A General Theory Of Entropy

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A General Theory of Entropy

Author : Kofi Kissi Dompere
Publisher : Springer
ISBN 13 : 3030181596
Total Pages : 247 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis A General Theory of Entropy by : Kofi Kissi Dompere

Download or read book A General Theory of Entropy written by Kofi Kissi Dompere and published by Springer. This book was released on 2019-08-02 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an epistemic framework for dealing with information-knowledge and certainty-uncertainty problems within the space of quality-quantity dualities. It bridges between theoretical concepts of entropy and entropy measurements, proposing the concept and measurement of fuzzy-stochastic entropy that is applicable to all areas of knowing under human cognitive limitations over the epistemological space. The book builds on two previous monographs by the same author concerning theories of info-statics and info-dynamics, to deal with identification and transformation problems respectively. The theoretical framework is developed by using the toolboxes such as those of the principle of opposites, systems of actual-potential polarities and negative-positive dualities, under different cost-benefit time-structures. The category theory and the fuzzy paradigm of thought, under methodological constructionism-reductionism duality, are used in the fuzzy-stochastic and cost-benefit spaces to point to directions of global application in knowing, knowledge and decision-choice actions. Thus, the book is concerned with a general theory of entropy, showing how the fuzzy paradigm of thought is developed to deal with the problems of qualitative-quantitative uncertainties over the fuzzy-stochastic space, which will be applicable to conditions of soft-hard data, fact, evidence and knowledge over the spaces of problem-solution dualities, decision-choice actions in sciences, non-sciences, engineering and planning sciences to abstract acceptable information-knowledge elements.

Social Entropy Theory

Author : Kenneth D. Bailey
Publisher : SUNY Press
ISBN 13 : 9780791400562
Total Pages : 336 pages
Book Rating : 4.4/5 (5 download)

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Book Synopsis Social Entropy Theory by : Kenneth D. Bailey

Download or read book Social Entropy Theory written by Kenneth D. Bailey and published by SUNY Press. This book was released on 1990-01-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Social Entropy Theory illuminates the fundamental problems of societal analysis with a nonequilibrium approach, a new frame of reference built upon contemporary macrological principles, including general systems theory and information theory. Social entropy theory, using Shannon's H and the entropy concept, avoids the common (and often artificial) separation of theory and method in sociology. The hallmark of the volume is integration, as seen in the author's interdisciplinary discussions of equilibrium, entropy, and homeostasis. Unique features of the book are the introduction of the three-level model of social measurement, the theory of allocation, the concepts of global-mutable-immutable, discussion of order and power, and a large set of testable hypotheses.

Entropy and Information Theory

Author : Robert M. Gray
Publisher : Springer Science & Business Media
ISBN 13 : 1475739826
Total Pages : 346 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Entropy and Information Theory by : Robert M. Gray

Download or read book Entropy and Information Theory written by Robert M. Gray and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels. The eventual goal is a general development of Shannon's mathematical theory of communication, but much of the space is devoted to the tools and methods required to prove the Shannon coding theorems. These tools form an area common to ergodic theory and information theory and comprise several quantitative notions of the information in random variables, random processes, and dynamical systems. Examples are entropy, mutual information, conditional entropy, conditional information, and discrimination or relative entropy, along with the limiting normalized versions of these quantities such as entropy rate and information rate. Much of the book is concerned with their properties, especially the long term asymptotic behavior of sample information and expected information. This is the only up-to-date treatment of traditional information theory emphasizing ergodic theory.

Non-equilibrium Thermodynamics and Statistical Mechanics

Author : Phil Attard
Publisher : Oxford University Press
ISBN 13 : 0199662762
Total Pages : 479 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Non-equilibrium Thermodynamics and Statistical Mechanics by : Phil Attard

Download or read book Non-equilibrium Thermodynamics and Statistical Mechanics written by Phil Attard and published by Oxford University Press. This book was released on 2012-10-04 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title builds from basic principles to advanced techniques, and covers the major phenomena, methods, and results of time-dependent systems. It is a pedagogic introduction, a comprehensive reference manual, and an original research monograph--

Entropy

Author : Andreas Greven
Publisher : Princeton University Press
ISBN 13 : 1400865220
Total Pages : 376 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Entropy by : Andreas Greven

Download or read book Entropy written by Andreas Greven and published by Princeton University Press. This book was released on 2014-09-08 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding.

