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Books in Nonlinear statistical and mathematical physics general

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    • 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.

    • 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.

    • 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.