L'Enseignement Mathématique

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Volume 49 (2003): 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: CARACTÉRISATION GÉOMÉTRIQUE DES SOLUTIONS DE MINIMAX POUR L'ÉQUATION DE HAMILTON-JACOBI 3 Download as PDF
Abstract 3 Download as PDF
Chapter: Introduction 3 Download as PDF
Chapter: 1. MINIMAX D'UNE FONCTION QUADRATIQUE À L'INFINI 5 Download as PDF
Chapter: 1.1 Préliminaires 5 Download as PDF
Chapter: 1.2 Points critiques incidents, liés et libres 8 Download as PDF
Chapter: 1.3 Le niveau critique de minimax 10 Download as PDF
Chapter: 2. La solution de minimax 13 Download as PDF
Chapter: 2.1 Rappels de géométrie symplectique 13 Download as PDF
Chapter: 2.2 La solution géométrique de (PC) 17 Download as PDF
Chapter: 2.3 La solution de minimax 20 Download as PDF
Chapter: 3. Caractérisation géométrique de la solution de minimax 22 Download as PDF
Chapter: 3.1 Notations 22 Download as PDF
Chapter: 3.2 DÉCOMPOSITIONS ADMISSIBLES (D'APRÈS CHEKANOV ET PUSHKAR) 23 Download as PDF
Chapter: 3.3 Caractérisation géométrique du minimax 25 Download as PDF
Chapter: 3.4 Triangles évanescents 29 Download as PDF
Bibliography 33 Download as PDF
Article: LECTURES ON QUASI-INVARIANTS OF COXETER GROUPS AND THE CHEREDNIK ALGEBRA 35 Download as PDF
Chapter: Introduction 35 Download as PDF
Chapter: 1. Lecture 1 36 Download as PDF
Chapter: 1.1 Définition of quasi-invariants 36 Download as PDF
Chapter: 1.2 Elementary properties of $Q_m$ 37 Download as PDF
Chapter: 1.3 The variety $X_m$ and its bijective normalization 38 Download as PDF
Chapter: 1.4 FURTHER PROPERTIES OF $X_m$ 39 Download as PDF
Chapter: 1.5 The Poincaré séries of $Q_m$ 40 Download as PDF
Chapter: 1.6 The ring of differential operators on $X_m$ 43 Download as PDF
Chapter: 2. Lecture 2 43 Download as PDF
Chapter: 2.1 Hamiltonian mechanics and integrable Systems 43 Download as PDF
Chapter: 2.2 The classical Calogero-Moser System 44 Download as PDF
Chapter: 2.3 The quantum Calogero-Moser System 45 Download as PDF
Chapter: 2.4 The algebra of differential-reflection operators 46 Download as PDF
Chapter: 2.5 Dunkl operators and symmetric quantum integrals 48 Download as PDF
Chapter: 2.6 Additional integrals for integer valued c 50 Download as PDF
Chapter: 2.7 An example 52 Download as PDF
Chapter: 3. Lecture 3 53 Download as PDF
Chapter: 3.1 Shift operator and construction of the Baker-Akhiezer function 53 Download as PDF
Chapter: 3.2 Berest's formula for $L_q$ 54 Download as PDF
Chapter: 3.3 Differential operators on $X_m$ 57 Download as PDF
Chapter: 3.4 The Cherednik algebra 58 Download as PDF
Chapter: 3.5 The spherical subalgebra 59 Download as PDF
Chapter: 3.6 Category O 60 Download as PDF
Chapter: 3.7 Generic c 61 Download as PDF
Chapter: 3.8 The Levasseur-Stafford theorem and its generalization 62 Download as PDF
Chapter: 3.9 The action of the Cherednik algebra to quasi-invariants 62 Download as PDF
Chapter: 3.10 Proof of Theorem 1.8 63 Download as PDF
Chapter: 3.11 Proof of Theorem 1.15 63 Download as PDF
Bibliography 64 Download as PDF
Article: SOME REMARKS ON NONCONNECTED COMPACT LIE GROUPS 67 Download as PDF
Abstract 67 Download as PDF
Chapter: 1. Introduction 67 Download as PDF
Chapter: 2. Compact Lie groups :a review 70 Download as PDF
Chapter: 3. Compact Lie groups and extensions 72 Download as PDF
Chapter: 4. Proof of the Main Theorem and examples 75 Download as PDF
Chapter: 5. Splitting of the extension ASSOCIATED TO A NONCONNECTED COMPACT LIE GROUP 80 Download as PDF