Order and Time

Author : Ronald Christensen
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Order and Time by : Ronald Christensen

Download or read book Order and Time written by Ronald Christensen and published by . This book was released on 1984 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discover Entropy and the Second Law of Thermodynamics

Author :
Publisher :
ISBN 13 : 9814465267
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Discover Entropy and the Second Law of Thermodynamics by :

Download or read book Discover Entropy and the Second Law of Thermodynamics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A General Theory of Fluid Mechanics

Author : Peiqing Liu
Publisher : Springer Nature
ISBN 13 : 9813366605
Total Pages : 659 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis A General Theory of Fluid Mechanics by : Peiqing Liu

Download or read book A General Theory of Fluid Mechanics written by Peiqing Liu and published by Springer Nature. This book was released on 2021-04-01 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a general introduction to fluid mechanics in the form of biographies and popular science. Based on the author’s extensive teaching experience, it combines natural science and human history, knowledge inheritance and cognition law to replace abstract concepts of fluid mechanics with intuitive and understandable physical concepts. In seven chapters, it describes the development of fluid mechanics, aerodynamics, hydrodynamics, computational fluid dynamics, experimental fluid dynamics, wind tunnel and water tunnel equipment, the mystery of flight and aerodynamic principles, and leading figures in fluid mechanics in order to spark beginners’ interest and allow them to gain a comprehensive understanding of the field’s development. It also provides a list of references for further study.

Mathematical Theory of Entropy

Author : Nathaniel F. G. Martin
Publisher : Cambridge University Press
ISBN 13 : 9780521177382
Total Pages : 292 pages
Book Rating : 4.1/5 (773 download)

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Book Synopsis Mathematical Theory of Entropy by : Nathaniel F. G. Martin

Download or read book Mathematical Theory of Entropy written by Nathaniel F. G. Martin and published by Cambridge University Press. This book was released on 2011-06-02 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent 1981 treatment of the mathematical theory of entropy gives an accessible exposition its application to other fields.

New Foundations for Information Theory

Author : David Ellerman
Publisher : Springer Nature
ISBN 13 : 3030865525
Total Pages : 121 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis New Foundations for Information Theory by : David Ellerman

Download or read book New Foundations for Information Theory written by David Ellerman and published by Springer Nature. This book was released on 2021-10-30 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a new foundation for information theory that is based on the notion of information-as-distinctions, being directly measured by logical entropy, and on the re-quantification as Shannon entropy, which is the fundamental concept for the theory of coding and communications. Information is based on distinctions, differences, distinguishability, and diversity. Information sets are defined that express the distinctions made by a partition, e.g., the inverse-image of a random variable so they represent the pre-probability notion of information. Then logical entropy is a probability measure on the information sets, the probability that on two independent trials, a distinction or “dit” of the partition will be obtained. The formula for logical entropy is a new derivation of an old formula that goes back to the early twentieth century and has been re-derived many times in different contexts. As a probability measure, all the compound notions of joint, conditional, and mutual logical entropy are immediate. The Shannon entropy (which is not defined as a measure in the sense of measure theory) and its compound notions are then derived from a non-linear dit-to-bit transform that re-quantifies the distinctions of a random variable in terms of bits—so the Shannon entropy is the average number of binary distinctions or bits necessary to make all the distinctions of the random variable. And, using a linearization method, all the set concepts in this logical information theory naturally extend to vector spaces in general—and to Hilbert spaces in particular—for quantum logical information theory which provides the natural measure of the distinctions made in quantum measurement. Relatively short but dense in content, this work can be a reference to researchers and graduate students doing investigations in information theory, maximum entropy methods in physics, engineering, and statistics, and to all those with a special interest in a new approach to quantum information theory.

The General Theory of Thermodynamics

Author : Joseph Ellis Trevor
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The General Theory of Thermodynamics by : Joseph Ellis Trevor

Download or read book The General Theory of Thermodynamics written by Joseph Ellis Trevor and published by . This book was released on 1927 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Entropy of Capitalism

Author : Robert Biel
Publisher : BRILL
ISBN 13 : 9004204296
Total Pages : 401 pages
Book Rating : 4.0/5 (42 download)

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Book Synopsis The Entropy of Capitalism by : Robert Biel

Download or read book The Entropy of Capitalism written by Robert Biel and published by BRILL. This book was released on 2011-10-14 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the context of the ecological crisis of the twenty-first century, the book integrates Marxism and systems theory to reveal finance capital and the ‘war on terror’ as complementary responses of a capitalism reduced to parasitising upon symptoms of chaos.

