The Partition Method for a Power Series Expansion Book

The Partition Method for a Power Series Expansion

  • Author : Victor Kowalenko
  • Publisher : Academic Press
  • Release Date : 2017-01-19
  • Genre: Mathematics
  • Pages : 322
  • ISBN 10 : 9780128045114

The Partition Method for a Power Series Expansion Excerpt :

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

In Celebration of K C  Hines Book

In Celebration of K C Hines

  • Author : Bruce H. J. McKellar
  • Publisher : World Scientific
  • Release Date : 2010
  • Genre: Science
  • Pages : 240
  • ISBN 10 : 9789814293662

In Celebration of K C Hines Excerpt :

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 fields. Sample Chapter(s). Chapter 1: Concerning Ken Hines... (358 KB). Contents: Resonant X-Ray Scattering and X-Ray Absorption: Closing the Circle? (Z Barnea et al.); The Screened Field of a Test Particle (R L Dewar); Aspects of Plasma Physics (R J Hosking); The Boltzmann Equation in Fluorescent Lamp Theory (G Lister); Pair Modes in Relativistic Quantum Plasmas (D B Melrose & J McOrist); Neutrons from the Galactic Centre (R R Volkas); Quaternions and Octonions in Nature (G C Joshi); Accretion onto the Supermassive Black Hole at the Centre of Our Galaxy (F Melia); and other papers. Readership: Academics and graduate students interested in physics.

The Stokes Phenomenon  Borel Summation and Mellin Barnes Regularisation Book

The Stokes Phenomenon Borel Summation and Mellin Barnes Regularisation

  • Author : Victor Kowalenko
  • Publisher : Bentham Science Publishers
  • Release Date : 2009
  • Genre: Mathematics
  • Pages : 262
  • ISBN 10 : 9781608050109

The Stokes Phenomenon Borel Summation and Mellin Barnes Regularisation Excerpt :

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 to a true disc

Computer Simulation Studies in Condensed Matter Physics XI Book

Computer Simulation Studies in Condensed Matter Physics XI

  • Author : David P. Landau
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Science
  • Pages : 227
  • ISBN 10 : 9783642600951

Computer Simulation Studies in Condensed Matter Physics XI Excerpt :

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 Simulational Physics established an annual workshop on Recent Developments in Computer Simulation Studies in Condensed Matter Physics. This year's workshop was the eleventh in this series, and the interest shown by the scientific community demonstrates quite clearly the useful purpose which the series has served. The latest workshop was held at The University of Georgia, February 23-27, 1998, and these proceedings provide a "status report" on a number of important topics. This volume is published with the goal of timely dissemination of the material to a wider audience. We wish to offer a special thanks to IBM Corporation for their generous support of this year's workshop. This volume contains both invited papers and contributed presentations on problems in both classical and quantum condensed matter physics. We hope that each reader will benefit from specialized results as well as profit from exposure to new algorithms, methods of analysis, and conceptual developments. Athens, GA, U. S. A. D. P. Landau April 1998 H-B.

Nuclear Science Abstracts Book

Nuclear Science Abstracts

  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1971
  • Genre: Nuclear energy
  • Pages : null
  • ISBN 10 : UOM:39015023544268

Nuclear Science Abstracts Excerpt :

Quantum Chromodynamics on the Lattice Book
Score: 3
From 2 Ratings

Quantum Chromodynamics on the Lattice

  • Author : Christof Gattringer
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-10-16
  • Genre: Science
  • Pages : 352
  • ISBN 10 : 9783642018497

Quantum Chromodynamics on the Lattice Excerpt :

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.

The Rise and Fall of the German Combinatorial Analysis Book

The Rise and Fall of the German Combinatorial Analysis

  • Author : Eduardo Noble
  • Publisher : Springer Nature
  • Release Date : 2022
  • Genre: Combinatorial analysis
  • Pages : 424
  • ISBN 10 : 9783030938208

The Rise and Fall of the German Combinatorial Analysis Excerpt :

This text presents the ideas of a particular group of mathematicians of the late 18th century known as "the German combinatorial school" and its influence. The book tackles several questions concerning the emergence and historical development of the German combinatorial analysis, which was the unfinished scientific research project of that group of mathematicians. The historical survey covers the three main episodes in the evolution of that research project: its theoretical antecedents (which go back to the innovative ideas on mathematical analysis of the late 17th century) and first formulation, its consolidation as a foundationalist project of mathematical analysis, and its dissolution at the beginning of the 19th century. In addition, the book analyzes the influence of the ideas of the combinatorial school on German mathematics throughout the 19th century.

