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Collection Selected lectures in mathematics
- Editeur : American Mathematical Society
- ISSN : pas d'ISSN
Documents disponibles dans la collection
Affiner la recherche Interroger des sources externesModular elliptic curves and Fermat's last theorem (Cop. 1993) / Kenneth A. RIBET
Titre : Modular elliptic curves and Fermat's last theorem Type de document : document projeté ou vidéo Auteurs : Kenneth A. RIBET, Auteur Editeur : Providence, R. I. [Etats Unis] : American Mathematical Society Année de publication : Cop. 1993 Collection : Selected lectures in mathematics Présentation : 1 cassette vidéo (VHS) (1 h 40 mn) : (PAL), sonore ISBN/ISSN/EAN : 978-0-8218-8087-6 Langues : Anglais (eng) Mots-clés : courbes elliptique modulaire Résumé : In 1637, Pierre de Fermat wrote his legendary marginal comment that xn+yn=zn has no solution in positive integers when n?3. Fermat's Last Theorem has eluded proof over the centuries, stimulating a great deal of mathematical development. In 1993, Andrew Wiles announced his proof of this celebrated theorem. Wiles's main result, a special case of the Taniyama Conjecture, relies on a wide range of mathematical tools developed over the past ten years. A crucial link was a 1986 theorem that the Taniyama Conjecture implies Fermat's Last Theorem, proved by Kenneth Ribet, who gives the two lectures on this videotape. Presented just weeks after Wiles's now-historic announcement, these expository lectures describe the main ingredients in Wiles's results. The lectures would be accessible to advanced undergraduates and graduate students with some background in algebra and number theory.
Modular elliptic curves and Fermat's last theorem [document projeté ou vidéo] / Kenneth A. RIBET, Auteur . - American Mathematical Society, Cop. 1993 . - : 1 cassette vidéo (VHS) (1 h 40 mn) : (PAL), sonore. - (Selected lectures in mathematics) .
ISBN : 978-0-8218-8087-6
Langues : Anglais (eng)
Mots-clés : courbes elliptique modulaire Résumé : In 1637, Pierre de Fermat wrote his legendary marginal comment that xn+yn=zn has no solution in positive integers when n?3. Fermat's Last Theorem has eluded proof over the centuries, stimulating a great deal of mathematical development. In 1993, Andrew Wiles announced his proof of this celebrated theorem. Wiles's main result, a special case of the Taniyama Conjecture, relies on a wide range of mathematical tools developed over the past ten years. A crucial link was a 1986 theorem that the Taniyama Conjecture implies Fermat's Last Theorem, proved by Kenneth Ribet, who gives the two lectures on this videotape. Presented just weeks after Wiles's now-historic announcement, these expository lectures describe the main ingredients in Wiles's results. The lectures would be accessible to advanced undergraduates and graduate students with some background in algebra and number theory.
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Code-barres Cote Support Localisation Section Disponibilité 15729 V 16 Cassette Vidéo Recherche Compactus Disponible Introduction to geometric probability (Cop. 1997) / Gian-Carlo ROTA
Titre : Introduction to geometric probability Type de document : document projeté ou vidéo Auteurs : Gian-Carlo ROTA, Auteur Editeur : Providence, R. I. [Etats Unis] : American Mathematical Society Année de publication : Cop. 1997 Collection : Selected lectures in mathematics Présentation : 1 cassette vidéo (VHS) (1 h) : (PAL), sonore ISBN/ISSN/EAN : 978-0-8218-1351-5 Langues : Anglais (eng) Mots-clés : mesure invariante volume intrinsèque caractéristique d'Euler Résumé : This lecture examines the notion of invariant measure from a fresh viewpoint. The most familiar examples of invariant measures are area and volume, which are invariant under the group of rigid motions. Master expositor Gian-Carlo Rota shows how, starting with a few simple axioms, one can concoct new invariant measures and explore their properties. One set of such measures, known as the intrinsic volumes, are quite new and still somewhat mysterious. However, they have intriguing probabilistic interpretations and in fact can be shown to form a basis for the space of all continuous invariant measures. Rota also discusses the remarkable connection between the intrinsic volumes and the Euler characteristic. Reaching deep ideas while remaining at an elementary level, this lecture would be accessible to undergraduate mathematics majors. Introduction to geometric probability [document projeté ou vidéo] / Gian-Carlo ROTA, Auteur . - American Mathematical Society, Cop. 1997 . - : 1 cassette vidéo (VHS) (1 h) : (PAL), sonore. - (Selected lectures in mathematics) .
