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Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Thermodynamics

Competitive Physics: Thermodynamics, Electromagnetism And Relativity (Hardcover): Jinhui Wang, Bernard Ricardo Widjaja Competitive Physics: Thermodynamics, Electromagnetism And Relativity (Hardcover)
Jinhui Wang, Bernard Ricardo Widjaja
R2,936 Discovery Miles 29 360 Ships in 18 - 22 working days

Written by a former Olympiad student, Wang Jinhui, and a Physics Olympiad national trainer, Bernard Ricardo, Competitive Physics delves into the art of solving challenging physics puzzles. This book not only expounds a multitude of physics topics from the basics but also illustrates how these theories can be applied to problems, often in an elegant fashion. With worked examples that depict various problem-solving sleights of hand and interesting exercises to enhance the mastery of such techniques, readers will hopefully be able to develop their own insights and be better prepared for physics competitions. Ultimately, problem-solving is a craft that requires much intuition. Yet this intuition, perhaps, can only be honed by trudging through an arduous but fulfilling journey of enigmas.This is the second part of a two-volume series and will mainly analyze thermodynamics, electromagnetism and special relativity. A brief overview of geometrical optics is also included.

Statistical Thermodynamics and Properties of Matter (Hardcover): L. Couture, R. Zitoun Statistical Thermodynamics and Properties of Matter (Hardcover)
L. Couture, R. Zitoun
R7,208 Discovery Miles 72 080 Ships in 18 - 22 working days

Statistical Thermodynamics and Properties of Matter is written with the advanced undergraduate and graduate student in mind. Its aim is to familiarize the student with the approach that a physicist would take, for example, when tackling problems related to quantum mechanics or thermodynamics.

Differential Scanning Calorimetry (Hardcover, 2nd rev. a. enlarged ed. 2003): Gunther Hoehne, Wolfgang F. Hemminger, H.-J... Differential Scanning Calorimetry (Hardcover, 2nd rev. a. enlarged ed. 2003)
Gunther Hoehne, Wolfgang F. Hemminger, H.-J Flammersheim
R8,243 Discovery Miles 82 430 Ships in 10 - 15 working days

In this updated and fully revised second edition, the authors provide the newcomer and the experienced practitioner with a balanced and comprehensive insight into all important methods and aspects of Differential Scanning Calorimetry (DSC), including a sound presentation of the theoretical basis of DSC thermal analysis and temperature-modulated DSC (TMDCS). Emphasis is placed on modern evaluation techniques, instrumentation, the underlying measurement principles, metrologically correct calibrations, factors influencing the measurement process, and on the exact interpretation of the results. The information enables the research scientist, the analyst and experienced laboratory staff to choose the most suitable equipment, to apply DSC methods successfully, to interpret the measurement curve, and thus to measure key properties precisely. In addition, the new edition includes improved instrumental techniques such as Tzerotm and StepScantm, new evaluation techniques, more applications, and the latest references.

Synthesis, Structure and Properties of Poly(lactic acid) (Hardcover, 1st ed. 2018): Maria Laura Di Lorenzo, Rene Androsch Synthesis, Structure and Properties of Poly(lactic acid) (Hardcover, 1st ed. 2018)
Maria Laura Di Lorenzo, Rene Androsch
R8,072 Discovery Miles 80 720 Ships in 18 - 22 working days

The series Advances in Polymer Science presents critical reviews of the present and future trends in polymer and biopolymer science. It covers all areas of research in polymer and biopolymer science including chemistry, physical chemistry, physics, material science.The thematic volumes are addressed to scientists, whether at universities or in industry, who wish to keep abreast of the important advances in the covered topics.Advances in Polymer Science enjoys a longstanding tradition and good reputation in its community. Each volume is dedicated to a current topic, and each review critically surveys one aspect of that topic, to place it within the context of the volume. The volumes typically summarize the significant developments of the last 5 to 10 years and discuss them critically, presenting selected examples, explaining and illustrating the important principles, and bringing together many important references of primary literature. On that basis, future research directions in the area can be discussed. Advances in Polymer Science volumes thus are important references for every polymer scientist, as well as for other scientists interested in polymer science - as an introduction to a neighboring field, or as a compilation of detailed information for the specialist.Review articles for the individual volumes are invited by the volume editors. Single contributions can be specially commissioned.Readership: Polymer scientists, or scientists in related fields interested in polymer and biopolymer science, at universities or in industry, graduate students

