L'Enseignement Mathématique

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Volume 47 (2001): 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: PROJECTIVE GEOMETRY OF POLYGONS AND DISCRETE 4-VERTEX AND 6-VERTEX THEOREMS 3 Download as PDF
Abstract 3 Download as PDF
Chapter: 1. Introduction 3 Download as PDF
Chapter: 2. Theorems on plane polygons 5 Download as PDF
Chapter: 2.1 DISCRETE 4-VERTEX THEOREM 5 Download as PDF
Chapter: 2.2 DISCRETE THEOREM ON 6 AFFINE VERTICES 6 Download as PDF
Chapter: 2.3 DISCRETE GHYS THEOREM 7 Download as PDF
Chapter: 3. Main Theorem 9 Download as PDF
Chapter: 3.1 Intersection multiplicities 9 Download as PDF
Chapter: 3.2 A SIMPLEX IS STRICTLY CONVEX 12 Download as PDF
Chapter: 3.3 BARNER'S THEOREM FOR POLYGONS 13 Download as PDF
Chapter: 4. Applications of the main theorem 15 Download as PDF
Chapter: 4.1 Proof of Theorems 2.2, 2.6 and 2.10 15 Download as PDF
Chapter: 4.2 CONCLUDING REMARKS 17 Download as PDF
Bibliography 18 Download as PDF
Article: LATTICES OF COVARIANT QUADRATIC FORMS 21 Download as PDF
Chapter: 1. Introduction 21 Download as PDF
Chapter: 2. Covariant forms and equivalence 23 Download as PDF
Chapter: 3. Autoequivalences and invariants 29 Download as PDF
Chapter: 4. EXTRINSIC NOTIONS : USING THE UNDERLYING LATTICE 34 Download as PDF
Chapter: 5. Inversion and modularity 43 Download as PDF
Chapter: 6. Some three-dimensional lattices of covariant forms 48 Download as PDF
Bibliography 55 Download as PDF
Article: ON AN ASSERTION IN RIEMANN'S HABILITATIONSVORTRAG 57 Download as PDF
Abstract 57 Download as PDF
Chapter: 1. Introduction 57 Download as PDF
Chapter: 2. An algebraic example 59 Download as PDF
Chapter: 3. Curvature zero 2-planes in $S^a \times H^a \times T^b$ 60 Download as PDF
Chapter: 4. Curvature zero 2-planes in warped products 61 Download as PDF
Chapter: 5. CONCLUDING COMMENTS 62 Download as PDF
Bibliography 62 Download as PDF
Article: NEW EXAMPLES OF MAXIMAL SURFACES 65 Download as PDF
Abstract 65 Download as PDF
Chapter: 1. Introduction 65 Download as PDF
Chapter: 2. Basic properties of simple triangle surfaces 68 Download as PDF
Chapter: 3. Geometric properties of systoles of simple triangle surfaces 74 Download as PDF
Chapter: 4. Length estimates for systoles 82 Download as PDF
Chapter: 5. Proof of the theorem 89 Download as PDF
Bibliography 100 Download as PDF
Article: CIRCULANT MODULAR HADAMARD MATRICES 103 Download as PDF
Chapter: 1. Introduction 103 Download as PDF
Chapter: 2. A FAMILY OF (p – 1)-modular circulant Hadamard matrices of size 4p. 105 Download as PDF
Chapter: 3. Circulant modular Hadamard matrices of type 2 112 Download as PDF
Bibliography 114 Download as PDF
Article: SYMPLECTIC CHARACTERISTIC CLASSES 115 Download as PDF
Abstract 115 Download as PDF
Chapter: 1. The symplectic group 115 Download as PDF
Chapter: 1.1 DEFINITION 115 Download as PDF
Chapter: 1.2 A RELATION BETWEEN $U(\frac{p-1}{2})$ AND Sp(p-1,Z) 116 Download as PDF
Chapter: 2. Symplectic characteristic classes 126 Download as PDF
Chapter: 2.1 Characteristic classes and representations 126 Download as PDF
Chapter: 2.2 Symplectic characteristic classes and Chern classes 127 Download as PDF
Bibliography 129 Download as PDF
Article: THE POSITIVE CONE OF SPHERES AND SOME PRODUCTS OF SPHERES 131 Download as PDF
Abstract 131 Download as PDF
