Skip to main content
Elsevier

Books in Nonlinear statistical and mathematical physics general

  • Exploring Monte Carlo Methods

    • 2nd Edition
    • William L. Dunn + 1 more
    • English
    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

    General Concepts
    • 1st Edition
    • C. Truesdell
    • Samuel Eilenberg + 1 more
    • English
    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
    • English
    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

    Based on A Priori Information on the Analytical Properties of the Solution
    • 1st Edition
    • Alexander G. Kyurkchan + 1 more
    • English
    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
    • Konstantin V. Kazakov
    • English
    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

    Revised and Enlarged Second Edition
    • 2nd Edition
    • Madan Lal Mehta
    • English
    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.

  • Vibration Measurement and Analysis

    • 1st Edition
    • J. D. Smith
    • English
    Vibration Measurement and Analysis presents the different approaches of vibration measurement and analysis techniques. The book begins with a discussion of the reasons for conducting vibration measurements. Subsequent chapters cover topics on general measurement requirements, transducers and the measurement of sound, and signal conditioning and recording. Analysis methods and frequency analysis, techniques of correlation and averaging, and automation of vibration testing are discussed as well. Mechanical engineers will find the book very useful.

  • Lectures on Theoretical Physics

    Thermodynamics and Statistical Mechanics
    • 1st Edition
    • Arnold Sommerfeld
    • F. Bopp + 2 more
    • English
    Thermodynamics and Statistical Mechanics deals with the method of thermodynamic potentials, the four Gibbsian potentials, and Boltzmann's statistics. The book reviews the general considerations of thermodynamics, such as the first and second laws of thermodynamics, the van der Waals equation, and Nernst's third law of thermodynamics. The text also discusses the application of thermodynamics to special systems, the theory of phase equilibria, the electromotive force of galvanic cells, and the thermodynamics of near-equilibrium processes. The book explains the equation of state of a perfect gas, the Maxwellian velocity distribution, and the statistical significance of the constants in van der Waal's equation. The text notes that the states of equilibrium can be treated in a simple manner compared to complex methods used in problems connected with irreversible processes. The book explains that the atoms in a molecule are capable of performing small vibrations about their position of equilibrium as they possess both kinetic and potential energy. The text also discusses the quantization of vibrational energy and rotational energy. The book can be helpful for students of physics, thermodynamics, and related subjects. It can also be used by instructors in advanced physics.

  • Noise in Physical Systems and 1/f Noise - 1985

    • 1st Edition
    • A. d'Amico + 1 more
    • English
    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.

  • Remote Sensing

    Models and Methods for Image Processing
    • 2nd Edition
    • Robert A. Schowengerdt
    • English
    This book is a completely updated, greatly expanded version of the previously successful volume by the author. The Second Edition includes new results and data, and discusses a unified framework and rationale for designing and evaluating image processing algorithms.Written from the viewpoint that image processing supports remote sensing science, this book describes physical models for remote sensing phenomenology and sensors and how they contribute to models for remote-sensing data. The text then presents image processing techniques and interprets them in terms of these models. Spectral, spatial, and geometric models are used to introduce advanced image processing techniques such as hyperspectral image analysis, fusion of multisensor images, and digital elevationmodel extraction from stereo imagery.The material is suited for graduate level engineering, physical and natural science courses, or practicing remote sensing scientists. Each chapter is enhanced by student exercises designed to stimulate an understanding of the material. Over 300 figuresare produced specifically for this book, and numerous tables provide a rich bibliography of the research literature.

  • Computed Radiation Imaging

    Physics and Mathematics of Forward and Inverse Problems
    • 1st Edition
    • Esam M A Hussein
    • English
    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.Scienti... 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
    • Valery I. Klyatskin
    • English
    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

    Cumulative Subject Index
    • 1st Edition
    • Volume 13
    • Finn Aaserud
    • English
    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.

  • Ultrashort Laser Pulse Phenomena

    • 2nd Edition
    • Jean-Claude Diels + 1 more
    • English
    Ultrashort Laser Pulse Phenomena, Second Edition serves as an introduction to the phenomena of ultra short laser pulses and describes how this technology can be used to examine problems in areas such as electromagnetism, optics, and quantum mechanics. Ultrashort Laser Pulse Phenomena combines theoretical backgrounds and experimental techniques and will serve as a manual on designing and constructing femtosecond ("faster than electronics") systems or experiments from scratch. Beyond the simple optical system, the various sources of ultrashort pulses are presented, again with emphasis on the basic concepts and how they apply to the design of particular sources (dye lasers, solid state lasers, semiconductor lasers, fiber lasers, and sources based on frequency conversion).

