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Book
Maxwell's Demon : Entropy, Information, Computing
Authors: ---
ISBN: 1400861527 0691605467 9781400861521 0691087261 069108727X 9780691605463 9780691087269 0691087261 9780691087276 069108727X 0691634432 Year: 2014 Publisher: Princeton, NJ : Princeton University Press,

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Abstract

About 120 years ago, James Clerk Maxwell introduced his now legendary hypothetical "demon" as a challenge to the integrity of the second law of thermodynamics. Fascination with the demon persisted throughout the development of statistical and quantum physics, information theory, and computer science--and linkages have been established between Maxwell's demon and each of these disciplines. The demon's seductive quality makes it appealing to physical scientists, engineers, computer scientists, biologists, psychologists, and historians and philosophers of science. Until now its important source material has been scattered throughout diverse journals.This book brings under one cover twenty-five reprints, including seminal works by Maxwell and William Thomson; historical reviews by Martin Klein, Edward Daub, and Peter Heimann; information theoretic contributions by Leo Szilard, Leon Brillouin, Dennis Gabor, and Jerome Rothstein; and innovations by Rolf Landauer and Charles Bennett illustrating linkages with the limits of computation. An introductory chapter summarizes the demon's life, from Maxwell's illustration of the second law's statistical nature to the most recent "exorcism" of the demon based on a need periodically to erase its memory. An annotated chronological bibliography is included.Originally published in 1990.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Keywords

Thermodynamics. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Maxwell's demon. --- Adiabatic process. --- Automaton. --- Available energy (particle collision). --- Billiard-ball computer. --- Black hole information paradox. --- Black hole thermodynamics. --- Black-body radiation. --- Boltzmann's entropy formula. --- Boyle's law. --- Calculation. --- Carnot's theorem (thermodynamics). --- Catalysis. --- Chaos theory. --- Computation. --- Copying. --- Creation and annihilation operators. --- Digital physics. --- Dissipation. --- Distribution law. --- Domain wall. --- EPR paradox. --- Energy level. --- Entropy of mixing. --- Entropy. --- Exchange interaction. --- Expectation value (quantum mechanics). --- Extrapolation. --- Fair coin. --- Fermi–Dirac statistics. --- Gibbs free energy. --- Gibbs paradox. --- Guessing. --- Halting problem. --- Hamiltonian mechanics. --- Heat engine. --- Heat. --- Helmholtz free energy. --- Ideal gas. --- Idealization. --- Information theory. --- Instant. --- Internal energy. --- Irreversible process. --- James Prescott Joule. --- Johnson–Nyquist noise. --- Kinetic theory of gases. --- Laws of thermodynamics. --- Least squares. --- Loschmidt's paradox. --- Ludwig Boltzmann. --- Maxwell–Boltzmann distribution. --- Mean free path. --- Measurement. --- Mechanical equivalent of heat. --- Microscopic reversibility. --- Molecule. --- Negative temperature. --- Negentropy. --- Newton's law of universal gravitation. --- Nitrous oxide. --- Non-equilibrium thermodynamics. --- Old quantum theory. --- Particle in a box. --- Perpetual motion. --- Photon. --- Probability. --- Quantity. --- Quantum limit. --- Quantum mechanics. --- Rectangular potential barrier. --- Result. --- Reversible computing. --- Reversible process (thermodynamics). --- Richard Feynman. --- Rolf Landauer. --- Rudolf Clausius. --- Scattering. --- Schrödinger equation. --- Second law of thermodynamics. --- Self-information. --- Spontaneous process. --- Standard state. --- Statistical mechanics. --- Superselection. --- Temperature. --- Theory of heat. --- Theory. --- Thermally isolated system. --- Thermodynamic equilibrium. --- Thermodynamic system. --- Thought experiment. --- Turing machine. --- Ultimate fate of the universe. --- Uncertainty principle. --- Unitarity (physics). --- Van der Waals force. --- Wave function collapse. --- Work output.


Book
Mathematical Methods for Geophysics and Space Physics
Author:
ISBN: 152312458X 1400882826 Year: 2016 Publisher: Princeton, New Jersey : Princeton University Press,

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Graduate students in the natural sciences-including not only geophysics and space physics but also atmospheric and planetary physics, ocean sciences, and astronomy-need a broad-based mathematical toolbox to facilitate their research. In addition, they need to survey a wider array of mathematical methods that, while outside their particular areas of expertise, are important in related ones. While it is unrealistic to expect them to develop an encyclopedic knowledge of all the methods that are out there, they need to know how and where to obtain reliable and effective insights into these broader areas. Here at last is a graduate textbook that provides these students with the mathematical skills they need to succeed in today's highly interdisciplinary research environment. This authoritative and accessible book covers everything from the elements of vector and tensor analysis to ordinary differential equations, special functions, and chaos and fractals. Other topics include integral transforms, complex analysis, and inverse theory; partial differential equations of mathematical geophysics; probability, statistics, and computational methods; and much more. Proven in the classroom, Mathematical Methods for Geophysics and Space Physics features numerous exercises throughout as well as suggestions for further reading. Provides an authoritative and accessible introduction to the subject Covers vector and tensor analysis, ordinary differential equations, integrals and approximations, Fourier transforms, diffusion and dispersion, sound waves and perturbation theory, randomness in data, and a host of other topics Features numerous exercises throughout Ideal for students and researchers alike an online illustration package is available to professors

