L'Enseignement Mathématique

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Volume 48 (2002): L'ENSEIGNEMENT MATHÉMATIQUE
Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
Front matter Download as PDF
Table of Contents 1 Download as PDF
Front matter 2 Download as PDF
Article: THE COSET WEIGHT DISTRIBUTIONS OF CERTAIN BCH CODES AND A FAMILY OF CURVES 3 Download as PDF
Chapter: Introduction 3 Download as PDF
Chapter: §1. A FAMILY OF CURVES 5 Download as PDF
Chapter: §2. DISSECTING THE JACOBIAN 8 Download as PDF
Chapter: §3. BOUNDS FOR N(A,B) 13 Download as PDF
Chapter: §4. Numerical results 17 Download as PDF
Chapter: §5. The covering radius 19 Download as PDF
Bibliography 20 Download as PDF
Article: HOLONOMY AND SUBMANIFOLD GEOMETRY 23 Download as PDF
Abstract 23 Download as PDF
Chapter: 1. Introduction 23 Download as PDF
Chapter: 2. Riemannian holonomy 25 Download as PDF
Chapter: 3. Normal holonomy 27 Download as PDF
Chapter: 4. Homogeneity and holonomy 39 Download as PDF
Chapter: 5. Lorentzian holonomy and homogeneous submanifolds of $H^n$ 45 Download as PDF
Bibliography 48 Download as PDF
Article: TRIPLE RATIO ON THE UNITARY STIEFEL MANIFOLD 51 Download as PDF
Abstract 51 Download as PDF
Chapter: Introduction 51 Download as PDF
Chapter: 1. Geometric setting 52 Download as PDF
Chapter: 2. Action of G on $S \times S$ and $S \times S \times S$ 55 Download as PDF
Chapter: 3. Orbits for the $GL_q$-action on $\tilde{T}_q$ 58 Download as PDF
Chapter: 4. The triple ratio on S 68 Download as PDF
Bibliography 70 Download as PDF
Article: THE HILBERT METRIC AND GROMOV HYPERBOLICITY 73 Download as PDF
Abstract 73 Download as PDF
Chapter: Introduction 73 Download as PDF
Chapter: 1. Intersecting chords in convex domains 75 Download as PDF
Chapter: 1.1 Intersecting line segments and Menger curvature 76 Download as PDF
Chapter: 1.2 Chords larger than δ 77 Download as PDF
Chapter: 2. Hyperbolicity of Hilbert's metric 78 Download as PDF
Chapter: 3. Intersecting chords theorem for convex $C^2$-domains 81 Download as PDF
Chapter: 3.1 The two-dimensional case 81 Download as PDF
Chapter: 3.2 The proof of Theorem 3.1 83 Download as PDF
Chapter: 4. CONSEQUENCES OF GROMOV HYPERBOLICITY FOR THE SHAPE OF THE BOUNDARY 84 Download as PDF
Chapter: 5. NON-STRICTLY CONVEX DOMAINS 86 Download as PDF
Bibliography 88 Download as PDF
Article: SEMISTABLE K3-SURFACES WITH ICOSAHEDRAL SYMMETRY 91 Download as PDF
Abstract 91 Download as PDF
Chapter: Introduction 91 Download as PDF
Chapter: 1. Semistable degenerations of K3 -surfaces 93 Download as PDF
Chapter: 2. Tetrahedra 96 Download as PDF
Chapter: 3. DEFORMATION THEORY 105 Download as PDF
Chapter: 4. HODGE ALGEBRAS 113 Download as PDF
Chapter: 5. The dodecahedron 115 Download as PDF
Bibliography 125 Download as PDF
Article: EXPOSANT ET INDICE D'ALGÈBRES SIMPLES CENTRALES NON RAMIFIÉES 127 Download as PDF
Chapter: 1. Quelques résultats et exemples classiques 129 Download as PDF
Chapter: 2. Algèbres non ramifiées via la réduction d'indice 133 Download as PDF
Chapter: 3. Algèbres non ramifiées sur les produits de courbes 137 Download as PDF
Appendix: APPENDICE 139 Download as PDF
Bibliography 145 Download as PDF
Article: L'ÉQUATION DE NAGELL-LJUNGGREN $\frac{x^n – 1}{x – 1} = y^q$ 147 Download as PDF
Chapter: 1. Introduction 147 Download as PDF
Chapter: 2. Les résultats de Nagell et Ljunggren 149 Download as PDF
Chapter: 3. Application des formes linéaires de logarithmes : RÉSULTATS DE FINITUDE 150 Download as PDF
Chapter: 4. Un outil important : les formes linéaires de logarithmes 152 Download as PDF
Chapter: 5. Un exemple de résolution complète de l'équation (1) 155 Download as PDF
Chapter: 6. OÙ APPARAISSENT LES FORMES LINÉAIRES DE LOGARITHMES p-ADIQUES 157 Download as PDF
