All listings for this product
About this product
- DescriptionThe 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 Cart, 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 Ljapuv functionals. The book starts by providing basic concepts and termilogy, 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.
- Author BiographyAndreas Greven and Gerhard Kellerare Professors of Mathematics at the University of Erlangen. Gerald Warnecke is Professor of Numerical Mathematics at the University of Magdeburg.
- PublisherPrinceton University Press
- Date of Publication06/10/2003
- Series TitlePrinceton Series in Applied Mathematics
- Place of PublicationNew Jersey
- Country of PublicationUnited States
- ImprintPrinceton University Press
- Content Note21 line illus. 1 table.
- Weight685 g
- Width152 mm
- Height229 mm
- Spine22 mm
- Edited byAndreas Greven,Gerald Warnecke,Gerhard Keller,Gerhard Kellerare
- Format DetailsLaminated cover
Best-selling in Non-Fiction Books
- AU $61.65New
- AU $7.64New
- AU $20.61New
- AU $33.28New
- AU $29.94New
Save on Non-Fiction Books
- AU $59.99Trending at AU $61.65
- AU $3.99Trending at AU $7.64
- AU $40.94Trending at AU $51.58
- AU $32.35Trending at AU $51.03
- AU $29.54Trending at AU $29.94
- AU $56.72Trending at AU $63.10
- AU $49.30Trending at AU $52.75
This item doesn't belong on this page.
Thanks, we'll look into this.