The Partition Method for a Power Series Expansion

The Partition Method for a Power Series Expansion
Author: Victor Kowalenko
Publsiher: Academic Press
Total Pages: 322
Release: 2017-01-19
ISBN 10: 0128045116
ISBN 13: 9780128045114
Language: EN, FR, DE, ES & NL

The Partition Method for a Power Series Expansion Book Review:

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

In Celebration of K C  Hines
Author: Bruce H. J. McKellar,Ken Amos
Publsiher: World Scientific
Total Pages: 240
Release: 2010
ISBN 10: 9814293660
ISBN 13: 9789814293662
Language: EN, FR, DE, ES & NL

In Celebration of K C Hines Book Review:

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

The Stokes Phenomenon  Borel Summation and Mellin Barnes Regularisation
Author: Victor Kowalenko
Publsiher: Bentham Science Publishers
Total Pages: 249
Release: 2009
ISBN 10: 1608050106
ISBN 13: 9781608050109
Language: EN, FR, DE, ES & NL

The Stokes Phenomenon Borel Summation and Mellin Barnes Regularisation Book Review:

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

Nuclear Science Abstracts

Nuclear Science Abstracts
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 1971-04
ISBN 10: 1928374650XXX
ISBN 13: PSU:000047759343
Language: EN, FR, DE, ES & NL

Nuclear Science Abstracts Book Review:

Computer Simulation Studies in Condensed Matter Physics XI

Computer Simulation Studies in Condensed Matter Physics XI
Author: David P. Landau,Heinz-Bernd Schüttler
Publsiher: Springer Science & Business Media
Total Pages: 227
Release: 2012-12-06
ISBN 10: 3642600956
ISBN 13: 9783642600951
Language: EN, FR, DE, ES & NL

Computer Simulation Studies in Condensed Matter Physics XI Book Review:

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.

Quantum Chromodynamics on the Lattice

Quantum Chromodynamics on the Lattice
Author: Christof Gattringer,Christian Lang
Publsiher: Springer Science & Business Media
Total Pages: 343
Release: 2009-10-16
ISBN 10: 3642018491
ISBN 13: 9783642018497
Language: EN, FR, DE, ES & NL

Quantum Chromodynamics on the Lattice Book Review:

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.

Reviews in Computational Chemistry

Reviews in Computational Chemistry
Author: Kenny B. Lipkowitz,Thomas R. Cundari,Donald B. Boyd
Publsiher: John Wiley & Sons
Total Pages: 568
Release: 2008-11-19
ISBN 10: 0470399538
ISBN 13: 9780470399538
Language: EN, FR, DE, ES & NL

Reviews in Computational Chemistry Book Review:

Computational chemistry is increasingly used in conjunction with organic, inorganic, medicinal, biological, physical, and analytical chemistry, biotechnology, materials science, and chemical physics. This series is essential in keeping those individuals involved in these fields abreast of recent developments in computational chemistry.

NASA technical note

NASA technical note
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 1968
ISBN 10: 1928374650XXX
ISBN 13: UOM:39015006092251
Language: EN, FR, DE, ES & NL

NASA technical note Book Review:

NASA Technical Note

NASA Technical Note
Author: United States. National Aeronautics and Space Administration
Publsiher: Unknown
Total Pages: 135
Release: 1965
ISBN 10: 1928374650XXX
ISBN 13: UIUC:30112008543198
Language: EN, FR, DE, ES & NL

NASA Technical Note Book Review:

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
Publsiher: SIAM
Total Pages: 333
Release: 2013-01-31
ISBN 10: 1611972434
ISBN 13: 9781611972436
Language: EN, FR, DE, ES & NL

Algebraic and Geometric Ideas in the Theory of Discrete Optimization Book Review:

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.

Radiationless Transitions

Radiationless Transitions
Author: Sheng Lin
Publsiher: Elsevier
Total Pages: 440
Release: 2012-12-02
ISBN 10: 0323150276
ISBN 13: 9780323150279
Language: EN, FR, DE, ES & NL

Radiationless Transitions Book Review:

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.

Low Dimensional Applications of Quantum Field Theory

Low Dimensional Applications of Quantum Field Theory
Author: L. Baulieu,Vladimir Kazakov,Marco Picco,Paul Windey
Publsiher: Springer Science & Business Media
Total Pages: 373
Release: 2013-12-01
ISBN 10: 1489919198
ISBN 13: 9781489919199
Language: EN, FR, DE, ES & NL

Low Dimensional Applications of Quantum Field Theory Book Review:

The Cargese Summer School "Low Dimensional Applications of Quantum Field Theory" was held in July 1995. The School was dedicated to the memory of Claude Itzykson. This session focused on the recent progress in quantum field theory in two dimen sions with a particular emphasis on integrable models and applications of quantum field theory to condensed matter physics. A large fraction of the school was also devoted to a detailed review of the exciting developments in four dimensional super symmetric Yang-Mills theory. The diversity of the topics presented constitute, in our opinion, one of the most attractive features of these proceedings. Some contributions constitute a very thor ough introduction to their subject matter and should be helpful to advanced students in the field while others present entirely new research, not previously published, and should be of considerable interest to the specialist. There were in depth introductory lectures on the application of conformal field theory techniques to disordered systems, on the quantum Hall effect, on quantum in tegrable systems, on the thermodynamic Bethe Ansatz and on the new developments in supersymmetric gauges theories. The computation of the three point function of the Liouville model using conformal bootstrap methods was presented in detail.

