Heft 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
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Titelseiten
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Inhaltsverzeichnis
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1
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Titelseiten
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2
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Artikel: PROJECTIVE GEOMETRY OF POLYGONS AND DISCRETE 4-VERTEX AND 6-VERTEX THEOREMS
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Kurzfassung
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Kapitel: 1. Introduction
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Kapitel: 2. Theorems on plane polygons
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Kapitel: 2.1 DISCRETE 4-VERTEX THEOREM
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Kapitel: 2.2 DISCRETE THEOREM ON 6 AFFINE VERTICES
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Kapitel: 2.3 DISCRETE GHYS THEOREM
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Kapitel: 3. Main Theorem
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Kapitel: 3.1 Intersection multiplicities
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Kapitel: 3.2 A SIMPLEX IS STRICTLY CONVEX
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Kapitel: 3.3 BARNER'S THEOREM FOR POLYGONS
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Kapitel: 4. Applications of the main theorem
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Kapitel: 4.1 Proof of Theorems 2.2, 2.6 and 2.10
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Kapitel: 4.2 CONCLUDING REMARKS
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Bibliographie
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18
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Artikel: LATTICES OF COVARIANT QUADRATIC FORMS
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Kapitel: 1. Introduction
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Kapitel: 2. Covariant forms and equivalence
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Kapitel: 3. Autoequivalences and invariants
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Kapitel: 4. EXTRINSIC NOTIONS : USING THE UNDERLYING LATTICE
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34
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Kapitel: 5. Inversion and modularity
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43
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Kapitel: 6. Some three-dimensional lattices of covariant forms
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48
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Bibliographie
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55
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Artikel: ON AN ASSERTION IN RIEMANN'S HABILITATIONSVORTRAG
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57
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Kurzfassung
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57
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Kapitel: 1. Introduction
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57
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Kapitel: 2. An algebraic example
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Kapitel: 3. Curvature zero 2-planes in $S^a \times H^a \times T^b$
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60
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Kapitel: 4. Curvature zero 2-planes in warped products
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Kapitel: 5. CONCLUDING COMMENTS
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Bibliographie
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62
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Artikel: NEW EXAMPLES OF MAXIMAL SURFACES
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Kurzfassung
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65
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Kapitel: 1. Introduction
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Kapitel: 2. Basic properties of simple triangle surfaces
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Kapitel: 3. Geometric properties of systoles of simple triangle surfaces
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Kapitel: 4. Length estimates for systoles
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Kapitel: 5. Proof of the theorem
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Bibliographie
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Artikel: CIRCULANT MODULAR HADAMARD MATRICES
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Kapitel: 1. Introduction
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103
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Kapitel: 2. A FAMILY OF (p – 1)-modular circulant Hadamard matrices of size 4p.
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105
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Kapitel: 3. Circulant modular Hadamard matrices of type 2
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Bibliographie
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114
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Artikel: SYMPLECTIC CHARACTERISTIC CLASSES
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Kurzfassung
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115
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Kapitel: 1. The symplectic group
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115
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Kapitel: 1.1 DEFINITION
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Kapitel: 1.2 A RELATION BETWEEN $U(\frac{p-1}{2})$ AND Sp(p-1,Z)
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Kapitel: 2. Symplectic characteristic classes
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Kapitel: 2.1 Characteristic classes and representations
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Kapitel: 2.2 Symplectic characteristic classes and Chern classes
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Bibliographie
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129
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Artikel: THE POSITIVE CONE OF SPHERES AND SOME PRODUCTS OF SPHERES
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131
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Kurzfassung
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131
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Kapitel: 1. Introduction
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131
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Kapitel: 2. PRELIMINAIRES
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Kapitel: 3. The γ-cone and the c-cone
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Kapitel: 4. The positive cone of the spheres
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Kapitel: 5. FURTHER PROPERTIES OF THE CONES
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Kapitel: 6. The cones of the products $S^n \times S^{2m-1}$
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Kapitel: 7. The γ-cone of $S^{2n} \times S^{2m}$ and the positive cone of $S^2 \times S^{2n}$
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148
