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Extensively revised edition of a much-respected work examines thermodynamics of irreversible processes, general principles of statistical thermodynamics, assemblies of noninteracting structureless particles, and statistical theory. 1966 edition.
Intended for first-year graduate courses in heat transfer, including topics relevant to aerospace engineering and chemical and nuclear engineering, this hardcover book deals systematically and comprehensively with modern mathematical methods of solving problems in heat conduction and diffusion. Includes illustrative examples and problems, plus helpful appendixes. 134 illustrations. 1968 edition.
A seminal work by one of the founders of the science of operations research, this text for upper-level undergraduates and graduate students examines general queuing problems, discusses the effect of changes of arrival and service distributions on queuing results, and describes the application of queuing theory to maintenance and inventory problems.
This 1546 publication remains a landmark in geology, with unprecedented classifications by physical property and locality, simple standardized naming system, summaries of earlier studies, and employment of observation and personal experience.
ABSTRACT: Analysis is given of the Omega Point cosmology, an extensively peer-reviewed proof (i.e., mathematical theorem) published in leading physics journals by professor of physics and mathematics Frank J. Tipler, which demonstrates that in order for the known laws of physics to be mutually consistent, the universe must diverge to infinite computational power as it collapses into a final cosmological singularity, termed the Omega Point. The theorem is an intrinsic component of the Feynman–DeWitt–Weinberg quantum gravity/Standard Model Theory of Everything (TOE) describing and unifying all the forces in physics, of which itself is also required by the known physical laws. With infinite computational resources, the dead can be resurrected—never to die again—via perfect computer emulation of the multiverse from its start at the Big Bang. Miracles are also physically allowed via electroweak quantum tunneling controlled by the Omega Point cosmological singularity. The Omega Point is a different aspect of the Big Bang cosmological singularity—the first cause—and the Omega Point has all the haecceities claimed for God in the traditional religions. From this analysis, conclusions are drawn regarding the social, ethical, economic and political implications of the Omega Point cosmology.
Created especially for graduate students by a leading writer on mathematics, this introduction to the geometry of curves and surfaces concentrates on problems that students will find most helpful.
Originally published in 1921, this mathematical work represents a significant contribution to the logical probability of propositions. Keynes effectively dismantled the classical theory, launching the "logical-relationist" theory of probability.
Elementary transformations and bilinear and quadratic forms; canonical reduction of equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical forms. 1952 edition. 275 problems.
Originally written as part of his Principia Mathematica, Newton integrated Kepler's laws of planetary motion and Galileo's forays into the laws of gravity into a comprehensive understanding of the organization of the universe according to the law of universal gravitation. Includes an Introduction by one of the world's foremost authorities on Newton.