1# Library to Find Best eBook for Read
Author : Tom Leinster
Release : 2021-04-22
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : 709/5 ( reviews)
Book Synopsis Entropy and Diversity by : Tom Leinster
Download or read book Entropy and Diversity written by Tom Leinster. This book was released on 2021-04-22. 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.
Author : Jeremy Rifkin
Release : 1981-09-01
Genre : Civilization
Kind : eBook
Book Rating : 995/5 ( reviews)
Book Synopsis Entropy by : Jeremy Rifkin
Download or read book Entropy written by Jeremy Rifkin. This book was released on 1981-09-01. Available in PDF, EPUB and Kindle. Book excerpt: Offers a hard-hitting analysis of world turmoil and its ceaseless predicaments, according to the thermodynamic law of entropy--all energy flows from order to disorder, from the usable to the unusable
Author : Andreas Greven
Release : 2014-09-08
Genre : Mathematics
Kind : eBook
Book Rating : 220/5 ( reviews)
Book Synopsis Entropy by : Andreas Greven
Download or read book Entropy written by Andreas Greven. This book was released on 2014-09-08. 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.
Author : Terry Bossomaier
Release : 2016-11-15
Genre : Computers
Kind : eBook
Book Rating : 222/5 ( reviews)
Book Synopsis An Introduction to Transfer Entropy by : Terry Bossomaier
Download or read book An Introduction to Transfer Entropy written by Terry Bossomaier. This book was released on 2016-11-15. Available in PDF, EPUB and Kindle. Book excerpt: This book considers a relatively new metric in complex systems, transfer entropy, derived from a series of measurements, usually a time series. After a qualitative introduction and a chapter that explains the key ideas from statistics required to understand the text, the authors then present information theory and transfer entropy in depth. A key feature of the approach is the authors' work to show the relationship between information flow and complexity. The later chapters demonstrate information transfer in canonical systems, and applications, for example in neuroscience and in finance. The book will be of value to advanced undergraduate and graduate students and researchers in the areas of computer science, neuroscience, physics, and engineering.
Author : Robert M. Gray
Release : 2013-03-14
Genre : Computers
Kind : eBook
Book Rating : 826/5 ( reviews)
Book Synopsis Entropy and Information Theory by : Robert M. Gray
Download or read book Entropy and Information Theory written by Robert M. Gray. This book was released on 2013-03-14. 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.