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Kapitel: 8. The Whitehead product and the positive cone
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Kapitel: 9. The positive cone of some products of even-dimensional spheres
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Kapitel: 10. "Gaps in cohomology" and the γ-cone
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155
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Kapitel: 11. A "DOUBLING FORMULA" FOR STIRLING NUMBERS OF THE SECOND KIND
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156
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Bibliographie
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159
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Artikel: UNE QUINTIQUE DE GENRE 1 QUI CONTREDIT LE PRINCIPE DE HASSE
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161
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Kapitel: 1. Introduction
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Kapitel: 2. Quintiques planes de genre 1
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Kapitel: 3. Un corps de nombres
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Kapitel: 4. Choix de la courbe
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Kapitel: 5. DÉMONSTRATION DU CAS LOCAL
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Kapitel: 6. DÉMONSTRATION DU CAS GLOBAL
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Kapitel: 7. La jacobienne de C
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Bibliographie
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172
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Rubrik: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION)
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Artikel: RAPPORTS SUR LES ACTIVITÉS DE LA CIEM POUR LES ANNÉES 1999 ET 2000
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Kapitel: 1. À PROPOS DE LA CIEM
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Kapitel: 2. Congrès ICME
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174
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Kapitel: 3. ÉTUDES DE LA CIEM
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Kapitel: 4. Conférences régionales
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Kapitel: 5. Autre activité
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Kapitel: 6. Groupes d'étude affiliés
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Kapitel: 7. Le Programme de solidarité
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Kapitel: 8. Organisation de la Commission
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Kapitel: 9. Informations sur la CIEM
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Anhang: Appendice : Les Études de la CIEM
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Rubrik: INTERNATIONAL SYMPOSIUM «One Hundred Years of L'Enseignement Mathématique: Moments of Mathematics Education in the 20th Century»
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Artikel: REPORT ON THE INTERNATIONAL SYMPOSIUM ORGANISED JOINTLY BY THE UNIVERSITY OF GENEVA AND ICMI (Geneva, 20-22 October 2000)
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Rubrik: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION)
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Kapitel: DISCUSSION DOCUMENT FOR THE THIRTEENTH ICMI STUDY MATHEMATICS EDUCATION IN DIFFERENT CULTURAL TRADITIONS : A COMPARATIVE STUDY OF EAST ASIA AND THE WEST
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Kapitel: PREAMBLE
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Kapitel: I. WHAT IS IN THIS STUDY ?
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Kapitel: II. THE RATIONALE FOR THIS STUDY
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Kapitel: III. HOW WILL THE STUDY BE OPERATIONALISED ?
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Kapitel: IV. ASPECTS OF THE STUDY
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Kapitel: V. CONTRIBUTIONS TO THE STUDY
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Rubrik: BULLETIN BIBLIOGRAPHIQUE
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1
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Kapitel: Généralités
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1
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Kapitel: Histoire
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5
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Kapitel: Logique et fondements
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7
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Kapitel: Analyse combinatoire
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8
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Kapitel: Théorie des nombres
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9
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Kapitel: Corps et polynômes
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10
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Kapitel: Géométrie algébrique
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10
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Kapitel: Anneaux et algèbres
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Kapitel: Catégories, algèbre homologique, cohomologie des groupes
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13
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Kapitel: Théorie des groupes et généralisations
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Kapitel: Mesure et intégration
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Kapitel: Fonctions d'une variable complexe
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Kapitel: Théorie du potentiel
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Kapitel: Fonctions de plusieurs variables complexes
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Kapitel: Fonctions spéciales
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Kapitel: Equations différentielles ordinaires
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Kapitel: Equations aux dérivées partielles
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Kapitel: Systèmes dynamiques et théorie ergodique
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Kapitel: Equations aux différences finies, équations fonctionnelles
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Kapitel: Analyse de Fourier, analyse harmonique abstraite
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Kapitel: Analyse fonctionnelle
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21
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Kapitel: Théorie des opérateurs
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22
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Kapitel: Calcul des variations
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23
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Kapitel: Géométrie
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23
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Kapitel: Géométrie différentielle
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24
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Kapitel: Topologie algébrique
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Kapitel: Topologie des variétés, analyse globale et analyse des variétés
