Science and Information Theory
A classic source for exploring the connections between information theory and physics, this text is geared toward upper-level undergraduates and graduate students. The author, a giant of twentieth-century mathematics, applies the principles of information theory to a variety of issues, including Maxwell's demon, thermodynamics, and measurement problems.
Author Leon Brillouin begins by defining and applying the term "information" and proceeds to explorations of the principles of coding, coding problems and solutions, the analysis of signals, a summary of thermodynamics, thermal agitation and Brownian motion, and thermal noise in an electric circuit. A discussion of the negentropy principle of information introduces Brillouin's renowned examination of Maxwell's demon. Concluding chapters explore the associations between information theory, the uncertainty principle, and physical limits of observation, in addition to problems related to computing, organizing information, and inevitable errors.
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according to Eq accuracy amount of information amplitude assume atoms binary digits bits per letter Boltzmann's constant Brownian motion C. E. Shannon cell channel Chapter circuit coding coefficient completely compute constant contains corresponds defined definition degrees of freedom demon device discussed duration efficiency electron entropy increase equally probable equation error example experimental fluctuations formula Fourier series gives hence high frequencies increase of entropy information obtained information theory integral interval kinetic energy length Let us consider limit low frequencies maximum measure method molecule negative negentropy principle noise observation operation oscillations particle physical system Planck's constant plane position possible problem pulses punched tape Q plane quantity quantum random reciprocal lattice represents resonator result Section Shannon signal similar small distances spectrum symbols temperature thermodynamics tion total number transfer function uncertainty relation variables velocity wave wavelengths words yields zero