Chapter: 7. A NOUVEAU LES CONGRUENCES 159 Download as PDF
Chapter: 8. Une extension du théorème de Nagell et Ljunggren 160 Download as PDF
Chapter: 9. Autres résultats 161 Download as PDF
Chapter: 10. L'ÉQUATION $\frac{x^n – 1}{x – 1} = y^q$ 163 Download as PDF
Chapter: 11. Le cas x < 0 164 Download as PDF
Chapter: 12. Applications 164 Download as PDF
Bibliography 165 Download as PDF
Article: THE FANNING METHOD FOR CONSTRUCTING EVEN UNIMODULAR LATTICES. I 169 Download as PDF
Abstract 169 Download as PDF
Chapter: Introduction 169 Download as PDF
Chapter: 1. Lattices 170 Download as PDF
Chapter: 2. ISOFOLDS AND ISOFANS 174 Download as PDF
Chapter: 3. Elementary isofans and isofolds 180 Download as PDF
Bibliography 186 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 1 Download as PDF
Chapter: Généralités 1 Download as PDF
Chapter: Histoire 3 Download as PDF
Chapter: Logique et fondements 4 Download as PDF
Chapter: Analyse combinatoire 5 Download as PDF
Chapter: Ordre, treillis 6 Download as PDF
Chapter: Théorie des nombres 6 Download as PDF
Chapter: Corps et polynômes 7 Download as PDF
Chapter: Géométrie algébrique 7 Download as PDF
Chapter: Algèbre linéaire et multilinéaire, théorie des matrices 8 Download as PDF
Chapter: Anneaux et algèbres 8 Download as PDF
Chapter: Théorie des groupes et généralisations 9 Download as PDF
Chapter: Groupes topologiques; groupes et algèbres de Lie 10 Download as PDF
Chapter: Fonctions de variables réelles 10 Download as PDF
Chapter: Fonctions d'une variable complexe 10 Download as PDF
Chapter: Équations différentielles ordinaires 11 Download as PDF
Chapter: Équations aux dérivées partielles 11 Download as PDF
Chapter: Systèmes dynamiques et théorie ergodique 12 Download as PDF
Chapter: Équations aux différences finies, équations fonctionnelles 12 Download as PDF
Chapter: Analyse de Fourier, analyse harmonique abstraite 12 Download as PDF
Chapter: Analyse fonctionnelle 13 Download as PDF
Chapter: Théorie des opérateurs 15 Download as PDF
Chapter: Calcul des variations 16 Download as PDF
Chapter: Géométrie 16 Download as PDF
Chapter: Géométrie différentielle 16 Download as PDF
Chapter: Topologie algébrique 18 Download as PDF
Chapter: Topologie des variétés, analyse globale et analyse des variétés 18 Download as PDF
Chapter: Probabilités et processus stochastiques 20 Download as PDF
Chapter: Statistique 21 Download as PDF
Chapter: Analyse numérique 21 Download as PDF
Chapter: Informatique 22 Download as PDF
Chapter: Mécanique des solides, élasticité et plasticité 23 Download as PDF
Chapter: Mécanique des fluides, acoustique 24 Download as PDF
Chapter: Thermodynamique classique, propagation de la chaleur 24 Download as PDF
Chapter: Mécanique quantique 24 Download as PDF
Chapter: Astronomie et astrophysique 24 Download as PDF
Chapter: Économie, recherche opérationnelle, jeux 25 Download as PDF
Chapter: Biologie et sciences du comportement 25 Download as PDF
Chapter: Information, communication, circuits 26 Download as PDF
Back matter Download as PDF
Back matter Download as PDF
Back matter Download as PDF
Back matter Download as PDF
Issue 3-4: L'ENSEIGNEMENT MATHÉMATIQUE
Front matter Download as PDF
Table of Contents 189 Download as PDF
Front matter 190 Download as PDF
Article: ON THE RATIONAL FORMS OF NILPOTENT LIE ALGEBRAS AND LATTICES IN NILPOTENT LIE GROUPS 191 Download as PDF
Abstract 191 Download as PDF
Chapter: 1. Introduction 191 Download as PDF
Chapter: 2. Nilpotent Lie algebras with a unique rational form up to isomorphism 194 Download as PDF
Chapter: 2.1 HEISENBERG ALGEBRAS 194 Download as PDF
Chapter: 2.2 Example of a free nilpotent algebra 196 Download as PDF
Chapter: 2.3 More examples 196 Download as PDF
