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

Produk Detail:

  • Author : Victor Kowalenko
  • Publisher : Academic Press
  • Pages : 322 pages
  • ISBN : 0128045116
  • 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 : 19 January 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 : 28 October 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

The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation

The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation
  • Author : Victor Kowalenko
  • Publisher : Bentham Science Publishers
  • Release : 28 October 2021
GET THIS BOOKThe Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation

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

Dependability for Systems with a Partitioned State Space

Dependability for Systems with a Partitioned State Space
  • Author : Attila Csenki
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKDependability for Systems with a Partitioned State Space

Probabilistic models of technical systems are studied here whose finite state space is partitioned into two or more subsets. The systems considered are such that each of those subsets of the state space will correspond to a certain performance level of the system. The crudest approach differentiates between 'working' and 'failed' system states only. Another, more sophisticated, approach will differentiate between the various levels of redundancy provided by the system. The dependability characteristics examined here are random variables associated with

Computational Techniques and Applications: CTAC 95

Computational Techniques and Applications: CTAC 95
  • Author : R L May,A K Easton
  • Publisher : World Scientific
  • Release : 30 August 1996
GET THIS BOOKComputational Techniques and Applications: CTAC 95

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

Quantum Chromodynamics on the Lattice

Quantum Chromodynamics on the Lattice
  • Author : Christof Gattringer,Christian Lang
  • Publisher : Springer Science & Business Media
  • Release : 16 October 2009
GET THIS BOOKQuantum Chromodynamics on the Lattice

This introduction to quantum chromodynamics presents the basic concepts and calculations in a clear and didactic style accessible to those new to the field. Readers will find useful methods for obtaining numerical results, including pure gauge theory and quenched spectroscopy.

Computer Simulation Studies in Condensed-Matter Physics XI

Computer Simulation Studies in Condensed-Matter Physics XI
  • Author : David P. Landau,Heinz-Bernd Schüttler
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKComputer Simulation Studies in Condensed-Matter Physics XI

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

Quantum Dissipative Systems

Quantum Dissipative Systems
  • Author : Ulrich Weiss
  • Publisher : World Scientific
  • Release : 28 October 2021
GET THIS BOOKQuantum Dissipative Systems

Major advances in the quantum theory of macroscopic systems, in combination with experimental achievements, have brightened the field and brought it to the attention of the general community in natural sciences. This edition delves deeper into the fundamental concepts, methods, and applications of quantum dissipative systems.

Algebraic and Geometric Ideas in the Theory of Discrete Optimization

Algebraic and Geometric Ideas in the Theory of Discrete Optimization
  • Author : JesÏs A. De Loera,Raymond Hemmecke,Matthias KÓppe
  • Publisher : SIAM
  • Release : 31 January 2013
GET THIS BOOKAlgebraic and Geometric Ideas in the Theory of Discrete Optimization

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

Quantum Dissipative Systems

Quantum Dissipative Systems
  • Author : Ulrich Weiss
  • Publisher : World Scientific
  • Release : 05 March 2012
GET THIS BOOKQuantum Dissipative Systems

Starting from first principles, this book introduces the fundamental concepts and methods of dissipative quantum mechanics and explores related phenomena in condensed matter systems. Major experimental achievements in cooperation with theoretical advances have brightened the field and brought it to the attention of the general community in natural sciences. Nowadays, working knowledge of dissipative quantum mechanics is an essential tool for many physicists. This book — originally published in 1990 and republished in 1999 and and 2008 as enlarged second and third editions — delves

Computational statistical physics

Computational statistical physics
  • Author : Sitangshu Bikas Santra,Purusattam Ray
  • Publisher : Springer
  • Release : 15 July 2011
GET THIS BOOKComputational statistical physics

The present book is an outcome of the SERC school on Computational Statistical Physics held at the Indian Institute of Technology, Guwahati, in December 2008. Numerical experimentation has played an extremely important role in statistical physics in recent years. Lectures given at the School covered a large number of topics of current and continuing interest. Based on lectures by active researchers in the field- Bikas Chakrabarti, S Chaplot, Deepak Dhar, Sanjay Kumar, Prabal Maiti, Sanjay Puri, Purusattam Ray, Sitangshu Santra and

Parallel Algorithms for Optimal Control of Large Scale Linear Systems

Parallel Algorithms for Optimal Control of Large Scale Linear Systems
  • Author : Zoran Gajic,Xuemin Shen
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKParallel Algorithms for Optimal Control of Large Scale Linear Systems

Parallel Algorithms for Optimal Control of Large Scale Linear Systems is a comprehensive presentation for both linear and bilinear systems. The parallel algorithms presented in this book are applicable to a wider class of practical systems than those served by traditional methods for large scale singularly perturbed and weakly coupled systems based on the power-series expansion methods. It is intended for scientists and advance graduate students in electrical engineering and computer science who deal with parallel algorithms and control systems,