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 Missouri-St. 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 Missouri-St. 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. 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
- Language
- eng
- Extent
- 1 online resource (375 pages)
- Contents
-
- Chapter Three. Probabilistic Aspects of Entropy
- Georgii, Hans-Otto
- 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. 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
- 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, Hans-Otto
- 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, Hans-Otto
- 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
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.umsl.edu/portal/Entropy-Andreas-Greven-Gerhard-Keller-Gerald/DpPFcqosDlc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.umsl.edu/portal/Entropy-Andreas-Greven-Gerhard-Keller-Gerald/DpPFcqosDlc/">Entropy, Andreas Greven, Gerhard Keller, Gerald Warnecke, editors</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.umsl.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.umsl.edu/">University of Missouri-St. Louis Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item Entropy, Andreas Greven, Gerhard Keller, Gerald Warnecke, editors
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.umsl.edu/portal/Entropy-Andreas-Greven-Gerhard-Keller-Gerald/DpPFcqosDlc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.umsl.edu/portal/Entropy-Andreas-Greven-Gerhard-Keller-Gerald/DpPFcqosDlc/">Entropy, Andreas Greven, Gerhard Keller, Gerald Warnecke, editors</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.umsl.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.umsl.edu/">University of Missouri-St. Louis Libraries</a></span></span></span></span></div>
