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Affiner la recherche Interroger des sources externesComplex analysis (Cop. 2003) / Elias M. STEIN
Titre : Complex analysis Type de document : texte imprimé Auteurs : Elias M. STEIN, Auteur ; Rami SHAKARCHI, Auteur Editeur : Princeton : Princeton University Press Année de publication : Cop. 2003 Collection : Princeton Lectures in Analysis num. II Importance : XVII-379 p. ISBN/ISSN/EAN : 978-0-691-11385-2 Langues : Anglais (eng) Mots-clés : analyse complexe Résumé : With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle.
With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory.Note de contenu : index, glossaire, bibliogr. Complex analysis [texte imprimé] / Elias M. STEIN, Auteur ; Rami SHAKARCHI, Auteur . - Princeton University Press, Cop. 2003 . - XVII-379 p.. - (Princeton Lectures in Analysis; II) .
ISBN : 978-0-691-11385-2
Langues : Anglais (eng)
Mots-clés : analyse complexe Résumé : With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle.
With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory.Note de contenu : index, glossaire, bibliogr. Réservation
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Code-barres Cote Support Localisation Section Disponibilité 21698 STE/33/10108 Livre Recherche Salle Disponible Real analysis (Cop. 2005) / Elias M. STEIN
Titre : Real analysis : measure theory, integration, and Hilbert spaces Type de document : texte imprimé Auteurs : Elias M. STEIN, Auteur ; Rami SHAKARCHI, Auteur Editeur : Princeton : Princeton University Press Année de publication : Cop. 2005 Collection : Princeton Lectures in Analysis num. III Importance : XIX-402 p. ISBN/ISSN/EAN : 978-0-691-11386-9 Langues : Anglais (eng) Mots-clés : analyse réelle théorie de la mesure intégration espace de Hilbert Note de contenu : index, glossaire, bibliogr. Real analysis : measure theory, integration, and Hilbert spaces [texte imprimé] / Elias M. STEIN, Auteur ; Rami SHAKARCHI, Auteur . - Princeton University Press, Cop. 2005 . - XIX-402 p.. - (Princeton Lectures in Analysis; III) .
ISBN : 978-0-691-11386-9
Langues : Anglais (eng)
Mots-clés : analyse réelle théorie de la mesure intégration espace de Hilbert Note de contenu : index, glossaire, bibliogr. Réservation
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Code-barres Cote Support Localisation Section Disponibilité 21699 STE/28/10109 Livre Recherche Salle Disponible Functional analysis (Cop. 2011) / Elias M. STEIN
Titre : Functional analysis : introduction to further topics analysis Type de document : texte imprimé Auteurs : Elias M. STEIN, Auteur ; Rami SHAKARCHI, Auteur Editeur : Princeton : Princeton University Press Année de publication : Cop. 2011 Collection : Princeton Lectures in Analysis num. IV Importance : XV-423 p. ISBN/ISSN/EAN : 978-0-691-11387-6 Langues : Anglais (eng) Mots-clés : analyse fonctionelle Note de contenu : index, glossaire, bibliogr. Functional analysis : introduction to further topics analysis [texte imprimé] / Elias M. STEIN, Auteur ; Rami SHAKARCHI, Auteur . - Princeton University Press, Cop. 2011 . - XV-423 p.. - (Princeton Lectures in Analysis; IV) .
ISBN : 978-0-691-11387-6
Langues : Anglais (eng)
Mots-clés : analyse fonctionelle Note de contenu : index, glossaire, bibliogr. Réservation
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Code-barres Cote Support Localisation Section Disponibilité 21700 STE/46/10110 Livre Recherche Salle Disponible
Titre : The classical and quantum 6j-symbols Type de document : texte imprimé Auteurs : J. Scott CARTER, Auteur ; Daniel E. FLATH, Auteur ; Masahico SAITO, Auteur Editeur : Princeton : Princeton University Press Année de publication : Cop. 1995 Collection : Mathematical notes num. 43 Importance : IX-164 p. ISBN/ISSN/EAN : 978-0-691-02730-2 Langues : Anglais (eng) Mots-clés : groupe quantique représentation de groupe Résumé : Addressing physicists and mathematicians alike, this book discusses the finite dimensional representation theory of sl(2), both classical and quantum. Covering representations of U(sl(2)), quantum sl(2), the quantum trace and color representations, and the Turaev-Viro invariant, this work is useful to graduate students and professionals.
