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The differential equations of mathematical physics have a twofold character: their physical content and their mathematical solutions. This book discusses the basic tools of theoretical physicists, applied mathematicians, and engineers, providing detailed insights into linear algebra, Fourier transforms, special functions, Laplace and Poisson, diffusion and vector equations. These basic tools are a set of methods and techniques, known as the equations of mathematical physics. At first sight, they look like a collection of disparate things. Many students in theoretical physics perceive them as strange, autonomous, inflexible, and ultimately unknown objects, whose sole use resides in their being applied to solving usually standard physical problems.

Mathematical physics --- Differential equations --- Science --- Mathematics

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This book explores statistical physics, with an emphasis on the distinct character of the statistical motion and difficult subjects, related, mainly, to condensed matter. It discusses the interaction problem in real gases, as well as dimensionality effects and melting. The book shows how to estimate easily the critical temperature of the Ising ferromagnets, the origin of the drag force, how to get an inverse-wind vortex in turbulence, the entropy of the earthquakes, and how the gas-liquid transition occurs. It also describes the hadronization of the quark-gluon plasma, the phase diagram of the quantum chromodynamics, and the thermodynamics of black holes.

Statistical physics. --- Condensed matter physics (liquid state & solid state physics)

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This is a research book centered on quantum-mechanical scattering in macroscopic targets, which may lead to coherent scattering on a macroscopic scale. Specific conditions for the occurrence of coherent scattering are formulated. X- and gamma rays, neutron and neutrino scattering, and electron scattering are examined, as well as light scattering and the Moessbauer effect. Coherence domains are introduced, and their role in scattering is explored. The momentum and energy transfer to the target, as well as the force acting upon the target are emphasized, for both atomic and macroscopic targets. The book addresses a wide readership of researchers, in both experimental and theoretical physics, with an interest in a new area of research in particle scattering by macroscopic targets.

Condensed matter. --- Neutrons --- Diffusion. --- Mössbauer effect. --- X-rays --- Light --- Electrons --- Matière condensée. --- Diffusion (physique) --- Mössbauer, Effet. --- Lumière --- Rayons X --- Électrons --- Scattering. --- Diffraction.