The Partition Method for a Power Series Expansion

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

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  • Author : Victor Kowalenko
  • Publisher : Academic Press
  • Pages : 322 pages
  • ISBN : 9780128044667
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKThe Partition Method for a Power Series Expansion

The Partition Method for a Power Series Expansion

The Partition Method for a Power Series Expansion
  • Author : Victor Kowalenko
  • Publisher : Academic Press
  • Release : 02 February 2017
GET THIS BOOKThe Partition Method for a Power Series Expansion

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

In Celebration of K.C. Hines

In Celebration of K.C. Hines
  • Author : Bruce H. J. McKellar,Ken Amos
  • Publisher : World Scientific
  • Release : 19 May 2021
GET THIS BOOKIn Celebration of K.C. Hines

This book presents a comprehensive review of a diverse range of subjects in physics written by physicists who have all been taught by or are associated with K C Hines. Ken Hines was a great mentor with far-reaching influence on his students who later went on to make outstanding contributions to physics in their careers. The papers provide significant insights into statistical physics, plasma physics from fluorescent lighting to quantum pair plasmas, cosmic ray physics, nuclear reactions, and many other

Introduction to Phase Transitions and Critical Phenomena

Introduction to Phase Transitions and Critical Phenomena
  • Author : Harry Eugene Stanley
  • Publisher : Oxford University Press, USA
  • Release : 19 May 1971
GET THIS BOOKIntroduction to Phase Transitions and Critical Phenomena

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 this paperback edition of Stanley's acclaimed text.