Entropy Beyond the Second Law - Thermodynamics and statistical mechanics for equilibrium, non-equilibrium, classical, and... Entropy Beyond the Second Law - Thermodynamics and statistical mechanics for equilibrium, non-equilibrium, classical, and quantum systems (Hardcover)
Phil Attard
R2,740 Discovery Miles 27 400 Ships in 10 - 15 working days
Weighted Residual Methods - Principles, Modifications and Applications (Paperback): Mohammad Hatami Weighted Residual Methods - Principles, Modifications and Applications (Paperback)
Mohammad Hatami
R3,694 R3,446 Discovery Miles 34 460 Save R248 (7%) Ships in 10 - 15 working days

Weighted Residual Methods: Principles, Modifications and Applications introduces a range of WRMs, providing examples that show how they can be used to solve complex engineering problems with greater accuracy and computational efficiency. Examples focus on non-linear problems, including the motion of a spherical particle, nanofluid flow and heat transfer, magnetohydrodynamic flow and heat transfer, and micropolar fluid flow and heat transfer. These are important factors in understanding processes, such as filtration, combustion, air and water pollution and micro contamination. In addition to the applications, the reader is provided with full derivations of equations and summaries of important field research.

The Classical Stefan Problem - Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods (Paperback,... The Classical Stefan Problem - Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods (Paperback, 2nd edition)
S.C. Gupta
R5,293 R4,289 Discovery Miles 42 890 Save R1,004 (19%) Ships in 10 - 15 working days

The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods, New Edition, provides fundamental theory, concepts, modelling and analysis of the physical, mathematical, thermodynamical and metallurgical properties of classical Stefan and Stefan-like problems as applied to heat transfer problems involving phase-changes, such as from liquid to solid. This self-contained work reports and derives the results from tensor analysis, differential geometry, non-equilibrium thermodynamics, physics and functional analysis, and is thoroughly enriched with many appropriate references for an in-depth background reading on theorems. This new edition includes more than 400 pages of new material on quasi-analytical solutions and methods of classical Stefan and Stefan-like problems. The book aims to bridge the gap between the theoretical and solution aspects of the afore-mentioned problems.

Creep in Ceramics (Hardcover, 1st ed. 2017): Joshua Pelleg Creep in Ceramics (Hardcover, 1st ed. 2017)
Joshua Pelleg
R3,578 Discovery Miles 35 780 Ships in 10 - 15 working days

This book focuses on Creep in Ceramics. The book consists of two parts. In part A general knowledge of creep in ceramics is considered, while part B specifies creep in technologically important ceramics, namely creep in oxide ceramics, carnides and nitrides. While covering all relevant information regarding raw materials and characterization of creep in ceramics, the book also summarizes most recent innovations and developments in this field as a result of extensive literature search.

A Thermodynamic Approach to Water Geothermometry (Hardcover, 1st ed. 2020): Roberto Cioni, Luigi Marini A Thermodynamic Approach to Water Geothermometry (Hardcover, 1st ed. 2020)
Roberto Cioni, Luigi Marini
R4,010 Discovery Miles 40 100 Ships in 10 - 15 working days

This book explores water geothermometry, a highly relevant topic in the exploration and exploitation of geothermal energy. Presenting theoretical geothermometers and indicators of CO2 fugacity, it describes a rigorous new approach entirely based on thermodynamics. The book will appeal to geothermal geoscientists, especially those working in research institutions and companies around the globe. It is also of interest to students on advanced courses in applied geochemistry, water-rock interaction and other related areas.