Bibliography 83 Download as PDF
Article: ATIYAH'S $L^2$-INDEX THEOREM 85 Download as PDF
Chapter: 1. Introduction 85 Download as PDF
Chapter: 2. REVIEW OF THE $L^2$ -INDEX THEOREM 85 Download as PDF
Chapter: 3. Hilbert modules 88 Download as PDF
Chapter: 4. On K-homology 89 Download as PDF
Chapter: 5. Algebraic proof of Atiyah's $L2$-index theorem 91 Download as PDF
Bibliography 92 Download as PDF
Article: UNE PREUVE DU THÉORÈME DE LIOUVILLE EN GÉOMÉTRIE CONFORME DANS LE CAS ANALYTIQUE 95 Download as PDF
Chapter: 1. Introduction 95 Download as PDF
Chapter: 2. Invariance conforme des géodésiques isotropes 96 Download as PDF
Chapter: 3. Une application: le théorème de Liouville dans le cas analytique 98 Download as PDF
Bibliography 100 Download as PDF
Article: IDEAL SOLUTIONS OF THE TARRY-ESCOTT PROBLEM OF DEGREES FOUR AND FIVE AND RELATED DIOPHANTINE SYSTEMS 101 Download as PDF
Abstract 101 Download as PDF
Chapter: 1. Introduction 101 Download as PDF
Chapter: 2. Ideal non-symmetric solutions of the Tarry-Escott problem of degree four 102 Download as PDF
Chapter: 3. Ideal non-symmetric solutions of the Tarry-Escott problem of degree five 105 Download as PDF
Bibliography 108 Download as PDF
Article: ADDITIVE NUMBER THEORY SHEDS EXTRA LIGHT ON THE HOPF-STIEFEL o FUNCTION 109 Download as PDF
Abstract 109 Download as PDF
Chapter: 1. Introduction 109 Download as PDF
Chapter: 2. Proof of Theorem 4 112 Download as PDF
Chapter: 2.1 The lower bound 112 Download as PDF
Chapter: 2.2 The upper bound 113 Download as PDF
Chapter: 3. From Theorem 3 to Theorem 1 114 Download as PDF
Bibliography 115 Download as PDF
Article: NOTE ON THE HOPF-STIEFEL FUNCTION 117 Download as PDF
Chapter: Introduction 117 Download as PDF
Chapter: 1. Deriving Theorem 1 from Theorem 2 118 Download as PDF
Chapter: 2. Proof of Theorem 2 120 Download as PDF
Bibliography 122 Download as PDF
Article: TILE HOMOTOPY GROUPS 123 Download as PDF
Abstract 123 Download as PDF
Chapter: 1. Introduction 123 Download as PDF
Chapter: 2. Tiling and integer programming 126 Download as PDF
Chapter: 3. Boundary words 131 Download as PDF
Chapter: 4. Tile homotopy groups 136 Download as PDF
Chapter: 5. Strategy for working with tile path groups 140 Download as PDF
Chapter: 6. Criteria for $\pi(\Tau)$ to be abelian 148 Download as PDF
Appendix: 7. Appendix: further examples 151 Download as PDF
Bibliography 154 Download as PDF
Article: SYMPLECTIC LOOK AT SURFACES OF REVOLUTION 157 Download as PDF
Chapter: 1. Introduction 157 Download as PDF
Chapter: 2. Abstract surfaces of revolution 158 Download as PDF
Chapter: 3. Metrics of specified curvature 166 Download as PDF
Bibliography 172 Download as PDF
Article: QUADRICS, ORTHOGONAL ACTIONS AND INVOLUTIONS IN COMPLEX PROJECTIVE SPACES 173 Download as PDF
Chapter: 0. Introduction 173 Download as PDF
Chapter: 1. ON THE TOPOLOGY OF A QUADRIC IN $P_C^n$ 177 Download as PDF
Chapter: 2. ON THE GEOMETRY OF $P_C^n$ 181 Download as PDF
Chapter: 3. $P_C^2$ AND THE 4-SPHERE $S^4$ 188 Download as PDF
Chapter: 4. SOME APPLICATIONS AND REMARKS 195 Download as PDF
Bibliography 201 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 205 Download as PDF
Chapter: DISCUSSION DOCUMENT FOR THE FOURTEENTH ICMI STUDY APPLICATIONS AND MODELLING IN MATHEMATICS EDUCATION 205 Download as PDF
Chapter: 1. Rationale for the Study 205 Download as PDF
Chapter: 2. Framework for the Study 207 Download as PDF
