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

Statistical Thermodynamics and Properties of Matter (Hardcover): L. Couture, R. Zitoun Statistical Thermodynamics and Properties of Matter (Hardcover)
L. Couture, R. Zitoun
R6,540 Discovery Miles 65 400 Ships in 10 - 15 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.

Statistical Physics of Macromolecules (Hardcover, English ed): Alexei R. Khokhlov, Alexander Yu Grosberg, Vijay S. Pande Statistical Physics of Macromolecules (Hardcover, English ed)
Alexei R. Khokhlov, Alexander Yu Grosberg, Vijay S. Pande
R4,983 Discovery Miles 49 830 Ships in 12 - 17 working days

This text presents an introduction to the field of statistical physics of macromolecules, from the basic concepts to modern achievements. Applications in various fields of polymer physical chemistry and molecular biophysics are also covered, as are: the fundamentals of statistical theory of polymer solutions and melts; classical, sealing and renormalization group approaches; the main ideas of statistical theories of polymer liquid crystals, polymer networks and polyelectrolytes; dynamic viscoelastic behavior of polymer systems; models of house, Zimm and reptation concepts; and specific features of main biopolymers - DNA and proteins. This English edition also includes sections describing the most important recent advances such as: statistical theory of DNA gel-electrophoresis, polymers at interfaces, and dynamics of concentrated solutions of rigid polymers.

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
R1,263 Discovery Miles 12 630 Ships in 12 - 17 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.

Creep in Ceramics (Hardcover, 1st ed. 2017): Joshua Pelleg Creep in Ceramics (Hardcover, 1st ed. 2017)
Joshua Pelleg
R3,562 Discovery Miles 35 620 Ships in 12 - 17 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.

Modern Thermodynamics (Hardcover): Arieh Ben-Naim, Diego Casadei Modern Thermodynamics (Hardcover)
Arieh Ben-Naim, Diego Casadei
R2,326 Discovery Miles 23 260 Ships in 12 - 17 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
R1,226 Discovery Miles 12 260 Ships in 12 - 17 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
R594 Discovery Miles 5 940 Ships in 12 - 17 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.

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
R4,900 Discovery Miles 49 000 Ships in 12 - 17 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.

Einstein's Fridge - The Science of Fire, Ice and the Universe (Paperback): Paulsen Einstein's Fridge - The Science of Fire, Ice and the Universe (Paperback)
Paulsen
R217 Discovery Miles 2 170 Ships in 12 - 17 working days

'Hugely readable and entertaining' JIM AL-KHALILI 'An accessible and crystal-clear portrait of this discipline's breadth, largely told through its history' PHIL BALL, PHYSICS WORLD Einstein's Fridge tells the story of how scientists uncovered the least known and yet most consequential of all the sciences, and learned to harness the power of heat and ice. The laws of thermodynamics govern everything from the behaviour of atoms to that of living cells, from the engines that power our world to the black hole at the centre of our galaxy. Not only that, but thermodynamics explains why we must eat and breathe, how the lights come on, and ultimately how the universe will end. The people who decoded its laws came from every branch of the sciences - they were engineers, physicists, chemists, biologists, cosmologists and mathematicians. Their discoveries, set over two hundred years, kick-started the industrial revolution, changed the course of world wars and informed modern understanding of black holes. This book captures the thrill of discovery and the power of revolutionary science to change the world forever.

An Introduction to the Kinetic Theory of Gases and Magnetoplasmas (Hardcover, New): L.C. Woods An Introduction to the Kinetic Theory of Gases and Magnetoplasmas (Hardcover, New)
L.C. Woods
R2,608 R2,198 Discovery Miles 21 980 Save R410 (16%) Ships in 12 - 17 working days

The aim of this book is to give a physical treatment of the kinetic theory of gases and magnetoplasmas, covering the standard material in as simple a way as possible, using mean-free-path arguments when possible and identifying problem areas where received theory has either failed or has fallen short of expectations. Examples are provided by strong shock waves, ultrasonic waves (high Knudsen numbers), and transport across strong magnetic fields. Examples of problem areas provided by strong shock waves, ultrasonic waves (high Knudsen numbers), and transport across strong magnetic fields. One of the paradoxes arising in kinetic theory concerns the fluid pressure. Collisions are necessary for a fluid force to result, yet standard kinetic theory does not entail this, being satisfied to bypass Newton's equations by defining pressure as a momentum flux. This omission usually has no adverse consequences, but with increasing Knudsen number, it leads to errors. This text pays particular attention to pressure, explaining the importance of allowing for its collisional nature from the outset in developing kinetic theory.