  • Recent Advances in Multidisciplinary Applied Physics

    Proceedings of the First International Meeting on Applied Physics (APHYS-2003)
    • 1st Edition
    • Antonio Mendez-Vilas
    • English
    The 1st International Meeting on Applied Physics (APHYS-2003) succeeded in creating a new international forum for applied physics in Europe, with specific interest in the application of techniques, training, and culture of physics to research areas usually associated with other scientific and engineering disciplines.This book contains a selection of peer-reviewed papers presented at APHYS-2003, held in Badajoz (Spain), from 15th to 18th October 2003, which included the following Plenary Lectures:* Nanobiotechnology - Interactions of Cells with Nanofeatured Surfaces and with Nanoparticles* Radiation Protection of Nuclear Workers - Ethical Issues* Chaotic Data Encryption for Optical Communications

  • Unifying Concepts in Granular Media and Glasses

    From the Statistical Mechanics of Granular Media to the Theory of Jamming
    • 1st Edition
    • Antonio Coniglio + 3 more
    • English
    Deep connections are emerging in the physics of non-thermal systems,such as granular media, and other "complex systems" such as glass formers, spin glasses, colloids or gels. This book discusses the unifying physical theories, developed in recent years, for the description of these systems. The special focus of the book is on recent important developments in the formulation of a Statistical Mechanics approach to granular media and the description of out-of-equilibrium dynamics, such as "jamming" phenomena, ubiquitous in these "complex systems". The book collects contributions from leading researchers in these fields, providing both an introduction, at a graduate level, to these rapidly developing subjects and featuring an up to date, self contained, presentation of theoretical and experimental developments for researchers in areas ranging from Chemistry, to Engineering and Physical Sciences.

  • The Classical Stefan Problem

    Basic Concepts, Modelling and Analysis
    • 1st Edition
    • Volume 45
    • S.C. Gupta
    • English
    This volume emphasises studies related to classical Stefan problems. The term "Stefan problem" is generally used for heat transfer problems with phase-changes such as from the liquid to the solid. Stefan problems have some characteristics that are typical of them, but certain problems arising in fields such as mathematical physics and engineering also exhibit characteristics similar to them. The term ``classical" distinguishes the formulation of these problems from their weak formulation, in which the solution need not possess classical derivatives. Under suitable assumptions, a weak solution could be as good as a classical solution. In hyperbolic Stefan problems, the characteristic features of Stefan problems are present but unlike in Stefan problems, discontinuous solutions are allowed because of the hyperbolic nature of the heat equation. The numerical solutions of inverse Stefan problems, and the analysis of direct Stefan problems are so integrated that it is difficult to discuss one without referring to the other. So no strict line of demarcation can be identified between a classical Stefan problem and other similar problems. On the other hand, including every related problem in the domain of classical Stefan problem would require several volumes for their description. A suitable compromise has to be made. The basic concepts, modelling, and analysis of the classical Stefan problems have been extensively investigated and there seems to be a need to report the results at one place. This book attempts to answer that need.

  • Tunable Laser Optics

    • 1st Edition
    • Frank J. Duarte
    • English
    Chapters will provide self-contained treatment of the topic as much as possible to allow the reader to go directly to the appropriate chapter to deal with a particular topic of concern. This sharp focus is necessary to maintain the emphasis, and to make this a practical reference. The knowledge and experience will integrate aspects of laser oscillators, laser amplifiers, laser systems, engineering of rugged laser cavities, design and engineering of laser-based instrumentation, and design of highly reliable laser systems for material processing applications.

  • Pattern Recognition

    • 2nd Edition
    • Sergios Theodoridis + 1 more
    • English
    Pattern recognition is a scientific discipline that is becoming increasingly important in the age of automation and information handling and retrieval. Patter Recognition, 2e covers the entire spectrum of pattern recognition applications, from image analysis to speech recognition and communications. This book presents cutting-edge material on neural networks, - a set of linked microprocessors that can form associations and uses pattern recognition to "learn" -and enhances student motivation by approaching pattern recognition from the designer's point of view. A direct result of more than 10 years of teaching experience, the text was developed by the authors through use in their own classrooms.

  • Nonlinear Optics

    • 2nd Edition
    • Robert W. Boyd
    • English
    The Optical Society of America (OSA) and SPIE – The International Society for Optical Engineering have awarded Robert Boyd with an honorable mention for the Joseph W. Goodman Book Writing Award for his work on Nonlinear Optics, 2nd edition.Nonlinear optics is essentially the study of the interaction of strong laser light with matter. It lies at the basis of the field of photonics, the use of light fields to control other light fields and to perform logical operations. Some of the topics of this book include the fundamentals and applications of optical systems based on the nonlinear interaction of light with matter. Topics to be treated include: mechanisms of optical nonlinearity, second-harmonic and sum- and difference-frequency generation, photonics and optical logic, optical self-action effects including self-focusing and optical soliton formation, optical phase conjugation, stimulated Brillouin and stimulated Raman scattering, and selection criteria of nonlinear optical materials.

