The Partition Method for a Power Series Expansion

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  • Publisher : Academic Press
  • 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

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The Partition Method for a Power Series Expansion

The Partition Method for a Power Series Expansion
  • Author : Victor Kowalenko
  • Publisher : Academic Press
  • Release Date : 2017-01-19
  • ISBN : 9780128045114
DOWNLOAD 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

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DOWNLOAD BOOKIn Celebration of K.C. Hines

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  • ISBN : 9781608050109
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  • Publisher : Unknown
  • Release Date : 1971
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  • Publisher : Springer Science & Business Media
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  • ISBN : 9783642600951
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  • Publisher : SIAM
  • Release Date : 2013-01-31
  • ISBN : 9781611972436
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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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  • Publisher : Cambridge University Press
  • Release Date : 2015
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DOWNLOAD BOOKA Guide to Monte Carlo Simulations in Statistical Physics

This revised fourth edition provides an introduction to computer simulations in physics, cutting-edge algorithms, essential techniques, and petascale computing.

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DOWNLOAD BOOKRadiationless Transitions

Radiationless Transitions is a critical discussion of research studies on the theory and experiments in radiationless transitions. This book is composed of nine chapters, and begins with discussions on the theory and experiment of photophysical processes of single vibronic levels and/or single rovibronic levels. The subsequent chapters deal with the spectroscopic investigations of intramolecular vibrational relaxation; the dynamics of molecular excitation by light; and the photophysical processes of small molecules in condensed phase. The discussions then shift to the

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