Chapter: 3. Malcev's example 197 Download as PDF
Chapter: 4. Nilpotent Lie algebras with infinitely many non-isomorphic rational forms 201 Download as PDF
Chapter: 4.1 Basic lemma 201 Download as PDF
Chapter: 4.2 Proof of Theorem 2 201 Download as PDF
Chapter: 4.3 Classification of rational forms for some 6-dimensional Lie ALGEBRAS 203 Download as PDF
Bibliography 207 Download as PDF
Article: MM-SPACES AND GROUP ACTIONS 209 Download as PDF
Abstract 209 Download as PDF
Chapter: 1. Introduction 209 Download as PDF
Chapter: 2. Some concepts of asymptotic geometric analysis 210 Download as PDF
Chapter: 3. A TRANSFORMATION GROUP FRAMEWORK 212 Download as PDF
Chapter: 4. Concentration property and fixed points 217 Download as PDF
Chapter: 5. Invariant means on spheres 222 Download as PDF
Chapter: 6. Ramsey-Dvoretzky-Milman property 226 Download as PDF
Chapter: 6.1 EXTREME AMENABILITY AND SMALL OSCILLATIONS 226 Download as PDF
Chapter: 6.2 Dvoretzky's theorem 227 Download as PDF
Chapter: 6.3 Ramsey's theorem 228 Download as PDF
Chapter: 6.4 Extreme amenability and minimal flows 230 Download as PDF
Chapter: 6.5 The Urysohn metric space 231 Download as PDF
Chapter: 7. Concentration to a non-trivial space 232 Download as PDF
Chapter: 8. Reading suggestions 234 Download as PDF
Bibliography 235 Download as PDF
Article: TOPOLOGICAL PROOF OF THE GROTHENDIECK FORMULA IN REAL ALGEBRAIC GEOMETRY 237 Download as PDF
Chapter: Introduction 237 Download as PDF
Chapter: 1. The Grothendieck formula 238 Download as PDF
Chapter: 2. Proof of the Grothendieck formula 244 Download as PDF
Bibliography 257 Download as PDF
Article: AN HOMOLOGY 4-SPHERE GROUP WITH NEGATIVE DEFICIENCY 259 Download as PDF
Abstract 259 Download as PDF
Rubric 260 Download as PDF
Bibliography 262 Download as PDF
Article: ON THE CLASSIFICATION OF CERTAIN PIECEWISE LINEAR AND DIFFERENTIABLE MANIFOLDS IN DIMENSION EIGHT AND AUTOMORPHISMS OF $\sharp_{i=1}^b (S^2 \times S^5)$ 263 Download as PDF
Abstract 263 Download as PDF
Chapter: 1. Introduction 263 Download as PDF
Chapter: 2. STATEMENT OF THE RESULT 264 Download as PDF
Chapter: 2.1 The classical invariants 265 Download as PDF
Chapter: 2.2 Manifolds with trivial cup form $\delta_x$ 267 Download as PDF
Chapter: 3. Preliminaries 269 Download as PDF
Chapter: 3.1 The structure of manifolds: handle attachment and surgery 269 Download as PDF
Chapter: 3.2 CONSEQUENCES FOR E-MANIFOLDS OF DIMENSION EIGHT WITH $W_2 = 0$ 271 Download as PDF
Chapter: 3.3 Homotopy vs. isotopy 271 Download as PDF
Chapter: 3.4 SOME 4-DIMENSIONAL CW-COMPLEXES 273 Download as PDF
Chapter: 3.5 Pontrjagin classes and $\pi_3(SO(4))$ 274 Download as PDF
Chapter: 3.6 Links of 3-spheres in $\sharp_{i=1}^b (S^2 \times S^5)$ 274 Download as PDF
Chapter: 3.7 Links of 5-spheres in $S^8$ 275 Download as PDF
Chapter: 4. Proof of Theorem 2.2 and Theorem 2.4 278 Download as PDF
Chapter: 4.1 Proof of Theorem 2.2 278 Download as PDF
Chapter: 4.2 THE DETERMINATION OF $W_4$ IN THE GENERAL CASE 280 Download as PDF
Chapter: 4.3 Manifolds with given invariants 281 Download as PDF
Chapter: 5. Structure of the group $Aut_0^{PL}(\sharp_{i=1}^b (S^2 \times S^5))/Aut_0^{PL}(\sharp_{i=1}^b (S^2 \times D^6))$ 285 Download as PDF
Bibliography 288 Download as PDF
Article: UNE PREUVE GÉOMÉTRIQUE DU THÉORÈME DE JUNG 291 Download as PDF
Chapter: 1. Introduction 291 Download as PDF
Chapter: 2. Applications birationnelles entre surfaces 296 Download as PDF
Chapter: 3. Preuve du théorème de Jung 302 Download as PDF
Chapter: 4. Compléments 310 Download as PDF
Chapter: 4.1 Un exemple 310 Download as PDF
Chapter: 4.2 Structure de produit amalgamé 312 Download as PDF
Chapter: 4.3 Preuve sur un corps quelconque 312 Download as PDF
Bibliography 314 Download as PDF