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
R1,926 Discovery Miles 19 260 Ships in 12 - 17 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.

Advances in Fluid and Thermal Engineering - Select Proceedings of FLAME 2018 (Hardcover, 1st ed. 2019): Pankaj Saha, P.M.V.... Advances in Fluid and Thermal Engineering - Select Proceedings of FLAME 2018 (Hardcover, 1st ed. 2019)
Pankaj Saha, P.M.V. Subbarao, Basant Singh Sikarwar
R5,746 R4,333 Discovery Miles 43 330 Save R1,413 (25%) Ships in 12 - 17 working days

This book comprises select proceedings of the International Conference on Future Learning Aspects of Mechanical Engineering (FLAME 2018). The book gives an overview of recent developments in the field of thermal and fluid engineering, and covers theoretical and experimental fluid dynamics, numerical methods in heat transfer and fluid mechanics, different modes of heat transfer, multiphase transport and phase change, fluid machinery, turbo machinery, and fluid power. The book is primarily intended for researchers and professionals working in the field of fluid dynamics and thermal engineering.

Continuum Thermodynamics - Part Ii: Applications And Examples (Hardcover): Krzysztof Wilmanski, Bettina Albers Continuum Thermodynamics - Part Ii: Applications And Examples (Hardcover)
Krzysztof Wilmanski, Bettina Albers
R4,442 Discovery Miles 44 420 Ships in 10 - 15 working days

This second part of Continuum Thermodynamics is designed to match almost one-to-one the chapters of Part I. This is done so that the reader studying thermodynamics will have a deepened understanding of the subjects covered in Part I. The aims of the book are in particular: the illustration of basic features of some simple thermodynamical models such as ideal and viscous fluids, non-Newtonian fluids, nonlinear solids, interactions with electromagnetic fields, and diffusive porous materials. A further aim is the illustration of the above subjects by examples and simple solutions of initial and boundary problems as well as simple exercises to develop skills in the construction of interdisciplinary macroscopic models.

A Concise Introduction to Thermodynamics for Physicists (Paperback): Patricia Faisca A Concise Introduction to Thermodynamics for Physicists (Paperback)
Patricia Faisca
R1,383 Discovery Miles 13 830 Ships in 12 - 17 working days

* Materials are presented to guide the reader with ease through a difficult subject by providing extra help whenever needed to overcome the more demanding technical and conceptual aspects * Active reading strategies (conceptual problems, discussion questions, worked examples with comments, end of chapter problems, further reading etc.) to stimulate engagement with the text through active, critical thought * Well-balanced textbook design (including introductions, illustrations, keywords defined, highlights, notes in margins, summary of key ideas and concepts, boxes with additional topics that complement the materials presented in the main text)

Statistical Thermodynamics: With Applications To The Life Sciences (Paperback): Arieh Ben-Naim Statistical Thermodynamics: With Applications To The Life Sciences (Paperback)
Arieh Ben-Naim
R1,233 Discovery Miles 12 330 Ships in 12 - 17 working days

The book presents a clear and unique approach to statistical thermodynamics based on Shannon's measure of information, and provides applications to problems of interest in the life sciences.There is no other book which presents the fundamentals of statistical thermodynamics on Information theory, yet also includes many applications which usually do not feature in such textbooks.

Statistical Thermodynamics: With Applications To The Life Sciences (Hardcover): Arieh Ben-Naim Statistical Thermodynamics: With Applications To The Life Sciences (Hardcover)
Arieh Ben-Naim
R2,392 Discovery Miles 23 920 Ships in 12 - 17 working days

The book presents a clear and unique approach to statistical thermodynamics based on Shannon's measure of information, and provides applications to problems of interest in the life sciences.There is no other book which presents the fundamentals of statistical thermodynamics on Information theory, yet also includes many applications which usually do not feature in such textbooks.

