# The Partition Method for a Power Series Expansion

• Release : 19 January 2017
• ISBN : 9780128045114
• Page : 322 pages
• Rating : 4.5/5 from 103 voters

## The Partition Method for a Power Series Expansion Book PDF 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 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

• Author : Victor Kowalenko
• Release Date : 2017-01-19
• ISBN : 9780128045114

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

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• Author : Bruce H. J. McKellar,Ken Amos
• Publisher : World Scientific
• Release Date : 2010
• ISBN : 9789814293662

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

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• Author : Victor Kowalenko
• Publisher : Bentham Science Publishers
• Release Date : 2009
• ISBN : 9781608050109

The Stokes phenomenon refers to the emergence of jump discontinuities in asymptotic expansions at specific rays in the complex plane. This book presents a radical theory for the phenomenon by introducing the concept of regularization. Two methods of regularization, Borel summation and Mellin-Barnes regularization, are used to derive general expressions for the regularized values of asymptotic expansions throughout the complex plane. Though different, both yield identical values, which, where possible, agree with the original functions. Consequently, asymptotics has been elevated

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• Publisher : Unknown
• Release Date : 1971
• ISBN : UOM:39015023544268

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• Publisher : Springer Science & Business Media
• Release Date : 2012-12-06
• ISBN : 9783642600951

More than a decade ago, because of the phenomenal growth in the power of computer simulations, The University of Georgia formed the first institutional unit devoted to the use of simulations in research and teaching: The Center for Simulational Physics. As the simulations community expanded further, we sensed a need for a meeting place for both experienced simulators and neophytes to discuss new techniques and recent results in an environment which promoted extended discussion. As a consequence, the Center for

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• Author : Christof Gattringer,Christian Lang
• Publisher : Springer Science & Business Media
• Release Date : 2009-10-16
• ISBN : 9783642018497

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• Author : JesÏs A. De Loera,Raymond Hemmecke,Matthias KÓppe
• Publisher : SIAM
• Release Date : 2013-01-31
• ISBN : 9781611972436

In recent years, many new techniques have emerged in the mathematical theory of discrete optimization that have proven to be effective in solving a number of hard problems. This book presents these recent advances, particularly those that arise from algebraic geometry, commutative algebra, convex and discrete geometry, generating functions, and other tools normally considered outside of the standard curriculum in optimization. These new techniques, all of which are presented with minimal prerequisites, provide a transition from linear to nonlinear discrete

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• Author : Anonim
• Publisher : Unknown
• Release Date : 1965
• ISBN : UOM:39015006089752

### NASA Technical Note

• Author : United States. National Aeronautics and Space Administration
• Publisher : Unknown
• Release Date : 1959
• ISBN : UIUC:30112008543198

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• Author : David P. Landau,Kurt Binder
• Publisher : Cambridge University Press
• Release Date : 2015
• ISBN : 9781107074026

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• Author : Sheng Lin
• Publisher : Elsevier
• Release Date : 2012-12-02
• ISBN : 9780323150279

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• Publisher : Oxford University Press on Demand
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• ISBN : 9780195053296

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### A Guide to Monte Carlo Simulations in Statistical Physics

• Author : David Landau,Kurt Binder
• Publisher : Cambridge University Press
• Release Date : 2021-07-29
• ISBN : 9781108490146

Unique coverage of Monte Carlo methods for both continuum and lattice systems, explaining particularly analysis of phase transitions.

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• Author : Morikazu Toda,Ryogo Kubo,Nobuhiko Saito
• Publisher : Springer Science & Business Media
• Release Date : 2012-12-06
• ISBN : 9783642581342

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• Author : R L May,A K Easton
• Publisher : World Scientific
• Release Date : 1996-08-30
• ISBN : 9789814547284

This proceedings contains seven invited papers and 100 contributed papers. The topics covered range from studies of theoretical aspects of computational methods through to simulations of large-scale industrial processes, with an emphasis on the efficient use of computers to solve practical problems. Developers and users of computational techniques who wish to keep up with recent developments in the application of modern computational technology to problems in science and engineering will find much of interest in this volume. Contents:Some Case Studies