  • Optical Fiber Telecommunications IV-A

    Components
    • 4th Edition
    • Volume A
    • Ivan Kaminow + 1 more
    • English
    Volume IVA is devoted to progress in optical component research and development. Topics include design of optical fiber for a variety of applications, plus new materials for fiber amplifiers, modulators, optical switches, light wave devices, lasers, and high bit-rate electronics. This volume is an excellent companion to Optical Fiber Telecommunications IVB: Systems and Impairments (March 2002, ISBN: 0-12-3951739).

  • Handbook of Fiber Optic Data Communication

    • 2nd Edition
    • Casimer DeCusatis + 1 more
    • English
    The Handbook includes chapters on all the major industry standards, quick reference tables, helpful appendices, plus a new glossary and list of acronyms. This practical handbook can stand alone or as a companion volume to DeCusatis: Fiber Optic Data Communication: Technological Advances and Trends (February 2002, ISBN: 0-12-207892-6), which was developed in tandem with this book.

  • Mathematical Methods for Physicists

    • 5th Edition
    • George B. Arfken + 1 more
    • English
    Through four editions, Arfken and Weber's best-selling Mathematical Methods for Physicists has provided upper-level undergraduate and graduate students with the paramount coverage of the mathematics necessary for advanced study in physics and engineering. It provides the essential mathematical methods that aspiring physicists are likely to encounter as students or beginning researchers. Appropriate for a physics service course, as well as for more advanced coursework, this is the book of choice in the field.

  • Elementary Differential Geometry

    • 2nd Edition
    • Barrett O'Neill
    • English
    Written primarily for readers who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Second Edition provides an introduction to the geometry of curves and surfaces. Although the popular First Edition has been extensively modified, this Second Edition maintains the elementary character of that volume, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis has been placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. For readers with access to the symbolic computation programs, Mathematica or Maple, the book includes approximately 30 optional computer exercises. These are not intended as an essential part of the book, but rather an extension. No computer skill is necessary to take full advantage of this comprehensive text.

  • A Physicist's Guide to Mathematica

    • 1st Edition
    • Patrick T. Tam
    • English
    A Physicists Guide to Mathematica(r) teaches students and professional physicists how to master Mathematica using examples and approaches that will appeal to them. The book illustrates the usefulness of Mathematica in learning, teaching, and carrying out research in physics. Part One gives a practical, physics-oriented, and self-contained introduction to the program. Part Two covers the application of Mathematica to mechanics, electricityand magnetism, and quantum physics.Mathematica enables the user to solve a wide range of physics problems, from the most important to those that are just for fun, and provides an environment that allows the user to develop a greater intuitive understanding of physics. This book aids the reader in using Mathematica for numerical, symbolic, and graphical calculations, and also demonstrates the programs capability to animate two- and three-dimensional graphics. Tams treatment of the subject is greatly detailed, and makes this book an essential reference for anyone needing an introduction to Mathematicas application to physics.This book teaches upper-division and graduate physics students as well as professional physicists how to master Mathematic(r), using examples and approaches that are motivating to them. It also shows that this computer algebra system can be a powerful and wonderful tool for learning, teaching, and doing physics. Part I gives a practical, physics-oriented, and self-contained introduction to Mathematica. Part II considers the application of Mathematica to mechanics, electricity and magnetism, and quantum physics.

  • Symmetries in Quantum Physics

    • 1st Edition
    • U. Fano + 1 more
    • English
    This text focuses on the physics of symmetries, developing symmetries and transformations through concrete physical examples and contexts rather than presenting the information axiomatically, mathematically, and abstractly. Readers are introduced gradually to advanced mathematical procedures, including the Wigner and Racah algebras and their applications to various symmetry groups. The book also includes some of the latest research on the use of non-invariance and non-compact groups in the consideration of relativistic and many-particle problems of atoms and nuclei.This book is an updated replacement for the text Irreducible Tensorial Sets (Academic Press, 1959). Parts A and B of the present book grew out of occasional lectures in the intervening decades at the University of Chicago, where it became neccessary to update or elaborate upon certain points. Part C has been built more recently to deal with innovations and new information in the field of mathematical physics. The book as a whole develops the subject of symmetry from a physical point of view, allowing students and researchers to gain new insight on their subject. This book can be used both as a text and as a reference by students and scientists in the field.

  • Analysis, Manifolds and Physics Revised Edition

    • 2nd Edition
    • Volume I
    • Yvonne Choquet-Bruhat + 1 more
    • English
    This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ``Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.

  • Diffraction Gratings

    • 1st Edition
    • Volume 6
    • M.C. Hutley
    • English

  • Statistical Physics

    Volume 5
    • 3rd Edition
    • L D Landau + 1 more
    • English
    A lucid presentation of statistical physics and thermodynamics which develops from the general principles to give a large number of applications of the theory.

  • Statistical Physics

    Theory of the Condensed State
    • 1st Edition
    • E.M. Lifshitz + 1 more
    • English
    The second part of 'Statistical Physics' deals with the quantum theory of the condensed state of matter. This volume is essentially an entirely new book, based on the large amount of new material which has become available in statistical physics since' Part 1' was published.