Chapter: 1. Introduction 131 Download as PDF
Chapter: 2. PRELIMINAIRES 133 Download as PDF
Chapter: 3. The γ-cone and the c-cone 139 Download as PDF
Chapter: 4. The positive cone of the spheres 142 Download as PDF
Chapter: 5. FURTHER PROPERTIES OF THE CONES 144 Download as PDF
Chapter: 6. The cones of the products $S^n \times S^{2m-1}$ 147 Download as PDF
Chapter: 7. The γ-cone of $S^{2n} \times S^{2m}$ and the positive cone of $S^2 \times S^{2n}$ 148 Download as PDF
Chapter: 8. The Whitehead product and the positive cone 150 Download as PDF
Chapter: 9. The positive cone of some products of even-dimensional spheres 153 Download as PDF
Chapter: 10. "Gaps in cohomology" and the γ-cone 155 Download as PDF
Chapter: 11. A "DOUBLING FORMULA" FOR STIRLING NUMBERS OF THE SECOND KIND 156 Download as PDF
Bibliography 159 Download as PDF
Article: UNE QUINTIQUE DE GENRE 1 QUI CONTREDIT LE PRINCIPE DE HASSE 161 Download as PDF
Chapter: 1. Introduction 161 Download as PDF
Chapter: 2. Quintiques planes de genre 1 162 Download as PDF
Chapter: 3. Un corps de nombres 164 Download as PDF
Chapter: 4. Choix de la courbe 165 Download as PDF
Chapter: 5. DÉMONSTRATION DU CAS LOCAL 166 Download as PDF
Chapter: 6. DÉMONSTRATION DU CAS GLOBAL 167 Download as PDF
Chapter: 7. La jacobienne de C 170 Download as PDF
Bibliography 172 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 173 Download as PDF
Article: RAPPORTS SUR LES ACTIVITÉS DE LA CIEM POUR LES ANNÉES 1999 ET 2000 173 Download as PDF
Chapter: 1. À PROPOS DE LA CIEM 173 Download as PDF
Chapter: 2. Congrès ICME 174 Download as PDF
Chapter: 3. ÉTUDES DE LA CIEM 174 Download as PDF
Chapter: 4. Conférences régionales 176 Download as PDF
Chapter: 5. Autre activité 176 Download as PDF
Chapter: 6. Groupes d'étude affiliés 177 Download as PDF
Chapter: 7. Le Programme de solidarité 177 Download as PDF
Chapter: 8. Organisation de la Commission 177 Download as PDF
Chapter: 9. Informations sur la CIEM 178 Download as PDF
Appendix: Appendice : Les Études de la CIEM 178 Download as PDF
Rubric: INTERNATIONAL SYMPOSIUM «One Hundred Years of L'Enseignement Mathématique: Moments of Mathematics Education in the 20th Century» 181 Download as PDF
Article: REPORT ON THE INTERNATIONAL SYMPOSIUM ORGANISED JOINTLY BY THE UNIVERSITY OF GENEVA AND ICMI (Geneva, 20-22 October 2000) 181 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 185 Download as PDF
Chapter: DISCUSSION DOCUMENT FOR THE THIRTEENTH ICMI STUDY MATHEMATICS EDUCATION IN DIFFERENT CULTURAL TRADITIONS : A COMPARATIVE STUDY OF EAST ASIA AND THE WEST 185 Download as PDF
Chapter: PREAMBLE 185 Download as PDF
Chapter: I. WHAT IS IN THIS STUDY ? 187 Download as PDF
Chapter: II. THE RATIONALE FOR THIS STUDY 188 Download as PDF
Chapter: III. HOW WILL THE STUDY BE OPERATIONALISED ? 191 Download as PDF
Chapter: IV. ASPECTS OF THE STUDY 193 Download as PDF
Chapter: V. CONTRIBUTIONS TO THE STUDY 199 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 1 Download as PDF
Chapter: Généralités 1 Download as PDF
Chapter: Histoire 5 Download as PDF
Chapter: Logique et fondements 7 Download as PDF
Chapter: Analyse combinatoire 8 Download as PDF
Chapter: Théorie des nombres 9 Download as PDF
Chapter: Corps et polynômes 10 Download as PDF
Chapter: Géométrie algébrique 10 Download as PDF
Chapter: Anneaux et algèbres 12 Download as PDF
