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This volume deals with the properties of gases, the thermodynamics of a degenerate plasma, liquid crystals, the fluctuation theory of phase transitions, and critical phenomena. Other chapters discuss the topics of solids, symmetry of crystals, and the theory of rreducible representations of space groups as applied to physics of the crystal state. This volume also explores the fluctuation-dissipation theorem; the Fermi and Bose distributions; non-ideal gases; phase equilibrium; and solutions.

This book is of great value to theoretical physicists, researchers, and students.

Subjects include the electrostatic field in vacuum; boundary conditions and relation of microscopic to macroscopic fields; general methods for the solution of potential problems, including those of two and three dimensions; energy relations and forces in the electrostatic field; steady currents and their interaction; magnet materials and boundary value problems; and Maxwell’s equations. Additional topics include energy, force, and momentum relations in the electromagnetic field; the wave equation and plane waves; conducting fluids in a magnetic field; waves in the presence of metallic boundaries; the inhomogeneous wave equation; the experimental basis for the theory of special relativity; relativistic kinematics and the Lorentz transformation; covariance and relativistic mechanics; covariant formulation of electrodynamics; and the Liénard-Wiechert potentials and the field of a uniformly moving electron.

The text concludes with examinations of radiation from an accelerated charge; radiation reaction and covariant formulation of the conservation laws of electrodynamics; radiation, scattering, and dispersion; the motion of charged particles in electromagnetic fields; and Hamiltonian formulation of Maxwell’s equations.

The book first offers information on the theory of relativity and the theory of relativity in tensor form. Discussions focus on comparison of distances and lengths in moving reference frames; comparison of time differences in moving reference frames; position of a body in space at a given instant in a fixed reference frame; and proof of the linearity of the transformation linking two inertial frames. The text then ponders on general tensor analysis, including permissible transformations for space and time coordinates, parallel transport of a vector, covariant differentiation, and basic properties of the curvature tensor.

The publication examines the formulation of relativity theory in arbitrary coordinates and principles of the theory of gravitation. Topics include equations of mathematical physics in arbitrary coordinates; integral form of the conservation laws in arbitrary coordinates; variational principle and the energy tensor; and comparison with the statement of the problem in Newtonian theory.

The manuscript is a dependable reference for readers interested in the theory of space, time, and gravitation.

Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields.

The publication first offers information on notation and gravitational interaction and the general theory of motion. Discussions focus on the notation of the general relativity theory, field values on the world-lines, general statement of the physical problem, Newton's theory of gravitation, and forms for the equation of motion of the second kind.

The text then takes a look at the approximation method and the equations of motion and motion and the Newtonian and post-Newtonian approximation. Topics include general remarks on the approximation method, two forms of the equations of motion and integrability conditions, approximation method and coordinate system, and development of the metric field.

The manuscript examines the variational principle and the equations of motion of the third kind and the one and two particle problems. The formulation of the problem, Lagrangian up the sixth order, motion of a test particle in the field of a heavy particle, two-body problem, and motion of rotating bodies are discussed.

The text is a dependable reference for readers interested in the methodologies, solutions, and approaches involved in the study of motion and relativity.

In 1954, a conference on mathematical tables, sponsored by M.I.T. and the National Science Foundation, met to discuss a modernization and extension of Jahnke and Emde's classical tables of functions. This volume, published 10 years later by the U.S. Department of Commerce, is the result. Designed to include a maximum of information and to meet the needs of scientists in all fields, it is a monumental piece of work, a comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems.

The book contains 29 sets of tables, some to as high as 20 places: mathematical constants; physical constants and conversion factors (6 tables); exponential integral and related functions (7); error function and Fresnel integrals (12); Bessel functions of integer (12) and fractional (13) order; integrals of Bessel functions (2); Struve and related functions (2); confluent hypergeometric functions (2); Coulomb wave functions (2); hypergeometric functions; Jacobian elliptic and theta functions (2); elliptic integrals {9); Weierstrass elliptic and related functions; parabolic cylinder functions {3); Mathieu functions (2); spheroidal wave functions (5); orthogonal polynomials (13); combinatorial analysis (9); numerical interpolation, differentiation and integration (11); probability functions (ll); scales of notation (6); miscellaneous functions (9); Laplace transforms (2); and others.

Each of these sections is prefaced by a list of related formulas and graphs: differential equations, series expansions, special functions, and other basic relations. These constitute an unusually valuable reference work in themselves. The prefatory material also includes an explanation of the numerical methods involved in using the tables that follow and a bibliography. Numerical examples illustrate the use of each table and explain the computation of function values which lie outside its range, while the editors' introduction describes higher-order interpolation procedures. Well over100 figures illustrate the text.

In all, this is one of the most ambitious and useful books of its type ever published, an essential aid in all scientific and engineering research, problem solving, experimentation and field work. This low-cost edition contains every page of the original government publication.

Timeless and collectible, the lectures are essential reading, not just for students of physics but for anyone seeking an introduction to the field from the inimitable Feynman.

New to this edition:

Improved modular chaptersNew up-to-date examplesMore intuitive explanations This book arms readers with the tools to apply key physics concepts in the field.

S. R. de Groot and P. Mazur, Professors of Theoretical Physics, present a comprehensive and insightful survey of the foundations of the field, providing the only complete discussion of the fluctuating linear theory of irreversible thermodynamics. The application covers a wide range of topics: the theory of diffusion and heat conduction, fluid dynamics, relaxation phenomena, acoustical relaxation, and the behavior of systems in an electromagnetic field.

The statistical foundations of non-equilibrium thermodynamics are treated in detail, and there are special sections on fluctuation theory, the theory of stochastic processes, the kinetic theory of gases, and the derivation of the Onsager reciprocal relations. The implications of causality conditions and of dispersion relations are analyzed in depth.

Advanced students will find a great number of challenging problems, with hints for their solutions. Chemists will be especially interested in the applications to electrochemistry and the theory of chemical reactions. Physicists, teachers, scholars, biologists, and anyone interested in the principle and modern applications of non-equilibrium thermodynamics will find this classic monograph an invaluable reference.

The book provides a discussion on the phenomenon in fluid mechanics and their intercorrelations, such as heat transfer, diffusion in fluids, acoustics, theory of combustion, dynamics of superfluids, and relativistic fluid dynamics.

The text will be of great interest to researchers whose work involves or concerns fluid mechanics.

Comprised of 16 chapters, this volume begins with an overview of non-relativistic quantum theory and the basic concepts of quantum mechanics such as the principles of uncertainty and superposition, operators, and the density matrix. Subsequent chapters deal with conservation laws in quantum mechanics; Schrödinger's equation and general properties of its solutions; perturbations independent of time and dependent on time; spin and the spin operator; and the principle of indistinguishability of similar particles. The atom and its electron states are also examined, together with diatomic molecules; elastic and inelastic collisions; photons and electrons; Dirac's equation; and particles and antiparticles. The final chapter is devoted to Feynman diagrams, paying particular attention to the scattering matrix, radiative corrections, and radiative shift of atomic levels.

This book will be of interest to physicists.