The classic subject of representations of U(sl(2)) is equivalent to the physicists' theory of quantum angular momentum. This material is developed in an elementary way using spin-networks and the Temperley-Lieb algebra to organize computations that have posed difficulties in earlier treatments of the subject. The emphasis is on the 6j-symbols and the identities among them, especially the Biedenharn-Elliott and orthogonality identities. The chapter on the quantum group Uq(sl(2)) develops the representation theory in strict analogy with the classical case, wherein the authors interpret the Kauffman bracket and the associated quantum spin-networks algebraically. The authors then explore instances where the quantum parameter q is a root of unity, which calls for a representation theory of a decidedly different flavor. The theory in this case is developed, modulo the trace zero representations, in order to arrive at a finite theory suitable for topological applications. The Turaev-Viro invariant for 3-manifolds is defined combinatorially using the theory developed in the preceding chapters. Since the background from the classical, quantum, and quantum root of unity cases has been explained thoroughly, the definition of this invariant is completely contained and justified within the text.Note de contenu : références En ligne : http://fr.scribd.com/doc/4227/The-Classical-and-Quantum-6jSymbols-By-Carter-Flat [...] The classical and quantum 6j-symbols [texte imprimé] / J. Scott CARTER, Auteur ; Daniel E. FLATH, Auteur ; Masahico SAITO, Auteur . - Princeton University Press, Cop. 1995 . - IX-164 p.. - (Mathematical notes; 43) .
ISBN : 978-0-691-02730-2
Langues : Anglais (eng)
Mots-clés : groupe quantique représentation de groupe Résumé : Addressing physicists and mathematicians alike, this book discusses the finite dimensional representation theory of sl(2), both classical and quantum. Covering representations of U(sl(2)), quantum sl(2), the quantum trace and color representations, and the Turaev-Viro invariant, this work is useful to graduate students and professionals.
The classic subject of representations of U(sl(2)) is equivalent to the physicists' theory of quantum angular momentum. This material is developed in an elementary way using spin-networks and the Temperley-Lieb algebra to organize computations that have posed difficulties in earlier treatments of the subject. The emphasis is on the 6j-symbols and the identities among them, especially the Biedenharn-Elliott and orthogonality identities. The chapter on the quantum group Uq(sl(2)) develops the representation theory in strict analogy with the classical case, wherein the authors interpret the Kauffman bracket and the associated quantum spin-networks algebraically. The authors then explore instances where the quantum parameter q is a root of unity, which calls for a representation theory of a decidedly different flavor. The theory in this case is developed, modulo the trace zero representations, in order to arrive at a finite theory suitable for topological applications. The Turaev-Viro invariant for 3-manifolds is defined combinatorially using the theory developed in the preceding chapters. Since the background from the classical, quantum, and quantum root of unity cases has been explained thoroughly, the definition of this invariant is completely contained and justified within the text.Note de contenu : références En ligne : http://fr.scribd.com/doc/4227/The-Classical-and-Quantum-6jSymbols-By-Carter-Flat [...] Réservation
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Code-barres Cote Support Localisation Section Disponibilité 21856 CAR/20/10259 Livre Recherche Salle Disponible The little book of string theory (Cop. 2010) / Steven S. GUBSER
Titre : The little book of string theory Type de document : texte imprimé Auteurs : Steven S. GUBSER, Auteur Editeur : Princeton : Princeton University Press Année de publication : Cop. 2010 Collection : Science essentials Importance : 174 p. Présentation : ill. ISBN/ISSN/EAN : 978-0-691-14289-0 Langues : Anglais (eng) Mots-clés : théorie des cordes Résumé : "The Little Book of String Theory offers a short, accessible, and entertaining introduction to one of the most talked-about areas of physics today. String theory has been called the "theory of everything." It seeks to describe all the fundamental forces of nature. It encompasses gravity and quantum mechanics in one unifying theory. But it is unproven and fraught with controversy. After reading this book, you'll be able to draw your own conclusions about string theory." Note de contenu : index The little book of string theory [texte imprimé] / Steven S. GUBSER, Auteur . - Princeton University Press, Cop. 2010 . - 174 p. : ill.. - (Science essentials) .
ISBN : 978-0-691-14289-0
Langues : Anglais (eng)
Mots-clés : théorie des cordes Résumé : "The Little Book of String Theory offers a short, accessible, and entertaining introduction to one of the most talked-about areas of physics today. String theory has been called the "theory of everything." It seeks to describe all the fundamental forces of nature. It encompasses gravity and quantum mechanics in one unifying theory. But it is unproven and fraught with controversy. After reading this book, you'll be able to draw your own conclusions about string theory." Note de contenu : index Réservation
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Code-barres Cote Support Localisation Section Disponibilité 22039 GUB/96/10322 Livre Recherche Salle Disponible The topology of fibre bundles (1951) / Norman STEENROD
PermalinkA primer on mapping class groups (Cop. 2012) / Benson FARB
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