Chapter: Catégories, algèbre homologique, cohomologie des groupes 13 Download as PDF
Chapter: Théorie des groupes et généralisations 14 Download as PDF
Chapter: Mesure et intégration 15 Download as PDF
Chapter: Fonctions d'une variable complexe 15 Download as PDF
Chapter: Théorie du potentiel 15 Download as PDF
Chapter: Fonctions de plusieurs variables complexes 15 Download as PDF
Chapter: Fonctions spéciales 16 Download as PDF
Chapter: Equations différentielles ordinaires 16 Download as PDF
Chapter: Equations aux dérivées partielles 17 Download as PDF
Chapter: Systèmes dynamiques et théorie ergodique 19 Download as PDF
Chapter: Equations aux différences finies, équations fonctionnelles 20 Download as PDF
Chapter: Analyse de Fourier, analyse harmonique abstraite 21 Download as PDF
Chapter: Analyse fonctionnelle 21 Download as PDF
Chapter: Théorie des opérateurs 22 Download as PDF
Chapter: Calcul des variations 23 Download as PDF
Chapter: Géométrie 23 Download as PDF
Chapter: Géométrie différentielle 24 Download as PDF
Chapter: Topologie algébrique 24 Download as PDF
Chapter: Topologie des variétés, analyse globale et analyse des variétés 25 Download as PDF
Chapter: Probabilités et processus stochastiques 27 Download as PDF
Chapter: Statistique 29 Download as PDF
Chapter: Analyse numérique 30 Download as PDF
Chapter: Informatique 31 Download as PDF
Chapter: Mécanique des fluides, acoustique 33 Download as PDF
Chapter: Economie, recherche opérationnelle, jeux 34 Download as PDF
Chapter: Systèmes, contrôle optimal 35 Download as PDF
Chapter: Information, communication, circuits 36 Download as PDF
Back matter 38 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 203 Download as PDF
Front matter 204 Download as PDF
Article: INVERTING RADON TRANSFORMS : THE GROUP-THEORETIC APPROACH 205 Download as PDF
Abstract 205 Download as PDF
Abstract: Contents 205 Download as PDF
Chapter: 1. Introduction 206 Download as PDF
Chapter: 2. Geometric setting 210 Download as PDF
Chapter: 2.1 Double fibrations of homogeneous spaces 210 Download as PDF
Chapter: 2.2 Group-theoretic Radon transforms 212 Download as PDF
Chapter: 3. Convolution on X and inversion of R 215 Download as PDF
Chapter: 3.1 A CONVOLUTION FORMULA 215 Download as PDF
Chapter: 3.2 Radon inversion by convolution 220 Download as PDF
Chapter: 4. Radon transforms on isotropic spaces 221 Download as PDF
Chapter: 4.1 Totally geodesic submanifolds 221 Download as PDF
Chapter: 4.2 An inversion formula 224 Download as PDF
Chapter: 4.3 Examples 227 Download as PDF
Chapter: 5. HARMONIC ANALYSIS ON X AND INVERSION OF R 230 Download as PDF
Chapter: 6. Shifted Radon transforms, waves, and the amusing formula 232 Download as PDF
Chapter: 6.1 SHIFTS 233 Download as PDF
Chapter: 6.2 Radon inversion by shifts 234 Download as PDF
Chapter: 6.3 Examples 235 Download as PDF
Chapter: 6.4 The amusing formula generalized 241 Download as PDF
Chapter: 6.5 MULTITEMPORAL WAVES 244 Download as PDF
Chapter: 6.6 Examples 247 Download as PDF
Bibliography 251 Download as PDF
Article: SUR L'HYPERBOLICITÉ DE CERTAINS COMPLÉMENTAIRES 253 Download as PDF
Abstract 253 Download as PDF
Chapter: 0. Introduction 253 Download as PDF
Chapter: 1. Préliminaires 255 Download as PDF
Chapter: 2. Le théorème de Green 257 Download as PDF
Chapter: 3. Linéarisation des courbes entières dans $(C*)^k$ 258 Download as PDF