Supercritical Fluids - Molecular Interactions, Physical Properties and New Applications (Hardcover, 2002 ed.): Y. Arai, T.... Supercritical Fluids - Molecular Interactions, Physical Properties and New Applications (Hardcover, 2002 ed.)
Y. Arai, T. Sako, Y. Takebayashi
R4,648 R4,362 Discovery Miles 43 620 Save R286 (6%) Ships in 12 - 17 working days

New processing methods govern the progress in physical-chemical technology. The potential of supercritical fluid methods is presented in a comprehensive way in this book. On the basis of a careful discussion of physical and chemical principles, the application of this method in process technology is demonstrated.

Thermal Energy At The Nanoscale (Hardcover): Timothy S Fisher Thermal Energy At The Nanoscale (Hardcover)
Timothy S Fisher
R2,368 Discovery Miles 23 680 Ships in 12 - 17 working days

These lecture notes provide a detailed treatment of the thermal energy storage and transport by conduction in natural and fabricated structures. Thermal energy in two carriers, i.e. phonons and electrons - are explored from first principles. For solid-state transport, a common Landauer framework is used for heat flow. Issues including the quantum of thermal conductance, ballistic interface resistance, and carrier scattering are elucidated. Bulk material properties, such as thermal and electrical conductivity, are derived from particle transport theories, and the effects of spatial confinement on these properties are established.

Thermal Energy At The Nanoscale (Paperback): Timothy S Fisher Thermal Energy At The Nanoscale (Paperback)
Timothy S Fisher
R985 Discovery Miles 9 850 Ships in 12 - 17 working days

These lecture notes provide a detailed treatment of the thermal energy storage and transport by conduction in natural and fabricated structures. Thermal energy in two carriers, i.e. phonons and electrons - are explored from first principles. For solid-state transport, a common Landauer framework is used for heat flow. Issues including the quantum of thermal conductance, ballistic interface resistance, and carrier scattering are elucidated. Bulk material properties, such as thermal and electrical conductivity, are derived from particle transport theories, and the effects of spatial confinement on these properties are established.

Atmospheric Temperature Profiles of the Northern Hemisphere - A Compendium of Data (Hardcover, 2012 ed.): Young Yee, Kueyson Y.... Atmospheric Temperature Profiles of the Northern Hemisphere - A Compendium of Data (Hardcover, 2012 ed.)
Young Yee, Kueyson Y. Yee, Erik Y. Yee
R5,133 R4,284 Discovery Miles 42 840 Save R849 (17%) Ships in 12 - 17 working days

For more than three decades, the US Standard Atmosphere has been used by researchers and professionals in many areas of aeronautics and atmospheric sciences. It is an idealized, all season average temperature profile of the earth's atmosphere. But today's modern day and sophisticated global applications require more extensive representations of the mean temperature profile. This book is a global augmentation of the climatological tropospheric temperature profiles in the Northern Hemisphere for different latitude belts and seasons. There are 72 mean temperature profile tables from the surface up to 10 kilometers in height that represent the four seasons for different latitudinal belts (5 Degrees N, 10 Degrees N , 15 Degrees N, 20 Degrees N, 25 Degrees N, 30 Degrees N, 35 Degrees N, 40 Degrees N, 45 Degrees N, 50 Degrees N, 55 Degrees N, 60 Degrees N, 65 Degrees N, 70 Degrees N, 75 Degrees N, 80 Degrees N, 85 Degrees N). The model is based on a neural network algorithm that uses archived radiosonde data, retrieved temperature profiles from remote sensors, and the solar insolation at the top of the earth's atmosphere. It is the most comprehensive book of mean seasonal tropospheric temperature profiles to date. It will be an indispensible reference to the aeronautic and meteorological industries worldwide as well as an easy-to-use guide for climatologists, meteorologists, aeronautic engineers, researchers and aviators.

Thermodynamics (Hardcover, New): Patrick Jacobs Thermodynamics (Hardcover, New)
Patrick Jacobs
R2,869 Discovery Miles 28 690 Ships in 12 - 17 working days

This textbook on thermodynamics is intended primarily for honours and B. Sc students majoring in physical chemistry. However, students of physics, engineering and biochemistry will also find the book relevant to their studies.Its principal features are a much shorter presentation of the laws of thermodynamics than is customary, made possible by the definition of the thermodynamic scale of temperature using only one fixed point (the triple point of water) which immediately follows the Zeroth Law. The author's first exposure to thermodynamics revealed that its usefulness seemed to be mostly confined to the study of gases in equilibrium. Readers of this book will find that applications of thermodynamics to liquids and solids as well as gases are emphasized, and they will learn that thermodynamics can be applied to systems which are not in equilibrium.This book contains three learning aids. Fully worked out examples are included at appropriate places in the text, which also includes numerous exercises. These are designed to help the reader stop and think about what he or she has just read. Answers to the exercises are given at the end of each section and there are also problems at the end of each chapter which readers can work out on their own.