Article: TORSION NUMBERS OF AUGMENTED GROUPS WITH APPLICATIONS TO KNOTS AND LINKS 317 Download as PDF
Abstract 317 Download as PDF
Chapter: 1. Introduction 317 Download as PDF
Chapter: 2. Augmented groups and torsion numbers 319 Download as PDF
Chapter: 3. EXTENDED FOX FORMULA AND RECURRENCE 326 Download as PDF
Chapter: 4. Prime parts of torsion numbers 333 Download as PDF
Chapter: 5. Torsion numbers and links 337 Download as PDF
Bibliography 342 Download as PDF
Article: PROJECTIVE MODULES OVER SOME PRÜFER RINGS 345 Download as PDF
Chapter: 1. Introduction 345 Download as PDF
Chapter: 2. A GENERAL STEINITZ ISOMORPHISM THEOREM 347 Download as PDF
Chapter: 3. DECOMPOSITION OF FINITELY GENERATED PROJECTIVE MODULES 349 Download as PDF
Chapter: 4. Rings with the strong $1\frac{1}{2}$ -generator property 351 Download as PDF
Chapter: 5. Non finitely generated projective modules 353 Download as PDF
Bibliography 356 Download as PDF
Article: THE NONAMENABILITY OF SCHREIER GRAPHS FOR INFINITE INDEX QUASICONVEX SUBGROUPS OF HYPERBOLIC GROUPS 359 Download as PDF
Abstract 359 Download as PDF
Chapter: 1. Introduction 359 Download as PDF
Chapter: 2. Nonamenability for graphs 363 Download as PDF
Chapter: 3. Hyperbolic metric spaces 366 Download as PDF
Chapter: 4. Quasiconvex subgroups of hyperbolic groups 367 Download as PDF
Chapter: 5. PROOF OF THE MAIN RESULT 368 Download as PDF
Bibliography 371 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 377 Download as PDF
Chapter: THE ICMI AWARDS IN MATHEMATICS EDUCATION RESEARCH 377 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 27 Download as PDF
Chapter: Généralités 27 Download as PDF
Chapter: Histoire 32 Download as PDF
Chapter: Logique et fondements 33 Download as PDF
Chapter: Analyse combinatoire 33 Download as PDF
Chapter: Théorie des nombres 34 Download as PDF
Chapter: Corps et polynômes 35 Download as PDF
Chapter: Géométrie algébrique 35 Download as PDF
Chapter: Anneaux et algèbres 36 Download as PDF
Chapter: K-théorie 37 Download as PDF
Chapter: Théorie des groupes et généralisations 38 Download as PDF
Chapter: Groupes topologiques : groupes et algèbres de Lie 39 Download as PDF
Chapter: Fonctions de variables réelles 40 Download as PDF
Chapter: Fonctions d'une variable complexe 40 Download as PDF
Chapter: Fonctions de plusieurs variables complexes 41 Download as PDF
Chapter: Équations aux dérivées partielles 42 Download as PDF
Chapter: Systèmes dynamiques et théorie ergodique 43 Download as PDF
Chapter: Équations aux différences finies, équations fonctionnelles 45 Download as PDF
Chapter: Approximations et développements en série 45 Download as PDF
Chapter: Analyse de Fourier, analyse harmonique abstraite 45 Download as PDF
Chapter: Analyse fonctionnelle 46 Download as PDF
Chapter: Théorie des opérateurs 47 Download as PDF
Chapter: Calcul des variations 48 Download as PDF
Chapter: Géométrie 49 Download as PDF
Chapter: Ensembles convexes et inégalités géométriques 49 Download as PDF
Chapter: Géométrie différentielle 49 Download as PDF
Chapter: Topologie algébrique 50 Download as PDF
Chapter: Topologie des variétés, analyse globale et analyse des variétés 50 Download as PDF
Chapter: Probabilités et processus stochastiques 52 Download as PDF
Chapter: Statistique 56 Download as PDF
Chapter: Analyse numérique 57 Download as PDF
Chapter: Informatique 58 Download as PDF
Chapter: Mécanique des fluides, acoustique 58 Download as PDF
Chapter: Économie, recherche opérationnelle, jeux 59 Download as PDF
Chapter: Biologie et sciences du comportement 60 Download as PDF
Chapter: Information, communication, circuits 60 Download as PDF
Front matter Download as PDF
Index Download as PDF
Back matter Download as PDF
Back matter Download as PDF
Back matter Download as PDF