Four Laws That Do Not Drive The Universe, The: Elements Of Thermodynamics For The Curious And Intelligent (Hardcover): Arieh... Four Laws That Do Not Drive The Universe, The: Elements Of Thermodynamics For The Curious And Intelligent (Hardcover)
Arieh Ben-Naim
R1,230 Discovery Miles 12 300 Ships in 18 - 22 working days

'The four laws that do not drive the universe: elements of thermodynamics for the curious and intelligent. The second purpose of Ben-NaimaEURO (TM)s book is to explain thermodynamics and show its relationship to information theory. This explanation makes the present book worth reading in its own right. Ben-NaimaEURO (TM)s discussion of the information basis of the second law is lucid and well worth reading.'CHOICEThis 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.

Data Analysis for Direct Numerical Simulations of Turbulent Combustion - From Equation-Based Analysis to Machine Learning... Data Analysis for Direct Numerical Simulations of Turbulent Combustion - From Equation-Based Analysis to Machine Learning (Hardcover, 1st ed. 2020)
Heinz Pitsch, Antonio Attili
R5,174 Discovery Miles 51 740 Ships in 18 - 22 working days

This book presents methodologies for analysing large data sets produced by the direct numerical simulation (DNS) of turbulence and combustion. It describes the development of models that can be used to analyse large eddy simulations, and highlights both the most common techniques and newly emerging ones. The chapters, written by internationally respected experts, invite readers to consider DNS of turbulence and combustion from a formal, data-driven standpoint, rather than one led by experience and intuition. This perspective allows readers to recognise the shortcomings of existing models, with the ultimate goal of quantifying and reducing model-based uncertainty. In addition, recent advances in machine learning and statistical inferences offer new insights on the interpretation of DNS data. The book will especially benefit graduate-level students and researchers in mechanical and aerospace engineering, e.g. those with an interest in general fluid mechanics, applied mathematics, and the environmental and atmospheric sciences.

Thermodynamics of Flowing Systems: with Internal Microstructure (Hardcover): Antony N. Beris, Brian J. Edwards Thermodynamics of Flowing Systems: with Internal Microstructure (Hardcover)
Antony N. Beris, Brian J. Edwards
R12,340 R11,503 Discovery Miles 115 030 Save R837 (7%) Ships in 10 - 15 working days

  • Systematic approach
  • Self contained - reviews the principles and the applications Beris presents a new systematic approach to the continuum modelling of flow phenomena within materials with a complex internal microstructure, such as polymers and liquid crystals. Beris takes a novel approach to this subject as the principles of Hamiltonian mechanics are combined with those of irreversible thermodynamics. This text is therefore the perfect base for mathematicians, engineers, or physicists involved in flow behaviour.
  • Is There a Temperature? - Conceptual Challenges at High Energy, Acceleration and Complexity (Hardcover, 2011 ed.): Tamas Sandor... Is There a Temperature? - Conceptual Challenges at High Energy, Acceleration and Complexity (Hardcover, 2011 ed.)
    Tamas Sandor Biro
    R4,183 Discovery Miles 41 830 Ships in 18 - 22 working days

    Temperature and heat, entropy and order or disorder are key classical concepts of physics. These are challenged by searching matter under extreme conditions, such as high (relativistic) energy, strong acceleration or gravitation, or unusual complexity due to long range correlations. In our quest for quark matter all these conditions might occur simultaneously. This book, strongly motivated by the authors' everyday research experiences in the field of high-energy heavy-ion collisions, aims to bundle these challenges to modern physics.

    The main topic is at the heart of thermodynamics --the very concept of temperature, its use and extensions. New developments on this issue are both applications and foundations of non-extensive statistics, as well as concepts borrowed from gravity and string theory to describe the surprisingly statistical behavior of elementary matter at the highest accelerator energies of the world.

