By Arieh Ben-Naim
The crucial message of this e-book is that thermodynamics and statistical mechanics will reap the benefits of changing the unlucky, deceptive and mysterious time period "entropy" with a extra commonplace, significant and applicable time period akin to details, lacking info or uncertainty. This substitute may facilitate the translation of the "driving strength" of many tactics when it comes to informational adjustments and dispel the secret that has regularly enshrouded entropy.
it's been a hundred and forty years due to the fact Clausius coined the time period "entropy"; nearly 50 years considering Shannon constructed the mathematical thought of "information" -- therefore renamed "entropy". during this e-book, the writer advocates changing "entropy" through "information", a time period that has develop into wide-spread in lots of branches of technological know-how.
the writer additionally takes a brand new and ambitious method of thermodynamics and statistical mechanics. info is used not just as a device for predicting distributions yet because the primary cornerstone notion of thermodynamics, held formerly by way of the time period "entropy".
the themes coated contain the basics of likelihood and data idea; the overall notion of knowledge in addition to the actual thought of data as utilized in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of an excellent fuel from only informational arguments; the basic formalism of statistical mechanics; and lots of examples of straightforward tactics the "driving strength" for that is analyzed by way of details.
Readership: an individual attracted to the sciences, scholars, researchers; in addition to the layman.
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Extra resources for A Farewell To Entropy
A typical question that is said to have been addressed to Galileo Galilei (1564–1642) was the following: Suppose that we play with three dice and we are asked to bet on the sum of the outcomes of tossing the three dice simultaneously. Clearly, we feel that it would not be wise to bet our chances on the outcome 3, nor on 18; our feeling is correct (in a sense discussed below). The reason is that both 3 and 18 have only one way of occurring; 1:1:1 and 6:6:6 respectively, and we intuitively judge that these events are relatively rare.
The concept of information is, however, the same in whatever ﬁeld it is being used. We shall discuss in Chapter 4 the passage from a system with a small number of degrees of freedom to thermodynamic systems having a huge number of degrees of freedom. 22 As is eﬀectively done in many ﬁelds of physics. , the entropy of the system would be proportional to the size of the system. 24 Quoted by Jacob Bekenstein (2003). 1 Introduction Probability theory is a branch of mathematics. Its uses are in all ﬁelds of sciences, from physics and chemistry, to biology and sociology, to economics and psychology; in short, it is used everywhere and anytime in our lives.
The size of A is however much smaller than the size of B. Consider the next message: C: Each of the houses in this town costs one million dollars. Clearly, C contains more information than B. The message C tells us the price of more houses than the message B, yet it is much shorter than B (shorter in some sense that will be discussed in Chapter 3). Consider the next message: D: Each of the houses in this country costs one billion dollars. This message conveys information on more houses and on more money, yet it is roughly of the same size as the messages C or A.