The Resource Entropy, Andreas Greven, Gerhard Keller, Gerald Warnecke, editors
Entropy, Andreas Greven, Gerhard Keller, Gerald Warnecke, editors
Resource Information
The item Entropy, Andreas Greven, Gerhard Keller, Gerald Warnecke, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Entropy, Andreas Greven, Gerhard Keller, Gerald Warnecke, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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. Indepth 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
 Language
 eng
 Extent
 1 online resource (375 pages)
 Contents

 Chapter Three. Probabilistic Aspects of Entropy
 Georgii, HansOtto
 Chapter Four. Phenomenological Thermodynamics and Entropy Principles
 Hutter, Kolumban ; Wang, Yongqi
 Chapter Five. Entropy in Nonequilibrium
 Müller, Ingo
 Chapter Six. Entropy for Hyperbolic Conservation Laws
 Dafermos, C.M.
 Chapter Seven. Irreversibility and the Second Law of Thermodynamics
 Uffink, Jos
 Frontmatter
 Chapter Eight. The Entropy of Classical Thermodynamics
 Lieb, Elliott H. ; Yngvason, Jakob
 Chapter Nine. Large Deviations and Entropy
 Varadhan, S.R.S.
 Chapter Ten. Relative Entropy for Random Motion in a Random Medium
 Hollander, F. den
 Chapter Eleven. Metastability and Entropy
 Olivieri, E.
 Chapter Twelve. Entropy Production in Driven Spatially Extended Systems
 Maes, Christian
 Contents
 Chapter Thirteen. Entropy: a Dialogue
 Chapter Fourteen. Classical and Quantum Entropies: Dynamics and Information
 Benatti, Fabio
 Chapter Fifteen. Complexity and Information in Data
 Rissanen, J.
 Chapter Sixteen. Entropy in Dynamical Systems
 Chapter Seventeen. Entropy in Ergodic Theory
 Combined References
 Index
 Preface
 List of Contributors
 Chapter One. Introduction
 Greven, Andreas ; Keller, Gerhard ; Warnecke, Gerald
 Chapter Two. Entropy: a Subtle Concept in Thermodynamics
 Müller, Ingo
 Isbn
 9781400865222
 Label
 Entropy
 Title
 Entropy
 Statement of responsibility
 Andreas Greven, Gerhard Keller, Gerald Warnecke, editors
 Language
 eng
 Summary
 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. Indepth 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
 Cataloging source
 E7B
 Dewey number
 536/.73
 Index
 index present
 Language note
 In English
 LC call number
 QC318.E57
 LC item number
 .E55 2003eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate

 1953
 1954
 1956
 http://library.link/vocab/relatedWorkOrContributorName

 Greven, Andreas
 Keller, Gerhard
 Warnecke, Gerald
 Series statement
 Princeton Series in Applied Mathematics
 http://library.link/vocab/subjectName

 Entropy
 SCIENCE
 MATHEMATICS
 Entropy
 Label
 Entropy, Andreas Greven, Gerhard Keller, Gerald Warnecke, editors
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Chapter Three. Probabilistic Aspects of Entropy
 Georgii, HansOtto
 Chapter Four. Phenomenological Thermodynamics and Entropy Principles
 Hutter, Kolumban ; Wang, Yongqi
 Chapter Five. Entropy in Nonequilibrium
 Müller, Ingo
 Chapter Six. Entropy for Hyperbolic Conservation Laws
 Dafermos, C.M.
 Chapter Seven. Irreversibility and the Second Law of Thermodynamics
 Uffink, Jos
 Frontmatter
 Chapter Eight. The Entropy of Classical Thermodynamics
 Lieb, Elliott H. ; Yngvason, Jakob
 Chapter Nine. Large Deviations and Entropy
 Varadhan, S.R.S.
 Chapter Ten. Relative Entropy for Random Motion in a Random Medium
 Hollander, F. den
 Chapter Eleven. Metastability and Entropy
 Olivieri, E.
 Chapter Twelve. Entropy Production in Driven Spatially Extended Systems
 Maes, Christian
 Contents
 Chapter Thirteen. Entropy: a Dialogue
 Chapter Fourteen. Classical and Quantum Entropies: Dynamics and Information
 Benatti, Fabio
 Chapter Fifteen. Complexity and Information in Data
 Rissanen, J.
 Chapter Sixteen. Entropy in Dynamical Systems
 Chapter Seventeen. Entropy in Ergodic Theory
 Combined References
 Index
 Preface
 List of Contributors
 Chapter One. Introduction
 Greven, Andreas ; Keller, Gerhard ; Warnecke, Gerald
 Chapter Two. Entropy: a Subtle Concept in Thermodynamics
 Müller, Ingo
 Control code
 891400524
 Dimensions
 unknown
 Extent
 1 online resource (375 pages)
 Form of item
 online
 Isbn
 9781400865222
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1515/9781400865222
 http://library.link/vocab/ext/overdrive/overdriveId
 22573/ctv3f9cn1
 Specific material designation
 remote
 System control number
 (OCoLC)891400524
 Label
 Entropy, Andreas Greven, Gerhard Keller, Gerald Warnecke, editors
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Chapter Three. Probabilistic Aspects of Entropy
 Georgii, HansOtto
 Chapter Four. Phenomenological Thermodynamics and Entropy Principles
 Hutter, Kolumban ; Wang, Yongqi
 Chapter Five. Entropy in Nonequilibrium
 Müller, Ingo
 Chapter Six. Entropy for Hyperbolic Conservation Laws
 Dafermos, C.M.
 Chapter Seven. Irreversibility and the Second Law of Thermodynamics
 Uffink, Jos
 Frontmatter
 Chapter Eight. The Entropy of Classical Thermodynamics
 Lieb, Elliott H. ; Yngvason, Jakob
 Chapter Nine. Large Deviations and Entropy
 Varadhan, S.R.S.
 Chapter Ten. Relative Entropy for Random Motion in a Random Medium
 Hollander, F. den
 Chapter Eleven. Metastability and Entropy
 Olivieri, E.
 Chapter Twelve. Entropy Production in Driven Spatially Extended Systems
 Maes, Christian
 Contents
 Chapter Thirteen. Entropy: a Dialogue
 Chapter Fourteen. Classical and Quantum Entropies: Dynamics and Information
 Benatti, Fabio
 Chapter Fifteen. Complexity and Information in Data
 Rissanen, J.
 Chapter Sixteen. Entropy in Dynamical Systems
 Chapter Seventeen. Entropy in Ergodic Theory
 Combined References
 Index
 Preface
 List of Contributors
 Chapter One. Introduction
 Greven, Andreas ; Keller, Gerhard ; Warnecke, Gerald
 Chapter Two. Entropy: a Subtle Concept in Thermodynamics
 Müller, Ingo
 Control code
 891400524
 Dimensions
 unknown
 Extent
 1 online resource (375 pages)
 Form of item
 online
 Isbn
 9781400865222
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1515/9781400865222
 http://library.link/vocab/ext/overdrive/overdriveId
 22573/ctv3f9cn1
 Specific material designation
 remote
 System control number
 (OCoLC)891400524
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