Keywords

Geophysics --- Cosmic physics --- Physics --- Space sciences --- Mathematics. --- Analytical mechanics. --- Applied mathematics. --- Atmospheric physics. --- Bessel function. --- Bifurcation theory. --- Calculation. --- Calculus of variations. --- Cartesian coordinate system. --- Cauchy's theorem (geometry). --- Celestial mechanics. --- Central limit theorem. --- Chaos theory. --- Classical electromagnetism. --- Classical mechanics. --- Classical physics. --- Convolution theorem. --- Deformation (mechanics). --- Degeneracy (mathematics). --- Diagram (category theory). --- Differential equation. --- Drag (physics). --- Earth science. --- Eigenvalues and eigenvectors. --- Einstein notation. --- Elliptic integral. --- Elliptic orbit. --- Equation. --- Expectation value (quantum mechanics). --- Figure of the Earth. --- Forcing function (differential equations). --- Fourier series. --- Fourier transform. --- Fractal dimension. --- Function (mathematics). --- Gaussian function. --- Geochemistry. --- Geochronology. --- Geodesics in general relativity. --- Geometry. --- Geophysics. --- Gravitational acceleration. --- Gravitational constant. --- Gravitational potential. --- Gravitational two-body problem. --- Hamiltonian mechanics. --- Handbook of mathematical functions. --- Harmonic oscillator. --- Helmholtz equation. --- Hilbert transform. --- Hyperbolic partial differential equation. --- Integral equation. --- Isotope geochemistry. --- Lagrangian (field theory). --- Laplace transform. --- Laplace's equation. --- Laws of thermodynamics. --- Limit (mathematics). --- Line (geometry). --- Lorenz system. --- Mathematical analysis. --- Mathematical geophysics. --- Mathematical physics. --- Newton's law of universal gravitation. --- Newton's laws of motion. --- Newton's method. --- Newtonian dynamics. --- Numerical analysis. --- Numerical integration. --- Operator (physics). --- Orbit. --- Orbital resonance. --- Parseval's theorem. --- Partial differential equation. --- Perturbation theory (quantum mechanics). --- Perturbation theory. --- Planetary body. --- Planetary science. --- Poisson's equation. --- Pole (complex analysis). --- Proportionality (mathematics). --- Quantum mechanics. --- Rotation (mathematics). --- Satellite geodesy. --- Scalar (physics). --- Scientific notation. --- Separatrix (mathematics). --- Sign (mathematics). --- Space physics. --- Statistical mechanics. --- Stokes' theorem. --- Three-dimensional space (mathematics). --- Transformation geometry. --- Trapezoidal rule. --- Truncation error (numerical integration). --- Two-dimensional space. --- Van der Pol oscillator. --- Variable (mathematics). --- Vector space. --- Wave equation.


Book
Stationary Processes and Prediction Theory. (AM-44), Volume 44
Author:
ISBN: 1400881609 Year: 2016 Publisher: Princeton, NJ : Princeton University Press,

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The description for this book, Stationary Processes and Prediction Theory. (AM-44), Volume 44, will be forthcoming.

Keywords

Stochastic processes. --- Mathematical statistics. --- Abelian group. --- Adjoint equation. --- Almost periodic function. --- Almost surely. --- Automorphism. --- C*-algebra. --- Cartesian product. --- Character group. --- Characteristic function (probability theory). --- Coefficient. --- Commutative property. --- Complex number. --- Conditional expectation. --- Conditional probability. --- Continuous function (set theory). --- Continuous function. --- Corollary. --- Coset. --- Counterexample. --- Degeneracy (mathematics). --- Dimension (vector space). --- Dimensional analysis. --- Distribution function. --- Eigenvalues and eigenvectors. --- Endomorphism. --- Equation. --- Equivalence class. --- Equivalence relation. --- Ergodic process. --- Ergodic sequence. --- Ergodic theory. --- Ergodicity. --- Error term. --- Estimation. --- Euclidean space. --- Eventually (mathematics). --- Existence theorem. --- Existential quantification. --- Expectation value (quantum mechanics). --- Extrapolation. --- Fourier series. --- Fubini's theorem. --- Function (mathematics). --- Function composition. --- Functional equation. --- Generic point. --- Harmonic analysis. --- Hilbert space. --- Homeomorphism. --- Homomorphism. --- Identity element. --- Independence (probability theory). --- Inverse function. --- Invertible matrix. --- Least squares. --- Lebesgue measure. --- Limit (mathematics). --- Linear combination. --- Linear map. --- Linear prediction. --- Linear space (geometry). --- Markov chain. --- Metric space. --- Nonlinear system. --- Nonnegative matrix. --- Normed algebra. --- Parameter. --- Periodic sequence. --- Pointwise. --- Predictability. --- Prediction. --- Probability distribution. --- Probability measure. --- Probability space. --- Probability. --- Quotient space (topology). --- Random sequence. --- Random variable. --- Regular sequence. --- Sample space. --- Semigroup. --- Sequence space. --- Sequence. --- Shift operator. --- Sign (mathematics). --- Special case. --- Stationary process. --- Stochastic process. --- Stochastic. --- Subalgebra. --- Subgroup. --- Subsequence. --- Subset. --- Theorem. --- Time series. --- Topology. --- Uniform convergence. --- Variable (mathematics). --- Weak topology. --- Zorn's lemma.

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