Books in Nonlinear statistical and mathematical physics general

Exploring Monte Carlo Methods

2nd Edition
June 7, 2022
William L. Dunn + 1 more
English
Paperback
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Exploring Monte Carlo Methods, Second Edition provides a valuable introduction to the numerical methods that have come to be known as "Monte Carlo." This unique and trusted resource for course use, as well as researcher reference, offers accessible coverage, clear explanations and helpful examples throughout. Building from the basics, the text also includes applications in a variety of fields, such as physics, nuclear engineering, finance and investment, medical modeling and prediction, archaeology, geology and transportation planning.

A First Course in Rational Continuum Mechanics

1st Edition
February 17, 2016
C. Truesdell
Samuel Eilenberg + 1 more
English
eBook
9 7 8 1 4 8 3 2 2 0 4 8 2

A First Course in Rational Continuum Mechanics, Volume 1: General Concepts describes general concepts in rational continuum mechanics and covers topics ranging from bodies and forces to motions and energies, kinematics, and the stress tensor. Constitutive relations are also discussed, and some definitions and theorems of algebra, geometry, and calculus are included. Exercises and their solutions are given as well. Comprised of four chapters, this volume begins with an introduction to rational mechanics by focusing on the mathematical concepts of bodies, forces, motions, and energies. Systems that provide possible universes for mechanics are described. The next chapter explores kinematics, with emphasis on bodies, placements, and motions as well as other relevant concepts like local deformation and homogeneous transplacement. The book also considers the stress tensor and Cauchy's fundamental theorem before concluding with a discussion on constitutive relations. This monograph is designed for students taking a course in mathematics or physics.

Concepts of Mathematical Physics in Chemistry: A Tribute to Frank E. Harris - Part B

1st Edition
Volume 72
January 14, 2016
John R. Sabin + 1 more
English
Hardback
9 7 8 0 1 2 8 0 3 9 8 4 7
eBook
9 7 8 0 1 2 8 0 3 9 8 5 4

Concepts of Mathematical Physics in Chemistry: A Tribute to Frank E. Harris - Part B, presents a series of articles concerning important topics in quantum chemistry, including surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology.

Mathematical Modeling in Diffraction Theory

1st Edition
September 19, 2015
Alexander G. Kyurkchan + 1 more
English
eBook
9 7 8 0 1 2 8 0 3 7 4 8 5

Mathematical Modeling in Diffraction Theory: Based on A Priori Information on the Analytical Properties of the Solution provides the fundamental physical concepts behind the theory of wave diffraction and scattered wave fields as well as its application in radio physics, acoustics, optics, radio astronomy, biophysics, geophysics, and astrophysics. This book provides a coherent discussion of several advanced topics that have the potential to push forward progress in this field. It begins with examples illustrating the importance of taking a priori information into account when developing algorithms for solving diffraction problems, with subsequent chapters discussing the basic analytical representations of wave fields, the auxiliary current and source methods for solving the problems of diffraction at compact scatterers, the null field and matrix methods that are widely used to solve problems in radio-physics, radio-astronomy, and biophysics, and the continued boundary condition and pattern equation method.

Uncommon Paths in Quantum Physics

1st Edition
June 26, 2014
Konstantin V. Kazakov
English
Hardback
9 7 8 0 1 2 8 0 1 5 8 8 9
eBook
9 7 8 0 1 2 8 0 1 5 9 8 8

Quantum mechanics is one of the most fascinating, and at the same time most controversial, branches of contemporary science. Disputes have accompanied this science since its birth and have not ceased to this day. Uncommon Paths in Quantum Physics allows the reader to contemplate deeply some ideas and methods that are seldom met in the contemporary literature. Instead of widespread recipes of mathematical physics, based on the solutions of integro-differential equations, the book follows logical and partly intuitional derivations of non-commutative algebra. Readers can directly penetrate the abstract world of quantum mechanics.

