Ruelle, David
Overview
Works:  148 works in 464 publications in 5 languages and 6,784 library holdings 

Genres:  Popular works Conference papers and proceedings History 
Roles:  Author, Author of introduction, Editor, coo, pre 
Classifications:  QA614.8, 515.35 
Publication Timeline
.
Most widely held works by
David Ruelle
Chance and chaos by
David Ruelle(
Book
)
22 editions published between 1991 and 1993 in English and held by 1,157 WorldCat member libraries worldwide
22 editions published between 1991 and 1993 in English and held by 1,157 WorldCat member libraries worldwide
Statistical mechanics : rigorous results by
David Ruelle(
Book
)
66 editions published between 1900 and 2015 in English and Undetermined and held by 750 WorldCat member libraries worldwide
CHAPTER 3 THE THERMODYNAMIC LIMIT FOR THERMODYNAMIC FUNCTIONS: CONTINUOUS SYSTEMS3.1 INTERACTIONS OF CLASSICAL CONTINUOUS SYSTEMS; 3.2 STABLE INTERACTIONS; 3.3 THERMODYNAMIC LIMIT FOR THE CONFIGURATIONAL MICROCANONICAL ENSEMBLE; 3.4 THERMODYNAMIC LIMIT FOR THE CLASSICAL ENSEMBLES; 3.5 THERMODYNAMIC LIMIT FOR THE QUANTUM ENSEMBLES; BIBLIOGRAPHICAL NOTE; EXERCISES; CHAPTER 4 LOW DENSITY EXPANSIONS AND CORRELATION FUNCTIONS; 4.1 DEFINITIONS; 4.2 THE METHOD OF INTEGRAL EQUATIONS; 4.3 MAYER SERIES AND VIRIAL EXPANSION; 4.4 THE ALGEBRAIC METHOD; 4.5 POSITIVE POTENTIALS; 4.6 QUANTUM SYSTEMS
66 editions published between 1900 and 2015 in English and Undetermined and held by 750 WorldCat member libraries worldwide
CHAPTER 3 THE THERMODYNAMIC LIMIT FOR THERMODYNAMIC FUNCTIONS: CONTINUOUS SYSTEMS3.1 INTERACTIONS OF CLASSICAL CONTINUOUS SYSTEMS; 3.2 STABLE INTERACTIONS; 3.3 THERMODYNAMIC LIMIT FOR THE CONFIGURATIONAL MICROCANONICAL ENSEMBLE; 3.4 THERMODYNAMIC LIMIT FOR THE CLASSICAL ENSEMBLES; 3.5 THERMODYNAMIC LIMIT FOR THE QUANTUM ENSEMBLES; BIBLIOGRAPHICAL NOTE; EXERCISES; CHAPTER 4 LOW DENSITY EXPANSIONS AND CORRELATION FUNCTIONS; 4.1 DEFINITIONS; 4.2 THE METHOD OF INTEGRAL EQUATIONS; 4.3 MAYER SERIES AND VIRIAL EXPANSION; 4.4 THE ALGEBRAIC METHOD; 4.5 POSITIVE POTENTIALS; 4.6 QUANTUM SYSTEMS
Chaotic evolution and strange attractors : the statistical analysis of time series for deterministic nonlinear systems by
David Ruelle(
Book
)
27 editions published between 1987 and 2003 in English and held by 694 WorldCat member libraries worldwide
27 editions published between 1987 and 2003 in English and held by 694 WorldCat member libraries worldwide
Elements of differentiable dynamics and bifurcation theory by
David Ruelle(
Book
)
19 editions published between 1988 and 2014 in English and Italian and held by 659 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
19 editions published between 1988 and 2014 in English and Italian and held by 659 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(
Book
)
13 editions published in 2007 in English and held by 623 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
13 editions published in 2007 in English and held by 623 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(
Book
)
23 editions published between 1978 and 1984 in English and Undetermined and held by 602 WorldCat member libraries worldwide
23 editions published between 1978 and 1984 in English and Undetermined and held by 602 WorldCat member libraries worldwide
Dynamical zeta functions for piecewise monotone maps of the interval by
David Ruelle(
Book
)
15 editions published between 994 and 2004 in English and held by 236 WorldCat member libraries worldwide
15 editions published between 994 and 2004 in English and held by 236 WorldCat member libraries worldwide
Zufall und Chaos by
David Ruelle(
Book
)
9 editions published between 1992 and 1994 in German and French and held by 216 WorldCat member libraries worldwide
9 editions published between 1992 and 1994 in German and French and held by 216 WorldCat member libraries worldwide
Thermodynamic formalism : the mathematical structures of equilibrium statistical mechanics by
David Ruelle(
Book
)
11 editions published in 2004 in English and held by 211 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
11 editions published in 2004 in English and held by 211 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
Hasard et chaos by
David Ruelle(
Book
)
9 editions published between 1991 and 1999 in French and held by 153 WorldCat member libraries worldwide
9 editions published between 1991 and 1999 in French and held by 153 WorldCat member libraries worldwide
Statistical mechanics and dynamical systems by
David Ruelle(
Book
)
12 editions published in 1977 in English and held by 143 WorldCat member libraries worldwide
12 editions published in 1977 in English and held by 143 WorldCat member libraries worldwide
Turbulence, strange attractors, and chaos(
Book
)
2 editions published in 1995 in English and held by 136 WorldCat member libraries worldwide
