A Farewell To Entropy
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Farewell To Entropy A Statistical Thermodynamics Based On Information
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Author : Arieh Ben-naim
language : en
Publisher: World Scientific
Release Date : 2008-01-18
Farewell To Entropy A Statistical Thermodynamics Based On Information written by Arieh Ben-naim and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-18 with Science categories.
The principal message of this book is that thermodynamics and statistical mechanics will benefit from replacing the unfortunate, misleading and mysterious term “entropy” with a more familiar, meaningful and appropriate term such as information, missing information or uncertainty. This replacement would facilitate the interpretation of the “driving force” of many processes in terms of informational changes and dispel the mystery that has always enshrouded entropy.It has been 140 years since Clausius coined the term “entropy”; almost 50 years since Shannon developed the mathematical theory of “information” — subsequently renamed “entropy”. In this book, the author advocates replacing “entropy” by “information”, a term that has become widely used in many branches of science.The author also takes a new and bold approach to thermodynamics and statistical mechanics. Information is used not only as a tool for predicting distributions but as the fundamental cornerstone concept of thermodynamics, held until now by the term “entropy”.The topics covered include the fundamentals of probability and information theory; the general concept of information as well as the particular concept of information as applied in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of an ideal gas from purely informational arguments; the fundamental formalism of statistical mechanics; and many examples of simple processes the “driving force” for which is analyzed in terms of information.
Discover Entropy And The Second Law Of Thermodynamics
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Author : Arieh Ben-Naim
language : en
Publisher: World Scientific
Release Date : 2010
Discover Entropy And The Second Law Of Thermodynamics written by Arieh Ben-Naim and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
This is a sequel to the author's book entitled “Entropy Demystified” (Published by World Scientific, 2007). The aim is essentially the same as that of the previous book by the author: to present Entropy and the Second Law as simple, meaningful and comprehensible concepts. In addition, this book presents a series of “experiments” which are designed to help the reader discover entropy and the Second Law. While doing the experiments, the reader will encounter three most fundamental probability distributions featuring in Physics: the Uniform, the Boltzmann and the Maxwell-Boltzmann distributions. In addition, the concepts of entropy and the Second Law will emerge naturally from these experiments without a tinge of mystery. These concepts are explained with the help of a few familiar ideas of probability and information theory. The main “value” of the book is to introduce entropy and the Second Law in simple language which renders it accessible to any reader who can read and is curious about the basic laws of nature. The book is addressed to anyone interested in science and in understanding natural phenomenon. It will afford the reader the opportunity to discover one of the most fundamental laws of physics — a law that has resisted complete understanding for over a century. The book is also designed to be enjoyable. There is no other book of its kind (except “Entropy Demystified” by the same author) that offers the reader a unique opportunity to discover one of the most profound laws — sometimes viewed as a mysterious — while comfortably playing with familiar games. There are no pre-requisites expected from the readers; all that the reader is expected to do is to follow the experiments or imagine doing the experiments and reach the inevitable conclusions.
A Farewell To Ice
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Author : P. Wadhams
language : en
Publisher: Oxford University Press
Release Date : 2017
A Farewell To Ice written by P. Wadhams and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with History categories.
A sobering but important and enlightening book, A Farewell to Ice moves smoothly through explanations ice's role on our planet, its history, and the current global crisis that is climate change, finally offering tangible efforts readers can make as citizens, which are particularly relevant in the face of reluctant government powers.
Statistical Mechanics
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Author : B. Widom
language : en
Publisher: Cambridge University Press
Release Date : 2002-04-18
Statistical Mechanics written by B. Widom and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-18 with Science categories.
This book is an introduction to statistical mechanics, intended for advanced undergraduate or beginning graduate students.
Information Theory
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Author : Arieh Ben-Naim
language : en
Publisher: Springer Nature
Release Date : 2024-12-11
Information Theory written by Arieh Ben-Naim and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-11 with Computers categories.
This monograph explores the interdisciplinary applications of information theory, focusing on the concepts of entropy, mutual information, and their implications in various fields. It explains the fundamental differences between entropy and Shannon’s Measure of Information (SMI), presents the application of information theory to living systems and psychology, and also discusses the role of entropy in art. It critically overviews the definition of correlations and multivariate mutual information.These notions are used to build a new perspective for understanding the irreversibility of processes in macroscopic systems, while the dynamical laws governing the microscopic components are reversible. It also delves into the use of mutual information in linguistics, cryptography, steganography, and communication systems. The book details the theoretical and practical aspects of information theory across a spectrum of disciplines and is a useful tool for any scientist interested in what is usually called entropy.
Information Theory And Selected Applications
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Author : Arieh Ben-Naim
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Information Theory And Selected Applications written by Arieh Ben-Naim and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Computers categories.
