Ruelle, DavidOverview
Most widely held works by
David Ruelle
Chance and chaos
by David Ruelle
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Book
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39 editions published between 1991 and 2010 in English and French and held by 1,423 WorldCat member libraries worldwide
Statistical mechanics : rigorous results
by David Ruelle
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Book
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46 editions published between 1969 and 2007 in English and Undetermined and held by 722 WorldCat member libraries worldwide This classic book marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. Its treatment of the infinite system limit has not been superseded, and the discussion of thermodynamic functions and states remains basic for more recent work. The conceptual foundation provided by the Rigorous Results remains invaluable for the study of the spectacular developments of statistical mechanics in the second half of the 20th century
Chaotic evolution and strange attractors : the statistical analysis of time series for deterministic nonlinear systems
by David Ruelle
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Book
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23 editions published between 1987 and 2003 in English and held by 681 WorldCat member libraries worldwide
Elements of differentiable dynamics and bifurcation theory
by David Ruelle
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Book
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15 editions published between 1988 and 1990 in English and Italian and held by 640 WorldCat member libraries worldwide This book provides a rigorous introduction to differentiable dynamicsthe mathematical theory underlying chaos and strange attractors. These and related concepts have come to play a key role in physics with the theory of hydrodynamic turbulence, in the natural sciences of meteorology and ecology, and in economics. The basic concepts of differentiable dynamics are presented as they apply to natural phenomena, emphasizing infinite dimensional systems, noninvertible maps, attractors, and bifurcation theory. The book also includes a series of detailed problems as well as appendices that provide both general references and advanced information
The mathematician's brain
by David Ruelle
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Book
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10 editions published in 2007 in English and held by 609 WorldCat member libraries worldwide The Mathematician's Brain poses a provocative question about the world's most brilliant yet eccentric mathematical minds: were they brilliant because of their eccentricities or in spite of them? In this book, David Ruelle, the mathematical physicist who helped create chaos theory, gives us an insider's account of the celebrated mathematicians he has knowntheir quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the sublime, inexpressible beauty of their most breathtaking mathematical discoveries. Ruelle holds nothing back in his revealing and deeply personal reflections on mathematicians such as Alan Turing, Alexander Grothendieck, Rene Thom, Bernhard Riemann, and Felix Klein. Each chapter examines an important mathematical idea and the visionary minds behind it. Ruelle explores the philosophical issues raised by each, offering insights into the truly unique and creative ways mathematicians think and showing how the mathematical setting is most favorable for asking philosophical questions about meaning, beauty, and the nature of reality
Thermodynamic formalism : the mathematical structures of classical equilibrium statistical mechanics
by David Ruelle
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Book
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19 editions published between 1976 and 2004 in English and Undetermined and held by 593 WorldCat member libraries worldwide
Thermodynamic formalism : the mathematical structures of equilibrium statistical mechanics
by David Ruelle
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Book
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7 editions published in 2004 in English and held by 217 WorldCat member libraries worldwide Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics. The level of the presentation is generally advanced, the objective being to provide an efficient research tool and a text for use in graduate teaching. Background material on mathematics has been collected in appendices to help the reader. Extra material is given in the form of updates of problems that were open at the original time of writing and as a new preface specially written for this new edition by the author
Dynamical zeta functions for piecewise monotone maps of the interval
by David Ruelle
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Book
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11 editions published between 994 and 2004 in English and held by 215 WorldCat member libraries worldwide
Zufall und Chaos
by David Ruelle
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Book
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11 editions published between 1992 and 2012 in German and held by 188 WorldCat member libraries worldwide
Turbulence, strange attractors, and chaos
by David Ruelle
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Book
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9 editions published in 1995 in English and Undetermined and held by 164 WorldCat member libraries worldwide
Statistical mechanics and dynamical systems
by David Ruelle
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Book
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10 editions published in 1977 in English and held by 137 WorldCat member libraries worldwide
Wie Mathematiker ticken Geniale Köpfe  ihre Gedankenwelt und ihre größten Erkenntnisse
by David Ruelle
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5 editions published in 2010 in German and held by 118 WorldCat member libraries worldwide
International Conference on Dynamical Systems in Mathematical Physics, Rennes, 1975, Sept. 1421
by International Conference on Dynamical Systems in Mathematical Physics
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Book
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6 editions published between 1975 and 1976 in English and French and held by 112 WorldCat member libraries worldwide
L'étrange beauté des mathématiques
by David Ruelle
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Book
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5 editions published between 2008 and 2011 in French and held by 79 WorldCat member libraries worldwide
Lectures in modern analysis and applications II
by James Glimm
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3 editions published in 1970 in English and held by 25 WorldCat member libraries worldwide
Caso e caos
by David Ruelle
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Book
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3 editions published between 1992 and 1998 in Italian and held by 23 WorldCat member libraries worldwide
Azar y caos
by David Ruelle
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Book
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3 editions published between 1993 and 1995 in Spanish and held by 22 WorldCat member libraries worldwide
Equilibrium states and the ergodic theory of Anosov diffeomorphisms
by Rufus Bowen
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Book
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3 editions published in 2008 in English and held by 17 WorldCat member libraries worldwide
De wetten van toeval en chaos : kleine oorzaken en grote gevolgen in de moderne natuurwetenschappen
by David Ruelle
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Book
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1 edition published in 1993 in Dutch and held by 17 WorldCat member libraries worldwide
Hausdorff dimension of quasicircles. Ergodic theory of differentiable dynamical systems / by David Ruelle [u.a.]
by Rufus Bowen
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Book
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4 editions published in 1979 in English and held by 13 WorldCat member libraries worldwide more
fewer
Audience Level
Related Identities
Associated Subjects
Anosov diffeomorphisms Attractors (Mathematics) Bifurcation theory Cell aggregationMathematics Chance Chaotic behavior in systems Diffeomorphisms Differentiable dynamical systems Distribution (Probability theory) Dynamics Entropy Ergodic theory Fuchsian groups Functional analysis Functions, Zeta Hausdorff measures Hyperbolic spaces Lattice theory Mappings (Mathematics) Mathematical analysis Mathematical physics MathematiciansPsychology Mathematics MathematicsPhilosophy Monotone operators Nonlinear theories Phase transformations (Statistical physics) Probabilities Statistical mechanics Stochastic processes Thermodynamics Turbulence

Alternative Names
Ri︠u︡ėlʹ, D. (David)
Rjuėl', D. 1935
Rûèl', D.
Ruelle, D. 1935
Ruelle, D. (David)
Рюэль, Д. (Дэвид)
دافيد رويل، 1935
ルエール, D
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