Category Archives: Entropy

Fundamentals of Thermodynamics and Applications: With Historical Annotations and Many Citations from Avogadro to Zermelo

Posted on February 26, 2009 by singleton

The book provides a systematic introduction into the fundamental ideas of thermodynamics at a somewhat advanced level. And it exhibits many applications of the theory in the fields of engineering, physics, chemistry, physical chemistry, and materials science. The universal equations … Continue reading →

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Dynamics, Information and Complexity in Quantum Systems (Theoretical and Mathematical Physics)

Posted on February 26, 2009 by singleton

The leading theme of the book is complexity in quantum dynamics. This issue is addressed by comparison with the classical ergodic, information and algorithmic complexity theories. Of particular importance is the notion of Kolmogorov-Sinai dynamical entropy and of its inequivalent … Continue reading →

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Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World

Posted on February 25, 2009 by singleton

Metaphors, generalizations and unifications are natural and desirable ingredients of the evolution of scientific theories and concepts. Physics, in particular, obviously walks along these paths since its very beginning. This book focuses on nonextensive statistical mechanics, a current generalization of … Continue reading →

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Quantum Thermodynamics: Emergence of Thermodynamic Behavior Within Composite Quantum Systems (Lecture Notes in Physics)

Posted on February 25, 2009 by singleton

This introductory text treats thermodynamics as an incomplete description of quantum systems with many degrees of freedom. Its main goal is to show that the approach to equilibrium – with equilibrium characterized by maximum ignorance about the open system of … Continue reading →

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Hydrodynamic Limits of the Boltzmann Equation (Lecture Notes in Mathematics)

Posted on February 25, 2009 by singleton

The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of … Continue reading →

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Entropy Based Design and Analysis of Fluids Engineering Systems

Posted on February 26, 2008 by singleton

From engineering fluid mechanics to power systems, information coding theory and other fields, entropy is key to maximizing performance in engineering systems. It serves a vital role in achieving the upper limits of efficiency of industrial processes and quality of … Continue reading →

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Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics (Advanced Information and Knowledge Processing)

Posted on February 25, 2008 by singleton

The maturing of the field of data mining has brought about an increased level of mathematical sophistication. Such disciplines like topology, combinatorics, partially ordered sets and their associated algebraic structures (lattices and Boolean algebras), and metric spaces are increasingly applied … Continue reading →

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Entropy and the Time Evolution of Macroscopic Systems (International Series of Monographs on Physics)

Posted on February 25, 2008 by singleton

This book is based on the premise that the entropy concept, a fundamental element of probability theory as logic, governs all of thermal physics, both equilibrium and nonequilibrium. The variational algorithm of J. Willard Gibbs, dating from the 19th Century … Continue reading →

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Entropy Demystified: The Second Law Reduced to Plain Common Sense

Posted on February 25, 2008 by singleton

In this unique book, the reader is invited to experience the joy of appreciating something which has eluded understanding for many years — entropy and the second law of thermodynamics. The book has a two-pronged message: first, that the second … Continue reading →

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Information Theory and Statistical Learning

Posted on February 25, 2008 by singleton

Information Theory and Statistical Learning presents theoretical and practical results about information theoretic methods used in the context of statistical learning. The book will present a comprehensive overview of the large range of different methods that have been developed in … Continue reading →

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