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Kapitel: Probabilités et processus stochastiques
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Kapitel: Statistique
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Kapitel: Analyse numérique
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Kapitel: Informatique
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31
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Kapitel: Mécanique des fluides, acoustique
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33
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Kapitel: Economie, recherche opérationnelle, jeux
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Kapitel: Systèmes, contrôle optimal
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Kapitel: Information, communication, circuits
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Endseiten
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Endseiten
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Endseiten
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Heft 3-4: L'ENSEIGNEMENT MATHÉMATIQUE
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Titelseiten
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Inhaltsverzeichnis
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203
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Titelseiten
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204
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Artikel: INVERTING RADON TRANSFORMS : THE GROUP-THEORETIC APPROACH
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205
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Kurzfassung
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205
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Kurzfassung: Contents
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205
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Kapitel: 1. Introduction
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Kapitel: 2. Geometric setting
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Kapitel: 2.1 Double fibrations of homogeneous spaces
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Kapitel: 2.2 Group-theoretic Radon transforms
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Kapitel: 3. Convolution on X and inversion of R
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Kapitel: 3.1 A CONVOLUTION FORMULA
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Kapitel: 3.2 Radon inversion by convolution
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Kapitel: 4. Radon transforms on isotropic spaces
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Kapitel: 4.1 Totally geodesic submanifolds
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Kapitel: 4.2 An inversion formula
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Kapitel: 4.3 Examples
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Kapitel: 5. HARMONIC ANALYSIS ON X AND INVERSION OF R
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Kapitel: 6. Shifted Radon transforms, waves, and the amusing formula
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Kapitel: 6.1 SHIFTS
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Kapitel: 6.2 Radon inversion by shifts
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Kapitel: 6.3 Examples
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Kapitel: 6.4 The amusing formula generalized
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Kapitel: 6.5 MULTITEMPORAL WAVES
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Kapitel: 6.6 Examples
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Bibliographie
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251
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Artikel: SUR L'HYPERBOLICITÉ DE CERTAINS COMPLÉMENTAIRES
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253
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Kurzfassung
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253
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Kapitel: 0. Introduction
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253
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Kapitel: 1. Préliminaires
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Kapitel: 2. Le théorème de Green
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Kapitel: 3. Linéarisation des courbes entières dans $(C*)^k$
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258
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Kapitel: 4. Complémentaire d'une courbe à trois composantes dans $P^2(C)$
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260
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Anhang: 5. Appendice. Courbes de Brody dans $(C*)^k$
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265
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Bibliographie
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267
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Artikel: VITALI'S CONVERGENCE THEOREM ON TERM BY TERM INTEGRATION
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269
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Kapitel: 1. Introduction
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Kapitel: 2. Vitali's convergence theorem
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Kapitel: 3. The Vitali-Hahn-Saks Theorem
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Bibliographie
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284
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Artikel: PROPOS D'UN THÉORÈME DE VERSHIK ET KARPUSHEV
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Kurzfassung
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287
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Kapitel: 1. Introduction
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287
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Kapitel: 2. Exemples
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289
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Kapitel: 3. Représentations, cohomologie et fonctions (conditionnellement) de type positif
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Kapitel: 3.1 Représentations irréductibles et factorielles
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Kapitel: 3.2 Fonctions de type positif
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Kapitel: 3.3 Construction GNS
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Kapitel: 3.4 Topologie sur le dual
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Kapitel: 3.5 COHOMOLOGIE ET ACTIONS AFFINES
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Kapitel: 3.6 Fonctions conditionnellement de type positif
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Kapitel: 4. Preuve du théorème
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Kapitel: 4.1 Stratégie
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Kapitel: 4.2 Théorème de Schoenberg
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Kapitel: 4.3 DÉCOMPOSITION DE CHOQUET
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Kapitel: 4.4 Localisation
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Kapitel: 4.5. PROPOSITION. On conserve les notations précédentes.