    The reader will benefit from bringing these new developments in one book together, by having the view of classical and modern concepts at the heart of physics across the problems related to high-energy, high acceleration and high complexity.

    After reviewing the classical approaches, the author discusses the dual-gravity and non-extensive statistical aspects of heavy-ion collisions, describing these experimental findings with the use of the concept of temperature."

    Modern Thermodynamics (Hardcover): Arieh Ben-Naim, Diego Casadei Modern Thermodynamics (Hardcover)
    Arieh Ben-Naim, Diego Casadei
    R2,354 Discovery Miles 23 540 Ships in 18 - 22 working days

    This textbook introduces thermodynamics with a modern approach, starting from four fundamental physical facts (the atomic nature of matter, the indistinguishability of atoms and molecules of the same species, the uncertainty principle, and the existence of equilibrium states) and analyzing the behavior of complex systems with the tools of information theory, in particular with Shannon's measure of information (or SMI), which can be defined on any probability distribution. SMI is defined and its properties and time evolution are illustrated, and it is shown that the entropy is a particular type of SMI, i.e. the SMI related to the phase-space distribution for a macroscopic system at equilibrium. The connection to SMI allows the reader to understand what entropy is and why isolated systems follow the Second Law of Thermodynamics. The Second Llaw is also formulated for other systems, not thermally isolated and even open with respect to the transfer of particles. All the fundamental aspects of thermodynamics are derived and illustrated with several examples in the first part of the book. The second part addresses important applications of thermodynamics, covering phase transitions, mixtures and solutions (including the Kirkwood-Buff approach and solvation thermodynamics), chemical equilibrium, and the outstanding properties of water.This textbook is unique in two aspects. First, thermodynamics is introduced with a novel approach, based on information theory applied to macroscopic systems at equilibrium. It is shown that entropy is a particular case of Shannon's measure of information (SMI), and the properties and time evolution of the SMI are used to explain the Second Law of Thermodynamics. This represents a real breakthrough, as classical thermodynamics cannot explain entropy, nor clarify why systems should obey the Second Law. Second, this textbook offers the reader the possibility to get in touch with important and advanced applications of thermodynamics, to address the topics discussed in the second part of the book. Although they may go beyond the content of a typical introductory course on thermodynamics, some of them can be important in the curriculum chosen by the student. At the same time, they are of appealing interest to more advanced scholars.

    Entropy: The Truth, The Whole Truth, And Nothing But The Truth (Hardcover): Arieh Ben-Naim Entropy: The Truth, The Whole Truth, And Nothing But The Truth (Hardcover)
    Arieh Ben-Naim
    R1,252 Discovery Miles 12 520 Ships in 10 - 15 working days

    'Ben-Naim convincingly argues that SMI not only gives a simpler and more broadly applicable definition of entropy, but also clears up much of the historical and modern confusion surrounding the second law. This book will interest any individual who wants to understand how SMI gives a clear definition of entroy.'CHOICE ConnectThis 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.

    Entropy: The Truth, The Whole Truth, And Nothing But The Truth (Paperback): Arieh Ben-Naim Entropy: The Truth, The Whole Truth, And Nothing But The Truth (Paperback)
    Arieh Ben-Naim
    R623 Discovery Miles 6 230 Ships in 10 - 15 working days

    'Ben-Naim convincingly argues that SMI not only gives a simpler and more broadly applicable definition of entropy, but also clears up much of the historical and modern confusion surrounding the second law. This book will interest any individual who wants to understand how SMI gives a clear definition of entroy.'CHOICE ConnectThis 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.

