BOOKThe Partition Method for a Power Series Expansion


Download or read book entitled The Partition Method for a Power Series Expansion by author: Victor Kowalenko which was release on 02 February 2017 and published by Academic Press with total page 322 pages . This book available in PDF, EPUB and Kindle Format. 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 numbers Compares generating partitions via the BRCP algorithm with the standard lexicographic approaches Describes how to program the partition method for a power series expansion and the BRCP algorithm

The Partition Method for a Power Series Expansion

The Partition Method for a Power Series Expansion
  • Author : Victor Kowalenko
  • Publisher : Academic Press
  • Release Date : 2017-02-02
  • Total pages : 322
  • ISBN : 9780128044667
GET BOOK

Summary : 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 ...

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  • Publisher : Unknown
  • Release Date : 1971
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Nuclear Science Abstracts

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Summary : First published in 1971, this highly popular text is devoted to the interdisciplinary area of critical phenomena, with an emphasis on liquid-gas and ferromagnetic transitions. Advanced undergraduate and graduate students in thermodynamics, statistical mechanics, and solid state physics, as well as researchers in physics, mathematics, chemistry, and materials science, will welcome ...

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