The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorification is a powerful…
Energy, Complexity and Wealth Maximization
This book is about the mechanisms of wealth creation, or what we like to think of as evolutionary "progress". For the modern economy, natural wealth consists of complex physical structures of condensed ("frozen") energy -- mass - maintained in the earth's crust far from thermody…
Quantum correlations are not restricted to the well known entanglement investigated in Bell-type experiments. Other forms of correlations, for example quantum discord, have recently been shown to play an important role in several aspects of quantum information theory. First expe…
"Quantum correlations are not restricted to the well known entanglement investigated in Bell-type experiments. Other forms of correlations, for example quantum discord, have recently been shown to play an important role in several aspects of quantum information theory. First exp…
This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, wh…
This textbook is a comprehensive introduction to variational methods. Its unifying aspect, based on appropriate concepts of compactness, is the study of critical points of functionals via direct methods. It shows the interactions between linear and nonlinear functional analysis.…
This book describes a promising approach to problems in the foundations of quantum mechanics, including the measurement problem. The dynamics of ensembles on configuration space is shown here to be a valuable tool for unifying the formalisms of classical and quantum mechanics, f…
College Physics is the first text to use an investigative learning approach to teach introductory physics. This approach encourages you to take an active role in learning physics, to practice scientific skills such as observing, analyzing, and testing, and to build scientific ha…
This book explains, in simple terms, with a minimum of mathematics, why things can appear to be in two places at the same time, why correlations between simultaneous events occurring far apart cannot be explained by local mechanisms, and why, nevertheless, the quantum theory can…
This is not a Festschrift in honor of David Bohm or a collection of papers simply stating uncritically a particular interpretation of quantum mechanics. Rather, it is a contribution to the serious and ongoing critical analysis, extension and application of the central ideas of D…
Physical bodies can be hot or cold, moving or standing, simple or complex. In all such cases one assumes that their respective temperature is a well defined attribute. What if, however, the ordinary measurement of temperature by direct body contact is not possible? One conjectur…