Algebraic and Geometric Ideas in the Theory of Discrete Optimization Book

Algebraic and Geometric Ideas in the Theory of Discrete Optimization

  • Author : Jesus A. De Loera
  • Publisher : SIAM
  • Release Date : 2013-01-31
  • Genre: Mathematics
  • Pages : 320
  • ISBN 10 : 9781611972436

Algebraic and Geometric Ideas in the Theory of Discrete Optimization Excerpt :

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 optimization. This book can be used as a textbook for advanced undergraduates or first-year graduate students in mathematics, computer science or operations research. It is also appropriate for mathematicians, engineers, and scientists engaged in computation who wish to gain a deeper understanding of how and why algorithms work.

Out of the Crystal Maze Book

Out of the Crystal Maze

  • Author : Lillian Hoddeson
  • Publisher : Oxford University Press on Demand
  • Release Date : 1992
  • Genre: Science
  • Pages : 722
  • ISBN 10 : 9780195053296

Out of the Crystal Maze Excerpt :

Focuses on the field of solid-state physics - also referred to as condensed matter physics - which grew to maturity between 1920 and 1960. The history of some exciting developments is told here in an easy-to-follow text, accessible to general readers, while maintaining standards of high scholarship.

NASA Technical Note Book

NASA Technical Note

  • Author : United States. National Aeronautics and Space Administration
  • Publisher : Unknown
  • Release Date : 1959
  • Genre: Aeronautics
  • Pages : null
  • ISBN 10 : UIUC:30112008543198

NASA Technical Note Excerpt :

NASA technical note Book

NASA technical note

  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1965
  • Genre: Aeronautics
  • Pages : 996
  • ISBN 10 : UOM:39015006089752

NASA technical note Excerpt :

Radiationless Transitions Book

Radiationless Transitions

  • Author : Sheng Lin
  • Publisher : Elsevier
  • Release Date : 2012-12-02
  • Genre: Science
  • Pages : 440
  • ISBN 10 : 9780323150279

Radiationless Transitions Excerpt :

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 high pressure effects on molecular luminescence and the internal conversion involving localized excitations, presenting one qualitative and one quantitative example, as well as the intersystem crossing with localized excitations. A chapter explores the energy transfer processes that occur after a molecule in solution is excited by light, with an emphasis on solid solutions in which the large amplitude molecular motion is largely quenched. This chapter also looks into the liquid solutions in which the molecules can translate and rotate under the influence of fluctuating forces from the liquid. The concluding chapter focuses on ultrafast processes. Researchers in the fields of physics, chemistry, and biology will benefit from this book.

Computational Techniques and Applications  CTAC 95 Book

Computational Techniques and Applications CTAC 95

  • Author : R L May
  • Publisher : World Scientific
  • Release Date : 1996-08-30
  • Genre: Uncategoriezed
  • Pages : 896
  • ISBN 10 : 9789814547284

Computational Techniques and Applications CTAC 95 Excerpt :

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 in Industrial Mathematics (F R de Hoog & N I Robinson)An Inverse Problem in Environmental Protection (J M Barry)Computational Techniques for Structural Assessment of Bridges (T Chalko et al)A Computationally Fast Method to Model Thin Strip Rolling (A E Dixon & W Y D Yuen)Comparison of Boundary Element Representations for Potential Fields (M J Drumm & T G Phemister)On the Computation of Stability Limits for Fusion Experiments (P R Garabedian & H J Gardner)The Finite Lattice Method of Series Expansions (I Jensen et al)A Comparison of Finite Difference and Lagrangian-Stochastic Methods for Oil Slick Tracking (G D Lewis et al)Numerical Modelling Techniques for Simulating the Microwave Heating of Polymer Materials Inside a Ridge Waveguide (F Liu & I Turner)Transport of Mucus (A H Pincombe & G D Tansley)Iterative Schemes for Series Solutions to Laplacian Free Boundary Problems (W W Read et al)A Systematic Approach to Calibrating Hydrodynamic Numerical Models (M D Teubner et al)Computation of Turbulent Combustion Flows with a Finite-Element Method (Z Zhu & N Stokes)and other papers Readership: Scientists in numerical and computational methods, applied mathematics, computational physics, supercomputing/parallel processing and fluid mechanics. keywords:

Surface Physics of Materials Book

Surface Physics of Materials

  • Author : J.M. Blakely
  • Publisher : Elsevier
  • Release Date : 2012-12-02
  • Genre: Science
  • Pages : 298
  • ISBN 10 : 9780323157070

Surface Physics of Materials Excerpt :

Surface Physics of Materials provides an account of the physical properties of solid surfaces. It examines the status of work on a number of aspects of solid surfaces and predicts the most profitable avenues for future research. The book contains a set of papers carefully selected to give broad coverage of the field of surface physics. The individual chapters deal with topics of current research interest and emphasize surface properties rather than the applicability of experimental techniques. The book covers different properties such as surface crystallography, electronic structure, and statistical thermodynamics of surface. It also provides a background of the importance of surfaces and interfaces in solid state devices and chemical reactions. This book caters to research workers, teachers, and graduate students in surface physics and serves as reference texts for the materials scientist specializing in other branches of the subject.