Thermodynamics (Paperback, New): Patrick Jacobs Thermodynamics (Paperback, New)
Patrick Jacobs
R1,679 Discovery Miles 16 790 Ships in 12 - 17 working days

This textbook on thermodynamics is intended primarily for honours and B. Sc students majoring in physical chemistry. However, students of physics, engineering and biochemistry will also find the book relevant to their studies.Its principal features are a much shorter presentation of the laws of thermodynamics than is customary, made possible by the definition of the thermodynamic scale of temperature using only one fixed point (the triple point of water) which immediately follows the Zeroth Law. The author's first exposure to thermodynamics revealed that its usefulness seemed to be mostly confined to the study of gases in equilibrium. Readers of this book will find that applications of thermodynamics to liquids and solids as well as gases are emphasized, and they will learn that thermodynamics can be applied to systems which are not in equilibrium.This book contains three learning aids. Fully worked out examples are included at appropriate places in the text, which also includes numerous exercises. These are designed to help the reader stop and think about what he or she has just read. Answers to the exercises are given at the end of each section and there are also problems at the end of each chapter which readers can work out on their own.

Approaches to Entropy (Hardcover, 1st ed. 2019): Jeremy R. H. Tame Approaches to Entropy (Hardcover, 1st ed. 2019)
Jeremy R. H. Tame
R4,476 Discovery Miles 44 760 Ships in 10 - 15 working days

This is a book about thermodynamics, not history, but it adopts a semi-historical approach in order to highlight different approaches to entropy. The book does not follow a rigid temporal order of events, nor it is meant to be comprehensive. It includes solved examples for a solid understanding. The division into chapters under the names of key players in the development of the field is not intended to separate these individual contributions entirely, but to highlight their different approaches to entropy. This structure helps to provide a different view-point from other text-books on entropy.

Time Reversibility, Computer Simulation, Algorithms, Chaos (2nd Edition) (Hardcover, 2nd Revised edition): William Graham... Time Reversibility, Computer Simulation, Algorithms, Chaos (2nd Edition) (Hardcover, 2nd Revised edition)
William Graham Hoover, Carol Griswold Hoover
R3,899 Discovery Miles 38 990 Ships in 12 - 17 working days

A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the "reversibility paradox", with modern tools. This book describes their work from the perspective of computer simulation, emphasizing the authors' approach to the problem of understanding the compatibility, and even inevitability, of the irreversible second law of thermodynamics with an underlying time-reversible mechanics. Computer simulation has made it possible to probe reversibility from a variety of directions and "chaos theory" or "nonlinear dynamics" has supplied a useful vocabulary and a set of concepts, which allow a fuller explanation of irreversibility than that available to Boltzmann or to Green, Kubo and Onsager. Clear illustration of concepts is emphasized throughout, and reinforced with a glossary of technical terms from the specialized fields which have been combined here to focus on a common theme.The book begins with a discussion, contrasting the idealized reversibility of basic physics against the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory - fractals and Lyapunov instability - are fundamental to the approach.Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers. The generous assortment of examples worked out in the text will stimulate readers to explore the rich and fruitful field of study which links fundamental reversible laws of physics to the irreversibility surrounding us all.This expanded edition stresses and illustrates computer algorithms with many new worked-out examples, and includes considerable new material on shockwaves, Lyapunov instability and fluctuations.

Disequilibrium and Self-Organisation (Hardcover, 1986 ed.): C. W. Kilmister Disequilibrium and Self-Organisation (Hardcover, 1986 ed.)
C. W. Kilmister
R2,973 Discovery Miles 29 730 Ships in 10 - 15 working days

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chif1ese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics," "CFD," "completely integrable systems," "chaos, synergetics and large-scale order," which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics."

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