Chapter: 2.1 Concepts and notions 207 Download as PDF
Chapter: 2.2 Structure of the topic applications and modelling in mathematics education 208 Download as PDF
Chapter: 3. Examples of important issues 209 Download as PDF
Chapter: 3.1 Epistemology 209 Download as PDF
Chapter: 3.2 Application problems 210 Download as PDF
Chapter: 3.3 Modelling abilities and competencies 210 Download as PDF
Chapter: 3.4 Beliefs, attitudes, and emotions 210 Download as PDF
Chapter: 3.5 Curriculum and goals 211 Download as PDF
Chapter: 3.6 Modelling pedagogy 212 Download as PDF
Chapter: 3.7 SUSTAINED IMPLEMENTATION 212 Download as PDF
Chapter: 3.8 Assessment and evaluation 213 Download as PDF
Chapter: 3.9 Technological impacts 213 Download as PDF
Chapter: 4. Call for contributions to the Study 214 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 6 Download as PDF
Chapter: Théorie des ensembles 7 Download as PDF
Chapter: Analyse combinatoire 7 Download as PDF
Chapter: Ordre, treillis 8 Download as PDF
Chapter: Théorie des nombres 8 Download as PDF
Chapter: Corps et polynômes 11 Download as PDF
Chapter: Géométrie algébrique 12 Download as PDF
Chapter: Anneaux et algèbres 12 Download as PDF
Chapter: Théorie des groupes et généralisations 13 Download as PDF
Chapter: Mesure et intégration 14 Download as PDF
Chapter: Fonctions d'une variable complexe 14 Download as PDF
Chapter: Equations différentielles ordinaires 15 Download as PDF
Chapter: Systèmes dynamiques et théorie ergodique 15 Download as PDF
Chapter: Analyse de Fourier, analyse harmonique abstraite 16 Download as PDF
Chapter: Analyse fonctionnelle 16 Download as PDF
Chapter: Théorie des opérateurs 18 Download as PDF
Chapter: Calcul des variations 18 Download as PDF
Chapter: Géométrie 19 Download as PDF
Chapter: Topologie générale 20 Download as PDF
Chapter: Topologie algébrique 21 Download as PDF
Chapter: Topologie des variétés, analyse globale et analyse des variétés 21 Download as PDF
Chapter: Probabilités et processus stochastiques 23 Download as PDF
Chapter: Statistique 24 Download as PDF
Chapter: Analyse numérique 25 Download as PDF
Chapter: Informatique 25 Download as PDF
Chapter: Mécanique des solides, élasticité et plasticité 26 Download as PDF
Chapter: Optique, électromagnétique 26 Download as PDF
Chapter: Economie, recherche opérationnelle, jeux 26 Download as PDF
Chapter: Systèmes, contrôle optimal 27 Download as PDF
Back matter 28 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 215 Download as PDF
Front matter 216 Download as PDF
Article: ON THE ENTROPY OF HOLOMORPHIC MAPS 217 Download as PDF
Chapter: §1. Notation and definitions 218 Download as PDF
Chapter: §2. ESTIMATES OF DENSITY 219 Download as PDF
Chapter: §3. KÄHLER MANIFOLDS 221 Download as PDF
Chapter: §4. Real algebraic maps 224 Download as PDF
Chapter: §5. Quasiconformal maps 227 Download as PDF
Chapter: §6. Mean curvature 229 Download as PDF
Appendix: Appendix : Examples of holomorphic endomorphisms 230 Download as PDF
Bibliography 231 Download as PDF
Chapter: Note des Éditeurs 232 Download as PDF
Article: NOTES SUR L'ARTICLE DE M. GROMOV 232 Download as PDF
Bibliography 234 Download as PDF
Article: ENDOMORPHISMES DES VARIÉTÉS HOMOGÈNES 237 Download as PDF
Chapter: 1. Introduction 237 Download as PDF
Chapter: 2. Endomorphismes des variétés complexes compactes 239 Download as PDF
Chapter: 2.1 Dimension de Kodaira 240 Download as PDF
Chapter: 2.2 Action d'un endomorphisme et ramification 241 Download as PDF