    Mathematical Modelling of Heat and Mass Transfer Processes (Hardcover): V.G. Danilov, Etc Mathematical Modelling of Heat and Mass Transfer Processes (Hardcover)
    V.G. Danilov, Etc
    R3,139 Discovery Miles 31 390 Ships in 18 - 22 working days

    Preface. From the preface to the Russian edition. Introduction. I: Properties of exact solutions of nondegenerate and degenerate ordinary differential equations. II: Direct methods for constructing exact solutions of semilinear parabolic equations. III: Singularities of nonsmooth solutions to quasilinear parabolic and hyperbolic equations. IV: Wave asymptotic solutions of degenerate semilinear parabolic and hyperbolic equations. V: Finite asymptotic solutions of degenerate equations. VI: Models for mass transfer processes. VII: The flow around a plate. References. Appendix: Justification of asymptotic solutions; S.A. Vakulenko.

    Fundamentals of the Finite Element Method for Heat  and Mass Transfer 2e (Hardcover, 2nd Edition): P. Nithiarasu Fundamentals of the Finite Element Method for Heat and Mass Transfer 2e (Hardcover, 2nd Edition)
    P. Nithiarasu
    R2,861 Discovery Miles 28 610 Ships in 10 - 15 working days

    Fundamentals of the Finite Element Method for Heat and Mass Transfer, Second Edition is a comprehensively updated new edition and is a unique book on the application of the finite element method to heat and mass transfer. Addresses fundamentals, applications and computer implementation Educational computer codes are freely available to download, modify and use Includes a large number of worked examples and exercises Fills the gap between learning and research

    Thermodynamics Of Quantum Yang-mills Theory, The: Theory And Applications (Hardcover, Second Edition): Ralf Hofmann Thermodynamics Of Quantum Yang-mills Theory, The: Theory And Applications (Hardcover, Second Edition)
    Ralf Hofmann
    R4,725 Discovery Miles 47 250 Ships in 18 - 22 working days

    This latest edition enhances the material of the first edition with a derivation of the value of the action for each of the Harrington-Shepard calorons/anticalorons that are relevant for the emergence of the thermal ground state. Also included are discussions of the caloron center versus its periphery, the role of the thermal ground state in U(1) wave propagation, photonic particle-wave duality, and calculational intricacies and book-keeping related to one-loop scattering of massless modes in the deconfining phase of an SU(2) Yang-Mills theory. Moreover, a derivation of the temperature-redshift relation of the CMB in deconfining SU(2) Yang-Mills thermodynamics and its application to explaining an apparent early re-ionization of the Universe are given. Finally, a mechanism of mass generation for cosmic neutrinos is proposed.

    Selected Systems from Cu-Fe-Si to Fe-N-U (Hardcover, 2008 ed.): Gunter Effenberg Selected Systems from Cu-Fe-Si to Fe-N-U (Hardcover, 2008 ed.)
    Gunter Effenberg
    R14,140 Discovery Miles 141 400 Ships in 18 - 22 working days

    The sub series Ternary Alloy Systems of the Landolt Boernstein New Series provides reliable and comprehensive descriptions of the materials constitution, basedo ncritical intellectual evaluationso fall data available at the time and it critically weights the different findings, also with respect to their compatibility with today's edge binary phase diagrams. Selected are ternary systems of importance to alloy development and systems which gained in the recent years otherwise scie ntific interest. In one ternary materials system, however, one may find alloys for various applications , depending on the chosen composition. Reliable phase diagrams provide scientists and engineers with basic information of eminent importance for fundamental research and for the developmentand optimization of materials. So collections of such diagrams are extremely useful, if the data on which they are based have been subjected to critical evaluation, like in these volumes. Critical evaluation means: there where contradictory information is published data and conc lusions are being analyzed, broken down to the firm facts and re interpreted in the light of all present knowledge. Depending on the information available this can be a very difficult task to achieve. Criticaleval uations establish descripti ons of reliably known phase configurations and related data.