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Kapitel: 4.6 Constructions GNS
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Bibliographie
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Artikel: FINITE TYPE LINK-HOMOTOPY INVARIANTS
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Kurzfassung
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Kapitel: 1. Introduction
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Kapitel: 2. CONJUGATION AND PARTIAL CONJUGATION
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Kapitel: 3. Construction of the invariant
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Bibliographie
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327
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Artikel: GROUPS ACTING ON THE CIRCLE
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Kapitel: 1. Introduction
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Kurzfassung: Contents
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Kapitel: 2. Some classical definitions
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Kapitel: 3. TWO BASIC EXAMPLES
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Kapitel: 3.1 The projective group
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Kapitel: 3.2 Piecewise linear groups
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Kapitel: 4. The group of homeomorphisms of the circle
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Kapitel: 4.1 Locally compact groups acting on the circle
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Kapitel: 5. Rotation numbers
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Kapitel: 5.1 Dynamics of a single homeomorphism
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Kapitel: 5.2 Tits' alternative
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Kapitel: 6. BOUNDED EULER CLASS
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Kapitel: 6.1 Group cohomology
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Kapitel: 6.2 The Euler class of a group action on the circle
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Kapitel: 6.3 BOUNDED COHOMOLOGY AND THE MILNOR-WOOD INEQUALITY
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Kapitel: 6.4 EXPLICIT BOUNDS ON THE EULER CLASS
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Kapitel: 6.5 Actions on the real line and orderings
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Kapitel: 6.6 SOME EXAMPLES
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Kapitel: 7. HIGHER RANK LATTICES
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Kapitel: 7.1 WITTE'S THEOREM
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Kapitel: 7.2 Actions of higher rank lattices
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Kapitel: 7.3 Lattices in linear groups
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Kapitel: 7.4 Some groups that do act...
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Bibliographie
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404
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Rubrik: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION)
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409
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Artikel: REPORT ON THE ICMI STUDY : «WHAT IS RESEARCH IN MATHEMATICS EDUCATION, AND WHAT ARE ITS RESULTS?»
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409
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Bibliographie
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411
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Rubrik: BULLETIN BIBLIOGRAPHIQUE
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Kapitel: Généralités
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39
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Kapitel: Analyse combinatoire
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44
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Kapitel: Théorie des nombres
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45
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Kapitel: Corps et polynômes
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46
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Kapitel: Géométrie algébrique
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Kapitel: Algèbre linéaire et multilinéaire, théorie des matrices
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47
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Kapitel: Anneaux et algèbres
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48
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Kapitel: Catégories, algèbre homologique, cohomologie des groupes
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49
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Kapitel: Théorie des groupes et généralisations
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Kapitel: Mesure et intégration
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51
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Kapitel: Fonctions d'une variable complexe
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51
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Kapitel: Équations différentielles ordinaires
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51
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Kapitel: Equations aux dérivées partielles
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52
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Kapitel: Systèmes dynamiques et théorie ergodique
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53
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Kapitel: Équations aux différences finies, équations fonctionnelles
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54
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Kapitel: Analyse de Fourier, analyse harmonique abstraite
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54
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Kapitel: Transformations intégrales, calcul opérationnel
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54
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Kapitel: Analyse fonctionnelle
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55
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Kapitel: Théorie des opérateurs
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56
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Kapitel: Calcul des variations
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58
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Kapitel: Géométrie
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58
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Kapitel: Ensembles convexes et inégalités géométriques
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60
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Kapitel: Géométrie différentielle
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60
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Kapitel: Topologie générale
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61
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Kapitel: Topologie algébrique
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62
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Kapitel: Topologie des variétés, analyse globale et analyse des variétés
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62
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Kapitel: Probabilités et processus stochastiques
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63
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Kapitel: Statistique
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65
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Kapitel: Analyse numérique
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67
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Kapitel: Informatique
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Kapitel: Mécanique des particules et systèmes
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Kapitel: Mécanique des solides, élasticité et plasticité
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Chapter: Mécanique des fluides, acoustique
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71
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Chapter: Thermodynamique classique, propagation de la chaleur
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71
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Chapter: Physique statistique, structure de la matière
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71
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Chapter: Astronomie et astrophysique
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71
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Chapter: Économie, recherche opérationnelle, jeux
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72
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Chapter: Biologie et sciences du comportement
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72
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Chapter: Systèmes, contrôle optimal
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72
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Chapter: Information, communication, circuits
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73
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Back matter
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Front matter
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Index
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Back matter
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Back matter
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Back matter
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Back matter
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