INTERNATIONAL REVIEW - Gegründet 1899
Offizielle Zeitschrift der Internationalen Kommission von L'Enseignement Mathématique.

Eine der kennzeichnenden Eigenschaften der Zeitschrift von Anfang an war eine Reihe von Artikeln über den Unterricht der Mathematik in den verschiedenen Ländern. Der Ehrgeiz der Internationalität der Zeitschrift führte soweit, dass sogar Artikeln und Chroniken in Esperanto veröffentlicht wurden. Auch erwähnt werden sollen hier veröffentlichte Texte über die soziale Rolle der Wissenschaft und eine grosse Untersuchung über die Arbeitsmethode der Mathematiker. Im Stil, der dieser Zeit eigen war, erklären die Gründer (in der Adresse an den Leser von 1904), "ein universelles wissenschaftliches Instrument des Fortschritts, der brüderlichen Solidarität" gebaut zu haben und fügen auch ganz bescheiden hinzu:

«Während der fünf Jahre, die seit der Schaffung dieser Zeitschrift vergangen sind, haben wir die Gewissheit erlangt, dass sie nützlich war.»

Eine Präzisierung der Direktoren von 1904:

«Das Wort "Unterricht" hat für uns die breiteste Bedeutung. Gemeint ist sowohl der Unterricht der Schüler als auch der Unterricht der Professoren. Und im Übrigen geht das eine ohne das andere nicht.»

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Editoren: Anton ALEKSEEV, Daniel CORAY, Pierre de la HARPE, Michel KERVAIRE, Nicolas MONOD, Tatiana SMIRNOVA-NAGNIBEDA, John STEINIG, Thierry VUST, Vaughan F. R. JONES

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Title:L'Enseignement Mathématique
Period:1899-ff

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