    Diffuse Waves in Complex Media - Proceedings of the NATO Advanced Study Institute, Les Houches, France, March 17-27, 1998... Diffuse Waves in Complex Media - Proceedings of the NATO Advanced Study Institute, Les Houches, France, March 17-27, 1998 (Hardcover)
    Jean-Pierre Fouque
    R3,861 Discovery Miles 38 610 Ships in 18 - 22 working days

    There is a great deal of research into wave propagation in random media, in such fields as applied mathematics, acoustics, optics, materials science, atomic physics and geophysics. This book provides theoretical and practical introductions at research level to topics such as localization of waves, band gap materials, random matrices, dielectric media, laser cooled atoms, wave scattering from rough surfaces, randomly layered media, seismic waves and imaging the earth.

    Thermodynamics and Control of Open Quantum Systems (Hardcover): Gershon Kurizki, Abraham G. Kofman Thermodynamics and Control of Open Quantum Systems (Hardcover)
    Gershon Kurizki, Abraham G. Kofman
    R2,286 R1,941 Discovery Miles 19 410 Save R345 (15%) Ships in 10 - 15 working days

    The control of open quantum systems and their associated quantum thermodynamic properties is a topic of growing importance in modern quantum physics and quantum chemistry research. This unique and self-contained book presents a unifying perspective of such open quantum systems, first describing the fundamental theory behind these formidably complex systems, before introducing the models and techniques that are employed to control their quantum thermodynamics processes. A detailed discussion of real quantum devices is also covered, including quantum heat engines and quantum refrigerators. The theory of open quantum systems is developed pedagogically, from first principles, and the book is accessible to graduate students and researchers working in atomic physics, quantum information, condensed matter physics, and quantum chemistry.

    Transformation Thermotics and Extended Theories - Inside and Outside Metamaterials (Hardcover, 1st ed. 2023): Liu-Jun Xu,... Transformation Thermotics and Extended Theories - Inside and Outside Metamaterials (Hardcover, 1st ed. 2023)
    Liu-Jun Xu, Ji-Ping Huang
    R1,565 Discovery Miles 15 650 Ships in 18 - 22 working days

    This open access book describes the theory of transformation thermotics and its extended theories for the active control of macroscopic thermal phenomena of artificial systems, which is in sharp contrast to classical thermodynamics comprising the four thermodynamic laws for the passive description of macroscopic thermal phenomena of natural systems. This monograph consists of two parts, i.e., inside and outside metamaterials, and covers the basic concepts and mathematical methods, which are necessary to understand the thermal problems extensively investigated in physics, but also in other disciplines of engineering and materials. The analyses rely on models solved by analytical techniques accompanied by computer simulations and laboratory experiments. This monograph can not only be a bridge linking three first-class disciplines, i.e., physics, thermophysics, and materials science, but also contribute to interdisciplinary development.

    Introduction to Strong Interactions - Theory and Applications (Hardcover): Andrey Grabovsky Introduction to Strong Interactions - Theory and Applications (Hardcover)
    Andrey Grabovsky
    R2,506 Discovery Miles 25 060 Ships in 10 - 15 working days

    Features Covers both basic introductory topics, in addition to more advanced content Accompanied by over 200 problems starting from group algebra to the derivation of Migdal-Makeenko equations, Kim - Shifman - Vainshtein - Zakharov axion, and gluon + gluon to Higgs cross section, etc. Solutions are incorporated into the chapters to test understanding

    Simulation And Control Of Chaotic Nonequilibrium Systems: With A Foreword By Julien Clinton Sprott (Hardcover): William Graham... Simulation And Control Of Chaotic Nonequilibrium Systems: With A Foreword By Julien Clinton Sprott (Hardcover)
    William Graham Hoover, Carol Griswold Hoover
    R1,953 Discovery Miles 19 530 Ships in 18 - 22 working days

    This book aims to provide a lively working knowledge of the thermodynamic control of microscopic simulations, while summarizing the historical development of the subject, along with some personal reminiscences. Many computational examples are described so that they are well-suited to learning by doing. The contents enhance the current understanding of the reversibility paradox and are accessible to advanced undergraduates and researchers in physics, computation, and irreversible thermodynamics.

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