Entropy and Information : Progress in Mathematical Physics - Robert G. Burns

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Entropy and Information

By: Robert G. Burns (Translator), Mikhail V. Volkenstein, Abe Shenitzer (Translator)

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Hardcover | 14 August 2009

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Hardcover
224 Pages

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24.13 x 15.88 x 1.27

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This is just...entropy, he said, thinking that this explained everything, and he repeated the strange word a few times. 1 ? Karel Capek, "Krakatit" This "strange word" denotes one of the most basic quantities of the physics of heat phenomena, that is, of thermodynamics. Although the concept of entropy did indeed originate in thermodynamics, it later became clear that it was a more universal concept, of fundamental signi?cance for chemistry and biology, as well as physics. Although the concept of energy is usually considered more important and easier to grasp, it turns out, as we shall see, that the idea of entropy is just as substantial--and moreover not all that complicated. We can compute or measure the quantity of energy contained in this sheet of paper, and the same is true of its entropy. Furthermore, entropy has remarkable properties. Our galaxy, the solar system, and the biosphere all take their being from entropy, as a result of its transferenceto the surrounding medium. Thereis a surprisingconnectionbetween entropyandinformation, thatis, thetotalintelligencecommunicatedbyamessage. All of this is expounded in the present book, thereby conveying informationto the readeranddecreasinghis entropy;butitis uptothe readertodecidehowvaluable this information might be.

Industry Reviews

From the reviews: "The book is structured in eight chapters covering topics raging of the early history of thermodynamics to the complexity and value of information. ! is recommended to advanced high-school students, beginning university students and others who do not know many concepts of physics. Being a book for non-experts, the author literary describes all the notions using very simple mathematical equations ! . also, contains schemes and images for a better understanding of the reader. ! explains in details all the presented formulas and phenomenas." (Nicolae Constantinescu, Zentralblatt MATH, Vol. 1186, 2010)

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About the Author	p. ix
Preface	p. 1
"Reflections on the motive power of fire . . ."	p. 3
Sadi Carnot	p. 3
Caloric	p. 4
The irreversibility of heat processes	p. 6
What did Carnot do?	p. 9
The Carnot cycle	p. 11
Thermodynamic temperature	p. 16
The laws of thermodynamics	p. 19
Lomonosov and the conservation laws	p. 19
The law of conservation of energy	p. 21
The second law	p. 23
The pressure of light	p. 24
Entropy	p. 25
The logarithm and exponential functions	p. 27
Calculation of entropy	p. 30
Measuring entropy experimentally	p. 34
Irreversible processes	p. 37
Entropy and free energy	p. 41
Obtaining useful work	p. 41
Equilibrium conditions	p. 43
A chemical reaction	p. 45
Melting of crystals and evaporation of liquids	p. 48
Why does alcohol dissolve in water yet gasoline not do so?	p. 49
Hydrophobic forces and the albumin globule	p. 51
What do rubber and an ideal gas have in common?	p. 53
Why do we heat a room?	p. 57
"The mistress of the world and her shadow"	p. 59
Why was Emden right?	p. 60
Entropy and probability	p. 63
Boltzmann's formula	p. 63
Stirling's formula	p. 66
The meaning of Boltzmann's formula	p. 68
The fusion of a crystal and the evaporation of a liquid	p. 71
Entropic forces	p. 72
Entropy of equilibrium states	p. 76
A little quantum mechanics	p. 78
Gibbs' paradox	p. 80
Nernst's theorem	p. 81
Statistics and mechanics	p. 85
The distribution of velocities, and temperature	p. 85
The barometric formula and the "gravitational perpetuum mobile"	p. 90
Fluctuations	p. 93
Why is the sky blue?	p. 98
The age of Darwin	p. 100
Laplace's demon and Sinai's billiard	p. 103
The fate of the universe	p. 107
Open systems	p. 113
The production and flow of entropy	p. 113
The dissipation function	p. 116
An astronaut lives on negative entropy	p. 119
Why do cells divide?	p. 124
Far from equilibrium	p. 125
The Belousov-Zhabotinskii reaction	p. 131
Organisms as dissipative systems	p. 133
The three stages of thermodynamics	p. 138
Information	p. 141
Information and probability	p. 141
Informational entropy	p. 145
Information and entropy	p. 151
Maxwell's demon	p. 154
Obtaining and creating information	p. 157
The value of information	p. 160
Entropy, information, life	p. 165
The thermodynamics of living organisms	p. 165
Biological evolution, entropy, and information	p. 169
The value of biological information	p. 174
Complexity and irreplaceability	p. 181
Complexity and Gödel's theorem	p. 185
Information and artistic creation	p. 186
Index	p. 197
Table of Contents provided by Ingram. All Rights Reserved.

Entropy and Information

At a Glance

Hardcover

Industry Reviews

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How to return your order

Defective items

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