The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications. Several of the papers reproduced here are classics in the field. Others (that were published in less accessible places) may still surprise the reader. The collection contains mathematical articles relevant to chaos, specific articles on the theory, and articles on applications to hydrodynamical turbulence, chemical oscillations, etc. A sound judgment of the value of techniques and applications is crucial in the interdisciplinary field of chaos. For a critical assessment of what has been achieved in this area, the present volume is an invaluable contribution
2 editions published in 1995 in English and held by 136 WorldCat member libraries worldwide
The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications. Several of the papers reproduced here are classics in the field. Others (that were published in less accessible places) may still surprise the reader. The collection contains mathematical articles relevant to chaos, specific articles on the theory, and articles on applications to hydrodynamical turbulence, chemical oscillations, etc. A sound judgment of the value of techniques and applications is crucial in the interdisciplinary field of chaos. For a critical assessment of what has been achieved in this area, the present volume is an invaluable contribution
International Conference on Dynamical Systems in Mathematical Physics, Rennes, 1975, Sept. 1421 by International conference on dynamical system in mathematical physics(
Book
)
8 editions published between 1975 and 1976 in 3 languages and held by 112 WorldCat member libraries worldwide
8 editions published between 1975 and 1976 in 3 languages and held by 112 WorldCat member libraries worldwide
Hasard et chaos by
David Ruelle(
Book
)
10 editions published between 1991 and 2010 in French and held by 108 WorldCat member libraries worldwide
10 editions published between 1991 and 2010 in French and held by 108 WorldCat member libraries worldwide
L'étrange beauté des mathématiques by
David Ruelle(
Book
)
6 editions published between 2008 and 2011 in French and held by 79 WorldCat member libraries worldwide
6 editions published between 2008 and 2011 in French and held by 79 WorldCat member libraries worldwide
Caso e caos by
David Ruelle(
Book
)
6 editions published between 1992 and 2013 in Italian and held by 52 WorldCat member libraries worldwide
6 editions published between 1992 and 2013 in Italian and held by 52 WorldCat member libraries worldwide
Wie Mathematiker ticken : geniale Köpfe  ihre Gedankenwelt und ihre grössten Erkenntnisse by
David Ruelle(
Book
)
7 editions published in 2010 in German and held by 38 WorldCat member libraries worldwide
7 editions published in 2010 in German and held by 38 WorldCat member libraries worldwide
Azar y caos by
David Ruelle(
Book
)
4 editions published between 1993 and 1995 in Spanish and held by 31 WorldCat member libraries worldwide
4 editions published between 1993 and 1995 in Spanish and held by 31 WorldCat member libraries worldwide
Lectures in modern analysis and applications by
ChoyTak Taam(
Book
)
3 editions published in 1970 in English and held by 27 WorldCat member libraries worldwide
3 editions published in 1970 in English and held by 27 WorldCat member libraries worldwide
El cerebro de los matemáticos by
David Ruelle(
Book
)
4 editions published between 2010 and 2012 in Spanish and held by 9 WorldCat member libraries worldwide
4 editions published between 2010 and 2012 in Spanish and held by 9 WorldCat member libraries worldwide
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Audience Level
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Kids  General  Special 
Related Identities
 Chow, Pao Liu 1937
 Gallavotti, Giovanni Author of introduction Author
 Duke University Mathematics Department
 Keane, M. S. (Michael S.)
 Beiglböck, Wolf Translator
 Segal, I. E.
 HarishChandra
 Gross, L.
 Kadison, R. V.
 Glimm, J. Author
Useful Links
Associated Subjects
Attractors (Mathematics) Bifurcation theory Chance Chaotic behavior in systems Differentiable dynamical systems Dynamics Ergodic theory Functional analysis Functions, Zeta Global analysis (Mathematics) 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
David Ruelle belgischer Physiker und Professor für mathematische Physik
David Ruelle Frans wiskundige
David Ruelle matematico e fisico belga
David Ruelle mathematical physicist
David Ruelle physicien francobelge
Ri︠u︡ėlʹ, D.
Ri︠u︡ėlʹ, D. (David)
Rjuėl', D. 1935
Rûèl', D.
Ruelle, D.
Ruelle, D. 1935
Ruelle, D. (David)
Ruelle, David
Давид Риел белгискофранцуски математички физичар
Рюэль, Д
Рюэль, Д. (Дэвид)
Рюэль, Давид
دافيد رويل، 1935
ديفيد رول
دیوید روئل
다비드 뤼엘
ダヴィッド・ルエール
ルエール, D
大卫·卢埃尔
大衛·呂埃勒
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