Entropy and Information

Author : Mikhail V. Volkenstein
Publisher : Springer Science & Business Media
ISBN 13 : 303460078X
Total Pages : 210 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Entropy and Information by : Mikhail V. Volkenstein

Download or read book Entropy and Information written by Mikhail V. Volkenstein and published by Springer Science & Business Media. This book was released on 2009-10-27 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is just...entropy, he said, thinking that this explained everything, and he repeated the strange word a few times. 1 ? Karel Capek , “Krakatit” This “strange word” denotes one of the most basic quantities of the physics of heat phenomena, that is, of thermodynamics. Although the concept of entropy did indeed originate in thermodynamics, it later became clear that it was a more universal concept, of fundamental signi?cance for chemistry and biology, as well as physics. Although the concept of energy is usually considered more important and easier to grasp, it turns out, as we shall see, that the idea of entropy is just as substantial—and moreover not all that complicated. We can compute or measure the quantity of energy contained in this sheet of paper, and the same is true of its entropy. Furthermore, entropy has remarkable properties. Our galaxy, the solar system, and the biosphere all take their being from entropy, as a result of its transferenceto the surrounding medium. Thereis a surprisingconnectionbetween entropyandinformation,thatis,thetotalintelligencecommunicatedbyamessage. All of this is expounded in the present book, thereby conveying informationto the readeranddecreasinghis entropy;butitis uptothe readertodecidehowvaluable this information might be.

Entropy and Diversity

Author : Tom Leinster
Publisher : Cambridge University Press
ISBN 13 : 1108832709
Total Pages : 457 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Entropy and Diversity by : Tom Leinster

Download or read book Entropy and Diversity written by Tom Leinster and published by Cambridge University Press. This book was released on 2021-04-22 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the mathematical riches of 'what is diversity?' in a book that adds mathematical rigour to a vital ecological debate.

Entropy and Art

Author : Rudolf Arnheim
Publisher : Univ of California Press
ISBN 13 : 0520266005
Total Pages : 80 pages
Book Rating : 4.5/5 (22 download)

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Book Synopsis Entropy and Art by : Rudolf Arnheim

Download or read book Entropy and Art written by Rudolf Arnheim and published by Univ of California Press. This book was released on 2010-08-02 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This essay is an attempt to reconcile the disturbing contradiction between the striving for order in nature and in man and the principle of entropy implicit in the second law of thermodynamics - between the tendency toward greater organization and the general trend of the material universe toward death and disorder.

A Farewell to Entropy

Author :
Publisher :
ISBN 13 : 9814338281
Total Pages : pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis A Farewell to Entropy by :

Download or read book A Farewell to Entropy written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods, Models, Simulations and Approaches Towards a General Theory of Change

Author : Gianfranco Minati
Publisher : World Scientific
ISBN 13 : 9814452963
Total Pages : 724 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Methods, Models, Simulations and Approaches Towards a General Theory of Change by : Gianfranco Minati

Download or read book Methods, Models, Simulations and Approaches Towards a General Theory of Change written by Gianfranco Minati and published by World Scientific. This book was released on 2012-03-27 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains the Proceedings of the 2010 Conference of the Italian Systems Society. Papers deal with the interdisciplinary study of processes of changing related to a wide variety of specific disciplinary aspects. Classical attempts to deal with them, based on generalising approaches used to study the movement of bodies and environmental influence, have included ineffective reductionistic simplifications. Indeed changing also relates, for instance, to processes of acquisition and varying properties such as for software; growing and aging biological systems; learning/cognitive systems; and socio-economic systems growing and developing through innovations. Some approaches to modelling such processes are based on considering changes in structure, e.g., phase-transitions. Other approaches are based on considering (1) periodic changes in structure as for processes of self-organisation; (2) non-periodic but coherent changes in structure, as for processes of emergence; (3) the quantum level of description. Papers in the book study the problem considering its transdisciplinary nature, i.e., systemic properties studied per se and not within specific disciplinary contexts. The aim of these studies is to outline a transdisciplinary theory of change in systemic properties. Such a theory should have simultaneous, corresponding and eventually hierarchical disciplinary aspects as expected for a general theory of emergence. Within this transdisciplinary context, specific disciplinary research activities and results are assumed to be mutually represented as within a philosophical and conceptual framework based on the theoretical centrality of the observer and conceptual non-separability of context and observer, related to logically open systems and Quantum Entanglement. Contributions deal with such issues in interdisciplinary ways considering theoretical aspects and applications from Physics, Cognitive Science, Biology, Artificial Intelligence, Economics, Architecture, Philosophy, Music and Social Systems. Sample Chapter(s) Approaches to the Origin of Life on Earth (178 KB) Contents:Self-Organization, Chaos, Complexity, Collective BehaviorTheories of ChangeLearning as a Process of Changing and Induction of Systems ThinkingChange in Artificial VisionProcesses of Change in Economics and Management. Theories and ApplicationsArchitecture and Design as the Design of Contexts for Inducing Processes of Change in Social SystemsTheories of Change in Cognitive ScienceChange in Social Systems Readership: Graduate students, researchers, academics in nonlinear science, modeling, simulations, and computations. Keywords:Change;Complexity;Computation;Emergence;Model;Property;Simulation;TheoryKey Features:Deals with complexity from different disciplinary problems in a unified wayPresent an interdisciplinary overview on disciplinary nonlinear issuesIntroduces updated approaches to deal with complexity