This book focuses on analysing the applications of the Shannon Measure of Information (SMI). The book introduces the concept of frustration and discusses the question of the quantification of this concept within information theory (IT), while it also focuses on the interpretation of the entropy of systems of interacting particles in terms of the SMI and of mutual information. The author examines the question of the possibility of measuring the extent of frustration using mutual information and discusses some classical examples of processes of mixing and assimilation for which the entropy changes are interpreted in terms of SMI. A description of a few binding systems and the interpretation of cooperativity phenomena in terms of mutual information are also presented, along with a detailed discussion on the general method of using maximum SMI in order to find the “best-guess” probability distribution. This book is a valuable contribution to the field of information theory and will be of great interest to any scientist who is interested in IT and in its potential applications.
Entropy
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Author : Arieh Ben-Naim
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-10-10
Entropy written by Arieh Ben-Naim and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-10 with Science categories.
This book discusses the proper definitions of entropy, the valid interpretation of entropy and some useful applications of the concept of entropy. Unlike many books which apply the concept of entropy to systems for which it is not even defined (such as living systems, black holes and the entire universe), these applications will help the reader to understand the meaning of entropy. It also emphasizes the limitations of the applicability of the concept of entropy and the Second Law of Thermodynamics. As with the previous books by the author, this book aims at a clear and mystery-free presentation of the central concept in thermodynamics -- the entropy. In this book, the concepts of entropy and the Second Law are presented in a friendly, simple language. It is devoid of all kinds of fancy and pompous statements made by authors of popular science books who write on this subject.
Applied Chemistry And Chemical Engineering Volume 1
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Author : A. K. Haghi
language : en
Publisher: CRC Press
Release Date : 2017-12-22
Applied Chemistry And Chemical Engineering Volume 1 written by A. K. Haghi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-22 with Mathematics categories.
This new book brings together innovative research, new concepts, and novel developments in the application of informatics tools for applied chemistry and computer science. It presents a modern approach to modeling and calculation and also looks at experimental design in applied chemistry and chemical engineering. The volume discusses the developments of advanced chemical products and respective tools to characterize and predict the chemical material properties and behavior. Providing numerous comparisons of different methods with one another and with different experiments, not only does this book summarize the classical theories, but it also exhibits their engineering applications in response to the current key issues. Recent trends in several areas of chemistry and chemical engineering science, which have important application to practice, are discussed. Applied Chemistry and Chemical Engineering: Volume 1: Mathematical and Analytical Techniques provides valuable information for chemical engineers and researchers as well as for graduate students. It demonstrates the progress and promise for developing chemical materials that seem capable of moving this field from laboratory-scale prototypes to actual industrial applications. Volume 2 will focus principles and methodologies in applied chemistry and chemical engineering.
The Four Laws That Do Not Drive The Universe
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Author : Arieh Ben-Naim
language : en
Publisher: World Scientific
Release Date : 2017-08-14
The Four Laws That Do Not Drive The Universe written by Arieh Ben-Naim and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-14 with Science categories.
This book provides a clear and mystery-free presentation of the central concepts in thermodynamics — probability, entropy, Helmholtz energy and Gibbs energy. It presents the concepts of entropy, free energy and various formulations of the Second Law in a friendly, simple language. It is devoid of all kinds of fancy and pompous statements made by authors of popular science books who write on this subject. The book focuses on the Four Laws of Thermodynamics. As it is said in the dedication page, this book is addressed to readers who might have already been exposed to Atkins' book having a similar title. It challenges both the title, and the contents of Atkins' book, Four Laws That Drive The Universe. One can glean from the title of this new book that the author's views are diametrically opposed to the views of Atkins. The book is addressed to any curious and intelligent reader. It aims to tickle, and hopefully to satisfy your curiosity. It also aims to challenge your gray matter, and to enrich your knowledge by telling you some facts and ideas regarding the Four Laws of Thermodynamics.
On The Fractal Language Of Medicine
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Author : Bruce J. West
language : en
Publisher: CRC Press
Release Date : 2024-07-17
On The Fractal Language Of Medicine written by Bruce J. West and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-17 with Mathematics categories.
On the Fractal Language of Medicine bridges a very clear gap among the knowledge gained over the last 20 years in the physical and life sciences on network theory, organ synchronicity and communication, the understanding of fractal signatures in health and disease and the importance of fractional calculus in integrating these concepts. The authors opine that the field of medicine has not appreciated this hard-won knowledge and has suffered greatly as a result. This book addresses this perceived deficiency by introducing medical researchers, clinicians, residents, first-year medical students and members of allied fields to the work of the so-called hard sciences. It seeks to facilitate effective communication between empiricists and theorists by making interdisciplinary efforts to explain complex mathematical concepts to physicians and, equally important, to elucidate complex medical concepts to physicists or mathematicians. This book will be of great interest to medical students, professionals and academics, as well as students and researchers of applied mathematics, especially those interested in fractional calculus and fractals.