Chapter: 4. Complémentaire d'une courbe à trois composantes dans $P^2(C)$ 260 Download as PDF
Appendix: 5. Appendice. Courbes de Brody dans $(C*)^k$ 265 Download as PDF
Bibliography 267 Download as PDF
Article: VITALI'S CONVERGENCE THEOREM ON TERM BY TERM INTEGRATION 269 Download as PDF
Chapter: 1. Introduction 269 Download as PDF
Chapter: 2. Vitali's convergence theorem 272 Download as PDF
Chapter: 3. The Vitali-Hahn-Saks Theorem 279 Download as PDF
Bibliography 284 Download as PDF
Article: PROPOS D'UN THÉORÈME DE VERSHIK ET KARPUSHEV 287 Download as PDF
Abstract 287 Download as PDF
Chapter: 1. Introduction 287 Download as PDF
Chapter: 2. Exemples 289 Download as PDF
Chapter: 3. Représentations, cohomologie et fonctions (conditionnellement) de type positif 298 Download as PDF
Chapter: 3.1 Représentations irréductibles et factorielles 298 Download as PDF
Chapter: 3.2 Fonctions de type positif 298 Download as PDF
Chapter: 3.3 Construction GNS 299 Download as PDF
Chapter: 3.4 Topologie sur le dual 300 Download as PDF
Chapter: 3.5 COHOMOLOGIE ET ACTIONS AFFINES 301 Download as PDF
Chapter: 3.6 Fonctions conditionnellement de type positif 302 Download as PDF
Chapter: 4. Preuve du théorème 303 Download as PDF
Chapter: 4.1 Stratégie 303 Download as PDF
Chapter: 4.2 Théorème de Schoenberg 304 Download as PDF
Chapter: 4.3 DÉCOMPOSITION DE CHOQUET 304 Download as PDF
Chapter: 4.4 Localisation 305 Download as PDF
Chapter: 4.5. PROPOSITION. On conserve les notations précédentes. 306 Download as PDF
Chapter: 4.6 Constructions GNS 309 Download as PDF
Bibliography 313 Download as PDF
Article: FINITE TYPE LINK-HOMOTOPY INVARIANTS 315 Download as PDF
Abstract 315 Download as PDF
Chapter: 1. Introduction 315 Download as PDF
Chapter: 2. CONJUGATION AND PARTIAL CONJUGATION 317 Download as PDF
Chapter: 3. Construction of the invariant 323 Download as PDF
Bibliography 327 Download as PDF
Article: GROUPS ACTING ON THE CIRCLE 329 Download as PDF
Chapter: 1. Introduction 329 Download as PDF
Abstract: Contents 330 Download as PDF
Chapter: 2. Some classical definitions 330 Download as PDF
Chapter: 3. TWO BASIC EXAMPLES 332 Download as PDF
Chapter: 3.1 The projective group 333 Download as PDF
Chapter: 3.2 Piecewise linear groups 336 Download as PDF
Chapter: 4. The group of homeomorphisms of the circle 338 Download as PDF
Chapter: 4.1 Locally compact groups acting on the circle 345 Download as PDF
Chapter: 5. Rotation numbers 349 Download as PDF
Chapter: 5.1 Dynamics of a single homeomorphism 349 Download as PDF
Chapter: 5.2 Tits' alternative 359 Download as PDF
Chapter: 6. BOUNDED EULER CLASS 363 Download as PDF
Chapter: 6.1 Group cohomology 363 Download as PDF
Chapter: 6.2 The Euler class of a group action on the circle 366 Download as PDF
Chapter: 6.3 BOUNDED COHOMOLOGY AND THE MILNOR-WOOD INEQUALITY 367 Download as PDF
Chapter: 6.4 EXPLICIT BOUNDS ON THE EULER CLASS 372 Download as PDF
Chapter: 6.5 Actions on the real line and orderings 373 Download as PDF
Chapter: 6.6 SOME EXAMPLES 382 Download as PDF
Chapter: 7. HIGHER RANK LATTICES 386 Download as PDF
Chapter: 7.1 WITTE'S THEOREM 387 Download as PDF
Chapter: 7.2 Actions of higher rank lattices 390 Download as PDF
Chapter: 7.3 Lattices in linear groups 392 Download as PDF
Chapter: 7.4 Some groups that do act... 401 Download as PDF
