Détail d'une collection
Encyclopedia of Mathematics and its Applications
Editeur :
ISSN :
pas d'ISSN
|
Documents disponibles dans la collection (3)



Titre : Introduction to the modern theory of dynamycal systems Type de document : texte imprimé Auteurs : A. Katok, Auteur ; B. Hasselblatt, Auteur Editeur : Cambridge : Cambridge University Press Année de publication : 1995 Collection : Encyclopedia of Mathematics and its Applications num. 54 Importance : XVIII-802 p. Présentation : Broché. Couv.ill.en coul., graph. Format : 24 cm ISBN/ISSN/EAN : 978-0-521-57557-7 Langues : Anglais (eng) Catégories : (05.40) Fluctuations, processus aleatoires et mouvement Brownien Mots-clés : Entropy Markov processes Dynamical systems Index. décimale : 05.40 Résumé : introduction part 1. examples and fundamental concepts 1. first examples 2. equivalence, classification and invariants 3. principal classes of asymptotic topological invariants 4. statistical behavior of orbits and introduction to ergodic theory 5. systems with smooth invariant measures and more examples part 2. local analysis and orbit growth 6. local hyperbolic theory and its applications 7. transversality and genericity 8. orbit growth arising from topology 9. variational aspects of dynamics part 3. low-dimensional phenomena 10 : introduction. what is low-dimensional dynamics ? 11. homeomorphism of the circle 12. circle diffeomorphisms 13. twist maps 14. flows on surfaces and related dynamical systems 15. continuous maps of the interval 16. smooth maps of the interval part 4. hyperbolic dynamical systems 17. survey of examples 18. topological properties of hyperbolics sets 19. metric structure of hyperbolic sets 20. equilibrium states and smooth invariant measures supplement appendix Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité PQ001423 05.40.36 texte imprimé Bibli FERMI 3R1 RDC Recherche Disponible
Titre : Lattice sums then and now Type de document : texte imprimé Auteurs : Jonathan M. Borwein, Auteur ; M.L. Glasser, Auteur ; R.C. McPhedran, Auteur Editeur : Cambridge : Cambridge University Press Année de publication : 2013 Collection : Encyclopedia of Mathematics and its Applications Importance : XIX-368 p. Présentation : Relie, couv.ill en coul, graph Format : 24 cm ISBN/ISSN/EAN : 978-1-107-03990-2 Langues : Anglais (eng) Catégories : (61.00) Structure (non-electronique) des solides et de liquides crystallographie Mots-clés : Lattice theory and statistics Optical properties of surfaces Index. décimale : 61.00 Résumé : The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular lattices of atoms (initiated by Lord Rayleigh, Lorentz and Lorenz). For over a century many famous scientists and mathematicians have delved into the properties of lattices, sometimes unwittingly duplicating the work of their predecessors. Here, at last, is a comprehensive overview of the substantial body of knowledge that exists on lattice sums and their applications. The authors also provide commentaries on open questions, and explain modern techniques which simplify the task of finding new results in this fascinating and ongoing field. Lattice sums in one, two, three, four and higher dimensions are covered.
The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular lattices of atoms (initiated by Lord Rayleigh, Lorentz and Lorenz). For over a century many famous scientists and mathematicians have delved into the properties of lattices, sometimes unwittingly duplicating the work of their predecessors. Here, at last, is a comprehensive overview of the substantial body of knowledge that exists on lattice sums and their applications. The authors also provide commentaries on open questions, and explain modern techniques which simplify the task of finding new results in this fascinating and ongoing field. Lattice sums in one, two, three, four and higher dimensions are covered.Note de contenu : 1. Lattice sums. - 2 Convergence of lattice sums and Madelung's constant. - 3 Angular lattice sums. - 4 Use of Dirichlet series with Complex characters. - 5 Lattice sums and Ramanujan's modular equations. - 6 Closed form evaluations of three- and four-dimensional sums. - 7 Electron sums. - 8 Madelung sums in higher dimensions. - 9 : 70 years of the Watson integrals Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité PQ004079 61.00.68 texte imprimé Bibli FERMI 3R4 Recherche Disponible
Titre : Operator albebras in dynamical systems : the theory of unbounded derivations in C*-algebras Type de document : texte imprimé Auteurs : Shôichirô Sakai, Auteur Editeur : Cambridge : Cambridge University Press Année de publication : 1991 Collection : Encyclopedia of Mathematics and its Applications Importance : XI-219 P. Présentation : Relié. Couv. en coul., graph. Format : 23 cm ISBN/ISSN/EAN : 978-0-521-40096-1 Langues : Anglais (eng) Catégories : (02.10) Logique, theorie des ensembles et algebre, theorie des groupes Mots-clés : Dynamical systems Operator theory Algebra Index. décimale : 02.10 Résumé : 1- preliminaries 2- bounded derivations 3- unbounded derivations c*-dynamical systems Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité PQ001227 02.10.SAK texte imprimé Bibli FERMI 3R4 Recherche Disponible