Chapter: 2.3 Fibration d'Albanese 242 Download as PDF
Chapter: 2.4 Petite dimension 243 Download as PDF
Chapter: 2.5 Une question proche 243 Download as PDF
Chapter: 3. Variétés homogènes kählériennes 244 Download as PDF
Chapter: 3.1 Tores 244 Download as PDF
Chapter: 3.2 Variétés de drapeaux 244 Download as PDF
Chapter: 3.3 Cas général 247 Download as PDF
Chapter: 4. Invariance de la fibration de Tits 248 Download as PDF
Chapter: 4.1 La fibration de Tits 248 Download as PDF
Chapter: 4.2 Première application 249 Download as PDF
Chapter: 5. Quelques exemples 249 Download as PDF
Chapter: 6. Existence de facteurs inversibles. 252 Download as PDF
Chapter: 6.1 Structure de la fibration de Tits 253 Download as PDF
Chapter: 6.2 Un théorème de Jörg Winkelmann 254 Download as PDF
Chapter: 6.3 Endomorphismes agissant par automorphismes dans les fibres 255 Download as PDF
Chapter: 6.4 Application 258 Download as PDF
Chapter: 7. Endomorphismes irréductibles 258 Download as PDF
Bibliography 261 Download as PDF
Article: HYPERBOLICITY OF MAPPING-TORUS GROUPS AND SPACES 263 Download as PDF
Abstract 263 Download as PDF
Chapter: Introduction 263 Download as PDF
Chapter: 1. An illustration 268 Download as PDF
Chapter: 2. Mapping-telescopes and forest-stacks 271 Download as PDF
Chapter: 3. Metrics 272 Download as PDF
Chapter: 3.1 Horizontal and vertical metrics 272 Download as PDF
Chapter: 3.2 Telescopic metric 275 Download as PDF
Chapter: 4. Main theorem 276 Download as PDF
Chapter: 5. PRELIMINARY WORK 278 Download as PDF
Chapter: 5.1 About dilatation in cancellations 280 Download as PDF
Chapter: 5.2 Straight telescopic paths 282 Download as PDF
Chapter: 6. About straight quasi geodesics 283 Download as PDF
Chapter: 7. Substitution of quasi geodesics 285 Download as PDF
Chapter: 8. Approximation of straight quasi geodesics in fine position 288 Download as PDF
Chapter: 9. PUTTING PATHS IN FINE POSITION 289 Download as PDF
Chapter: 10. Straight quasi geodesic bigons are thin 291 Download as PDF
Chapter: 11. Geodesic triangles are thin 293 Download as PDF
Chapter: 12. Back to mapping-telescopes 296 Download as PDF
Chapter: 12.1 Statement of the theorem 296 Download as PDF
Chapter: 12.2 Proof of Theorem 12.4 298 Download as PDF
Chapter: 13. About mapping-torus groups 298 Download as PDF
Chapter: 13.1 Relationships with mapping-telescopes 299 Download as PDF
Chapter: 13.2 Free group endomorphisms and forest-maps 301 Download as PDF
Chapter: 13.3 Proof of Theorem 13.2 303 Download as PDF
Bibliography 304 Download as PDF
Article: THE BASIC GERBE OVER A COMPACT SIMPLE LIE GROUP 307 Download as PDF
Abstract 307 Download as PDF
Chapter: 1. Introduction 307 Download as PDF
Chapter: 2. Gerbes with connections 309 Download as PDF
Chapter: 2.1 Chatterjee-Hitchin gerbes 309 Download as PDF
Chapter: 2.2 Bundle gerbes 310 Download as PDF
Chapter: 2.3 Simplicial gerbes 311 Download as PDF
Chapter: 2.4 Equivariant bundle gerbes 315 Download as PDF
Chapter: 3. Gerbes from principal bundles 316 Download as PDF
Chapter: 4. Gluing data 319 Download as PDF
Chapter: 5. The basic gerbe over a compact simple Lie group 323 Download as PDF
Chapter: 5.1 Notation 323 Download as PDF
Chapter: 5.2 The basic 3-form on G 324 Download as PDF
Chapter: 5.3 The special unitary group 326 Download as PDF
Chapter: 6. Pre-quantization of conjugacy classes 329 Download as PDF
Appendix: Appendix A. Proof of Lemma 4.4 331 Download as PDF
Bibliography 332 Download as PDF