Bibliography 404 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 409 Download as PDF
Article: REPORT ON THE ICMI STUDY : «WHAT IS RESEARCH IN MATHEMATICS EDUCATION, AND WHAT ARE ITS RESULTS?» 409 Download as PDF
Bibliography 411 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 39 Download as PDF
Chapter: Généralités 39 Download as PDF
Chapter: Analyse combinatoire 44 Download as PDF
Chapter: Théorie des nombres 45 Download as PDF
Chapter: Corps et polynômes 46 Download as PDF
Chapter: Géométrie algébrique 46 Download as PDF
Chapter: Algèbre linéaire et multilinéaire, théorie des matrices 47 Download as PDF
Chapter: Anneaux et algèbres 48 Download as PDF
Chapter: Catégories, algèbre homologique, cohomologie des groupes 49 Download as PDF
Chapter: Théorie des groupes et généralisations 49 Download as PDF
Chapter: Mesure et intégration 51 Download as PDF
Chapter: Fonctions d'une variable complexe 51 Download as PDF
Chapter: Équations différentielles ordinaires 51 Download as PDF
Chapter: Equations aux dérivées partielles 52 Download as PDF
Chapter: Systèmes dynamiques et théorie ergodique 53 Download as PDF
Chapter: Équations aux différences finies, équations fonctionnelles 54 Download as PDF
Chapter: Analyse de Fourier, analyse harmonique abstraite 54 Download as PDF
Chapter: Transformations intégrales, calcul opérationnel 54 Download as PDF
Chapter: Analyse fonctionnelle 55 Download as PDF
Chapter: Théorie des opérateurs 56 Download as PDF
Chapter: Calcul des variations 58 Download as PDF
Chapter: Géométrie 58 Download as PDF
Chapter: Ensembles convexes et inégalités géométriques 60 Download as PDF
Chapter: Géométrie différentielle 60 Download as PDF
Chapter: Topologie générale 61 Download as PDF
Chapter: Topologie algébrique 62 Download as PDF
Chapter: Topologie des variétés, analyse globale et analyse des variétés 62 Download as PDF
Chapter: Probabilités et processus stochastiques 63 Download as PDF
Chapter: Statistique 65 Download as PDF
Chapter: Analyse numérique 67 Download as PDF
Chapter: Informatique 68 Download as PDF
Chapter: Mécanique des particules et systèmes 70 Download as PDF
Chapter: Mécanique des solides, élasticité et plasticité 70 Download as PDF
Chapter: Mécanique des fluides, acoustique 71 Download as PDF
Chapter: Thermodynamique classique, propagation de la chaleur 71 Download as PDF
Chapter: Physique statistique, structure de la matière 71 Download as PDF
Chapter: Astronomie et astrophysique 71 Download as PDF
Chapter: Économie, recherche opérationnelle, jeux 72 Download as PDF
Chapter: Biologie et sciences du comportement 72 Download as PDF
Chapter: Systèmes, contrôle optimal 72 Download as PDF
Chapter: Information, communication, circuits 73 Download as PDF
Back matter Download as PDF
Front matter Download as PDF
Index Download as PDF
Back matter Download as PDF
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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.»

ist heute noch aktuell.

About the company:

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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Die Bände der jeweils letzten fünf Jahre sind nur in gedruckter Form bei Bibliotheken einzusehen oder beim Verlag zu beziehen.

Metadata information:

Title:L'Enseignement Mathématique
Period:1899-ff

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