Out of the Crystal Maze

Out of the Crystal Maze
Author: Lillian Hoddeson
Publsiher: Oxford University Press on Demand
Total Pages: 697
Release: 1992
ISBN 10: 019505329X
ISBN 13: 9780195053296
Language: EN, FR, DE, ES & NL

Out of the Crystal Maze Book Review:

This monumental work chronicles the emergence of solid-state physics which grew to maturity between 1920 and 1960.

Statistical Physics I

Statistical Physics I
Author: Morikazu Toda,Ryogo Kubo,Nobuhiko Saito
Publsiher: Springer Science & Business Media
Total Pages: 256
Release: 2012-12-06
ISBN 10: 364258134X
ISBN 13: 9783642581342
Language: EN, FR, DE, ES & NL

Statistical Physics I Book Review:

Statistical Physics I discusses the fundamentals of equilibrium statistical mechanics, focussing on basic physical aspects. No previous knowledge of thermodynamics or the molecular theory of gases is assumed. Illustrative examples based on simple materials and photon systems elucidate the central ideas and methods.

Stochastic Processes in Epidemic Theory

Stochastic Processes in Epidemic Theory
Author: Jean-Pierre Gabriel,Claude Lefevre,Philippe Picard
Publsiher: Springer
Total Pages: 197
Release: 2014-03-11
ISBN 10: 3662100673
ISBN 13: 9783662100677
Language: EN, FR, DE, ES & NL

Stochastic Processes in Epidemic Theory Book Review:

This collection of papers gives a representative cross-selectional view of recent developments in the field. After a survey paper by C. Lefèvre, 17 other research papers look at stochastic modeling of epidemics, both from a theoretical and a statistical point of view. Some look more specifically at a particular disease such as AIDS, malaria, schistosomiasis and diabetes.

Mathematical Techniques and Physical Applications

Mathematical Techniques and Physical Applications
Author: J Killingbeck
Publsiher: Elsevier
Total Pages: 736
Release: 2012-12-02
ISBN 10: 0323142826
ISBN 13: 9780323142823
Language: EN, FR, DE, ES & NL

Mathematical Techniques and Physical Applications Book Review:

Mathematical Techniques and Physical Applications provides a wide range of basic mathematical concepts and methods, which are relevant to physical theory. This book is divided into 10 chapters that cover the different branches of traditional mathematics. This book deals first with the concept of vector, matrix, and tensor analysis. These topics are followed by discussions on several theories of series relevant to physics; the fundamentals of complex variables and analytic functions; variational calculus for presenting the basic laws of many branches of physics; and the applications of group representations. The final chapters explore some partial and integral equations and derivatives of physics, as well as the concept and application of probability theory. Physics teachers and students will greatly appreciate this book.

Functional Integrals and Statistical Physics

Functional Integrals and Statistical Physics
Author: S. G. Brush
Publsiher: Unknown
Total Pages: 39
Release: 1959
ISBN 10: 1928374650XXX
ISBN 13: UOM:39015077590324
Language: EN, FR, DE, ES & NL

Functional Integrals and Statistical Physics Book Review:

An Invitation to Combinatorics

An Invitation to Combinatorics
Author: Shahriar Shahriari
Publsiher: Cambridge University Press
Total Pages: 628
Release: 2021-07-22
ISBN 10: 1108476546
ISBN 13: 9781108476546
Language: EN, FR, DE, ES & NL

An Invitation to Combinatorics Book Review:

A conversational introduction to combinatorics for upper undergraduates, emphasizing problem solving and active student participation.

The Quantum Mechanics of Many Body Systems

The Quantum Mechanics of Many Body Systems
Author: D. J. Thouless
Publsiher: Academic Press
Total Pages: 186
Release: 2013-10-22
ISBN 10: 1483275965
ISBN 13: 9781483275963
Language: EN, FR, DE, ES & NL

The Quantum Mechanics of Many Body Systems Book Review:

The Quantum Mechanics of Many-Body Systems provides an introduction to that field of theoretical physics known as ""many-body theory."" It is concerned with problems that are common to nuclear physics, atomic physics, the electron theory of metals, and to the theories of liquid helium three and four, and it describes the methods which have recently been developed to solve such problems. The aim has been to produce a unified account of the field, rather than to describe all the parallel methods that have been developed; as a result, a number of important papers are not mentioned. The main emphasis is on the theories of atomic nuclei, the electron gas, and liquid helium; there is no discussion of molecular theory or of solid helium. The reader is expected to be familiar with the principles of nonrelativistic quantum mechanics and of statistical mechanics, but a knowledge of field theory and a detailed knowledge of nuclear and solid state physics are not assumed.

From Fourier Analysis and Number Theory to Radon Transforms and Geometry

From Fourier Analysis and Number Theory to Radon Transforms and Geometry
Author: Hershel M. Farkas,Robert C. Gunning,Marvin I. Knopp,B. A. Taylor
Publsiher: Springer Science & Business Media
Total Pages: 552
Release: 2012-09-18
ISBN 10: 1461440742
ISBN 13: 9781461440741
Language: EN, FR, DE, ES & NL

From Fourier Analysis and Number Theory to Radon Transforms and Geometry Book Review:

​​​A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis’s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis and a bit of applied mathematics. With the exception of one survey article, the papers in this volume are all new results in the various fields in which Ehrenpreis worked . There are papers in pure analysis, papers in number theory, papers in what may be called applied mathematics such as population biology and parallel refractors and papers in partial differential equations. The mature mathematician will find new mathematics and the advanced graduate student will find many new ideas to explore.​A biographical sketch of Leon Ehrenpreis by his daughter, a professional journalist, enhances the memorial tribute and gives the reader a glimpse into the life and career of a great mathematician.