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Fluid dynamics, the behavior of liquids and gases, is a field of broad impact - in physics, engineering, oceanography, and meteorology for example - yet full understanding demands fluency in higher mathematics, the only language fluid dynamics speaks. Dr. Richard Meyer's work is indeed introductory, while written for advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences. A knowledge of calculus...
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This monograph surveys recent research on the collision and interaction of gravitational and electromagnetic waves. "This is a particularly important topic in general relativity," the author notes, "since the theory predicts that there will be a nonlinear interaction between such waves." Geared toward graduate students and researchers in general relativity, the text offers a comprehensive and unified review of the vast literature on the subject. The...
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This text advances from the basic laws of electricity and magnetism to classical electromagnetism in a quantum world. Suitable for first-year graduate students in physics who have taken an undergraduate course in electromagnetism, it focuses on core concepts and related aspects of math and physics. Progressing from the basic laws of electricity and magnetism and their unification by Maxwell and Einstein, the treatment culminates in a survey of the...
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Suitable for advanced undergraduate and graduate students of physics, this classic volume by a prominent authority in the field provides an account of some simple properties of metals and alloys associated with electron transport. Introductory chapters examine the bulk properties of electrical resistivity, the Hall coefficient, and thermoelectric power. Author J. S. Dugdale establishes a picture of the current-carrying state of a solid and the associated...
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This original 2019 work, based on the author's many years of teaching at Harvard University, examines mathematical methods of value and importance to advanced undergraduates and graduate students studying quantum mechanics. Its intended audience is students of mathematics at the senor university level and beginning graduate students in mathematics and physics.
Early chapters address such topics as the Fourier transform, the spectral theorem for bounded...
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This concise introduction to the concepts of viscoelasticity focuses on stress analysis. Three detailed individual sections present examples of stress-related problems. In addition, it explains procedures for model fitting to measured values of complex modulus or compliance. The text begins with an introduction to the concepts of viscoelasticity. Succeeding chapters explore the foundations of three-dimensional linear viscoelasticity and stress analysis....
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This book introduces college students and other readers to the uses of probability and statistics in the physical sciences, focusing on thermal and statistical physics and touching upon quantum physics. Widely praised as beautifully written and thoughtful, Reasoning About Luck explains concepts in a way that readers can understand and enjoy, even students who are not specializing in science and those outside the classroom -- only some familiarity...
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Even in the most technical sections, the authors' writing is delightfully lucid, and they give many applications to classical and modern physics . Undergraduates, and those who require some understanding of special relativity for their work in other fields, will find this elegant work a pleasure to read. - Technology This concise account of special relativity is geared toward nonspecialists and belongs in the library of anyone interested in the subject...
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Suitable for graduate students in chemical physics, statistical physics, and physical chemistry, this text develops an innovative, probabilistic approach to statistical mechanics. The treatment employs Gauss's principle and incorporates Bose-Einstein and Fermi-Dirac statistics to provide a powerful tool for the statistical analysis of physical phenomena. The treatment begins with an introductory chapter on entropy and probability that covers Boltzmann's...
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Intended for advanced undergraduates and graduate students in electrical engineering and physics, this text presents a science-oriented, mathematically complete, and unified approach to the study of field theory and electromagnetics. To facilitate a detailed development of the theoretical material, the authors reject the traditional historical "case study" approach in favor of the theory's logical development, followed by examples that illuminate...
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By the year 1900, most of physics seemed to be encompassed in the two great theories of Newtonian mechanics and Maxwell's theory of electromagnetism. Unfortunately, there were inconsistencies between the two theories that seemed irreconcilable. Although many physicists struggled with the problem, it took the genius of Einstein to see that the inconsistencies were concerned not merely with mechanics and electromagnetism, but with our most elementary...
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A thorough introduction to the study of boundary layer problems in physics and fluid mechanics, this treatment assumes some knowledge of classical inviscid fluid dynamics. The ordered and logical presentation is accessible to undergraduates, and professionals will benefit from the careful expositions of the limitations and accuracy of various methods. An extensive introduction explains the boundary-layer concept and demonstrates its simplification...
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An ideal choice for undergraduate students of science and engineering, this book presents a thorough exploration of the basic concepts of relativity. The treatment provides more than the typical coverage of introductory texts, and it offers maximum flexibility since many sections may be used independently, in altered order, or omitted altogether. Numerous problems - most with hints and answers - make this volume ideal for supplementary reading and...
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Informative review considers the development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include the computation and application of matrix elements of scalar, vector, and tensor operators for deriving useful relations in the theory of magnetic moments, electric quadruple moments, and dipole transition probabilities.
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This classic of modern physics includes a vast array of approximation methods, mathematical tricks, and physical pictures that are also useful in the application of quantum mechanics to other fields. Students and professionals will find it an essential reference for calculations pertaining to hydrogen-like and helium-like atoms and their comparison with experimental results. In-depth explorations of the Dirac theory of the electron and of radiative...
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An understanding of fluctuations and their role is both useful and fundamental to the study of physics. This concise study of random processes offers graduate students and research physicists a survey that encompasses both the relationship of Brownian Movement with statistical mechanics and the problem of irreversible processes. It outlines the basics of the physics involved, without the strictures of mathematical rigor. The three-part treatment starts...
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Concerned strictly with the principles and formalism of quantum mechanics, this graduate student-oriented volume develops the subject as a fundamental discipline. Opening chapters review the origins of Schrödinger's equations and the nature of the solutions in certain simple and well-known cases, advancing to the ideas associated with vector spaces. Having provided students with the appropriate mathematical language, the author proceeds to the formulation...
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"Strongly recommended" by the American Journal of Physics, this volume serves as a text for advanced undergraduates and graduate students of physics as well as a reference for professionals. Clear in its presentation and scrupulous in its attention to detail, the treatment originally appeared in a two-volume French edition. This convenient single-volume translation begins with formalism and its interpretation, starting with the origins of quantum...
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More than a chance to gain new insights into physics, this book offers students the opportunity to look at what they already know about the subject in an improved way. Geared toward upper-level undergraduates and graduate students, this self-contained first course in quantum mechanics consists of two parts: the first covers basic theory, and the second part presents selected applications. Numerous problems of varying difficulty examine not only the...
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This book develops in detail the statistical foundations of nonequilibrium thermodynamics, based on the mathematical theory of Brownian motion. Author Bernard H. Lavenda demonstrates that thermodynamic criteria emerge in the limit of small thermal fluctuations and in the Gaussian limit where means and modes of the distribution coincide. His treatment assumes the theory of Brownian motion to be a general and practical model of irreversible processes...
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