ISBN : 978-0-8218-1351-5
Langues : Anglais (eng)
Mots-clés : mesure invariante volume intrinsèque caractéristique d'Euler Résumé : This lecture examines the notion of invariant measure from a fresh viewpoint. The most familiar examples of invariant measures are area and volume, which are invariant under the group of rigid motions. Master expositor Gian-Carlo Rota shows how, starting with a few simple axioms, one can concoct new invariant measures and explore their properties. One set of such measures, known as the intrinsic volumes, are quite new and still somewhat mysterious. However, they have intriguing probabilistic interpretations and in fact can be shown to form a basis for the space of all continuous invariant measures. Rota also discusses the remarkable connection between the intrinsic volumes and the Euler characteristic. Reaching deep ideas while remaining at an elementary level, this lecture would be accessible to undergraduate mathematics majors. Réservation
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Code-barres Cote Support Localisation Section Disponibilité 16300 V 18 Cassette Vidéo Recherche Compactus Disponible Wavelets making waves in mathematics and engineering (Cop. 1993) / Ingrid DAUBECHIES
Titre : Wavelets making waves in mathematics and engineering : Baltimore, Maryland - january, 1992 Type de document : document projeté ou vidéo Auteurs : Ingrid DAUBECHIES, Auteur Editeur : Providence, R. I. [Etats Unis] : American Mathematical Society Année de publication : Cop. 1993 Collection : Selected lectures in mathematics Présentation : 1 cassette vidéo (VHS) (1h 30mn) : coul., (PAL), sonore ISBN/ISSN/EAN : 978-0-8218-8082-1 Langues : Anglais (eng) Mots-clés : ondelette Résumé : Combining an informal interview and an introductory-level lecture on wavelets, this video makes an excellent classroom enrichment tool, as well as fascinating viewing for those interested in this cutting-edge topic. The interview portion contributes an engaging personal flavor as Daubechies covers some of the most important applications of wavelets. She also discusses how she became interested in mathematics and the challenges of balancing a family and a demanding career. In the lecture, Daubechies, one of the world's leading experts in wavelets, describes some of the important developments in the theory. Starting from basic definitions and presenting a clear and well-paced lecture, Daubechies makes the subject accessible to undergraduate mathematics majors. Wavelets making waves in mathematics and engineering : Baltimore, Maryland - january, 1992 [document projeté ou vidéo] / Ingrid DAUBECHIES, Auteur . - American Mathematical Society, Cop. 1993 . - : 1 cassette vidéo (VHS) (1h 30mn) : coul., (PAL), sonore. - (Selected lectures in mathematics) .
ISBN : 978-0-8218-8082-1
Langues : Anglais (eng)
Mots-clés : ondelette Résumé : Combining an informal interview and an introductory-level lecture on wavelets, this video makes an excellent classroom enrichment tool, as well as fascinating viewing for those interested in this cutting-edge topic. The interview portion contributes an engaging personal flavor as Daubechies covers some of the most important applications of wavelets. She also discusses how she became interested in mathematics and the challenges of balancing a family and a demanding career. In the lecture, Daubechies, one of the world's leading experts in wavelets, describes some of the important developments in the theory. Starting from basic definitions and presenting a clear and well-paced lecture, Daubechies makes the subject accessible to undergraduate mathematics majors. Réservation
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Code-barres Cote Support Localisation Section Disponibilité 16030 V 30 Cassette Vidéo Recherche Compactus Disponible