Random Matrices

2nd Edition
May 19, 2014
Madan Lal Mehta
English
eBook
9 7 8 1 4 8 3 2 9 5 9 5 4

Since the publication of Random Matrices (Academic Press, 1967) so many new results have emerged both in theory and in applications, that this edition is almost completely revised to reflect the developments. For example, the theory of matrices with quaternion elements was developed to compute certain multiple integrals, and the inverse scattering theory was used to derive asymptotic results. The discovery of Selberg's 1944 paper on a multiple integral also gave rise to hundreds of recent publications. This book presents a coherent and detailed analytical treatment of random matrices, leading in particular to the calculation of n-point correlations, of spacing probabilities, and of a number of statistical quantities. The results are used in describing the statistical properties of nuclear excitations, the energies of chaotic systems, the ultrasonic frequencies of structural materials, the zeros of the Riemann zeta function, and in general the characteristic energies of any sufficiently complicated system. Of special interest to physicists and mathematicians, the book is self-contained and the reader need know mathematics only at the undergraduate level.

Noise in Physical Systems and 1/f Noise - 1985

1st Edition
December 2, 2012
A. d'Amico + 1 more
English
eBook
9 7 8 0 4 4 4 6 0 0 1 9 6

These proceedings contain 11 invited papers and approximately 80 contributed papers presented at this international conference. The topics covered include: - noise theory and mechanisms, including parametric excitation in physical systems, computer simulation of Barkhausen jump field distribution and chaotic oscillations in Josephson junctions; - devices, including thermal noise in a high inductance SQUID, high frequency noise in Schottky barriers diodes and mode fluctuations in semiconductor laser; - biological systems including resistivity fluctuations in ionic solutions; - quantum noise, including properties of low temperature quantum noise and macroscopic quantum tunneling.

Computed Radiation Imaging

1st Edition
May 27, 2011
Esam M A Hussein
English
eBook
9 7 8 0 1 2 3 8 7 7 7 8 9

Computer-assisted imaging with radiation (x- and gamma rays) is an integral part of modern medical-diagnostic practice. This imaging technology is also slowly finding its way into industrial applications. Although the technology is well developed, there is a need for further improvement to enhance image quality, reduce artifacts, minimize patient radiation exposure, compete with and complement other imaging methods (such as magnetic resonance imaging and ultrasonics), and accommodate dense and large objects encountered in industrial applications.Scientists and engineers, attempting to progress this technology, are faced with an enormous amount of literature, addressing the imaging problem from various view points. This book provides a single source that addresses both the physical and mathematical aspects of the imaging problem in a consistent and comprehensive manner.

Lectures on Dynamics of Stochastic Systems

1st Edition
September 9, 2010
Valery I. Klyatskin
English
Hardback
9 7 8 0 1 2 3 8 4 9 6 6 3
eBook
9 7 8 0 1 2 3 8 4 9 6 7 0

Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. Models naturally render to statistical description, where random processes and fields express the input parameters and solutions. The fundamental problem of stochastic dynamics is to identify the essential characteristics of the system (its state and evolution), and relate those to the input parameters of the system and initial data. This book is a revised and more comprehensive version of Dynamics of Stochastic Systems. Part I provides an introduction to the topic. Part II is devoted to the general theory of statistical analysis of dynamic systems with fluctuating parameters described by differential and integral equations. Part III deals with the analysis of specific physical problems associated with coherent phenomena.

Niels Bohr - Collected Works

1st Edition
Volume 13
June 3, 2008
Finn Aaserud
English
Hardback
9 7 8 0 4 4 4 5 3 2 9 1 6
eBook
9 7 8 0 0 8 0 8 7 1 1 1 0

Niels Bohr: Collected Works, Volume 13: Cumulative Subject Index documents aspects of Niels Bohr's varied life and work in the form of a cumulative subject index, with emphasis on his scientific contributions in the field of physics. The general organization of the material is thematic rather than strictly chronological, allowing for the presentation of each paper (or group of papers) along with other relevant material such as drafts, notes, letters, and other items. The book is illustrated with rare photos and includes explanatory notes as well as a bibliography. The bibliography is restricted to the versions of Bohr's publications reproduced in this volume and encompasses a wide range of topics in physics, from the determination of the surface tension of water by the method of jet vibration to the electron theory of metals and of thermoelectric phenomena; the theory of the decrease of velocity of moving electrified particles on passing through matter; the constitution of atoms and molecules; and the spectra of helium and hydrogen. Bohr's other papers focus on the effect of electric and magnetic fields on spectral lines; the quantum theory of radiation and the structure of the atom; the polarization of radiation in the quantum theory; and collisions between atomic systems and free electrical particles. This monograph will be useful to students, practitioners, and researchers interested in Bohr's life and work in general and in quantum mechanics in particular.

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