Article: ANALYSE DE FOURIER DES FRACTIONS CONTINUES À QUOTIENTS RESTREINTS 335 Download as PDF
Abstract 335 Download as PDF
Chapter: 1. Introduction 335 Download as PDF
Chapter: 2. Les ensembles F(A) 337 Download as PDF
Chapter: 3. Dimension de Hausdorff 340 Download as PDF
Chapter: 4. Une mesure spéciale 341 Download as PDF
Chapter: 5. Intégrales oscillantes 344 Download as PDF
Chapter: 6. Estimation de la transformée de Fourier 345 Download as PDF
Chapter: 7. Une question de Montgomery 352 Download as PDF
Chapter: 8. COMMENTAIRES ET QUESTIONS 354 Download as PDF
Bibliography 355 Download as PDF
Article: ON THE CLASSIFICATION OF RATIONAL KNOTS 357 Download as PDF
Abstract 357 Download as PDF
Chapter: 1. Introduction 357 Download as PDF
Chapter: 2. Rational tangles and their invariant fractions 362 Download as PDF
Chapter: 3. The classification of unoriented rational knots 373 Download as PDF
Chapter: 3.1 The cuts 375 Download as PDF
Chapter: 3.2 The flypes 384 Download as PDF
Chapter: 4. Rational knots and their mirror images 392 Download as PDF
Chapter: 5. On connectivity 393 Download as PDF
Chapter: 6. The oriented case 395 Download as PDF
Chapter: 7. Strongly invertible links 405 Download as PDF
Bibliography 407 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 29 Download as PDF
Chapter: Généralités 29 Download as PDF
Chapter: Histoire 35 Download as PDF
Chapter: Logique et fondements 36 Download as PDF
Chapter: Analyse combinatoire 36 Download as PDF
Chapter: Théorie des nombres 37 Download as PDF
Chapter: Corps et polynômes 38 Download as PDF
Chapter: Géométrie algébrique 38 Download as PDF
Chapter: Anneaux et algèbres 40 Download as PDF
Chapter: K-théorie 41 Download as PDF
Chapter: Théorie des groupes et généralisations 41 Download as PDF
Chapter: Groupes topologiques ; groupes et algèbres de Lie 42 Download as PDF
Chapter: Fonctions d'une variable complexe 42 Download as PDF
Chapter: Fonctions de plusieurs variables complexes 43 Download as PDF
Chapter: Équations différentielles ordinaires 44 Download as PDF
Chapter: Équations aux dérivées partielles 44 Download as PDF
Chapter: Systèmes dynamiques et théorie ergodique 44 Download as PDF
Chapter: Approximations et développements en série 45 Download as PDF
Chapter: Analyse de Fourier, analyse harmonique abstraite 46 Download as PDF
Chapter: Analyse fonctionnelle 46 Download as PDF
Chapter: Théorie des opérateurs 47 Download as PDF
Chapter: Calcul des variations et contrôle optimal 47 Download as PDF
Chapter: Géométrie 48 Download as PDF
Chapter: Géométrie différentielle 48 Download as PDF
Chapter: Topologie algébrique 49 Download as PDF
Chapter: Topologie des variétés, analyse globale et analyse des variétés 50 Download as PDF
Chapter: Probabilités et processus stochastiques 51 Download as PDF
Chapter: Statistique 51 Download as PDF
Chapter: Analyse numérique 52 Download as PDF
Chapter: Informatique 53 Download as PDF
Chapter: Mécanique des fluides, acoustique 53 Download as PDF
Chapter: Biologie et sciences du comportement 54 Download as PDF
Chapter: Information, communication, circuits 54 Download as PDF
Back matter Download as PDF
Front matter Download as PDF
Index Download as PDF
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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.

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

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Title:L'Enseignement Mathématique
Period:1899-ff

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