L'Enseignement Mathématique

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Volume 39 (1993): 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: DENSITY RESULTS ON FAMILIES OF DIOPHANTINE EQUATIONS WITH FINITELY MANY SOLUTIONS 3 Download as PDF
Bibliography 22 Download as PDF
Article: ELLIPTIC SPACES II 25 Download as PDF
Abstract 25 Download as PDF
Chapter: 1. Introduction 25 Download as PDF
Chapter: 2. The dichotomy 26 Download as PDF
Chapter: 3. Elliptic spaces 29 Download as PDF
Bibliography 31 Download as PDF
Article: GÈBRES 33 Download as PDF
Abstract: Sommaire 34 Download as PDF
Chapter: Commentaires du rédacteur 35 Download as PDF
Chapter: §1. Cogèbres et comodules (généralités) 36 Download as PDF
Chapter: 1.1. Cogèbres 36 Download as PDF
Chapter: 1.2. Comodules 37 Download as PDF
Chapter: 1.3. Une formule d'adjonction 39 Download as PDF
Chapter: 1.4. Conséquences d'une hypothèse de platitude 40 Download as PDF
Chapter: §2. COGÈBRES SUR UN CORPS 42 Download as PDF
Chapter: 2.1. Sous-cogèbres 42 Download as PDF
Chapter: 2.2. Dualité entre cogèbres et algèbres profinies 43 Download as PDF
Chapter: 2.3. Traductions 45 Download as PDF
Chapter: 2.4. Correspondance entre sous-cogèbres et sous-catégories de $Com_C^f$. 46 Download as PDF
Chapter: 2.5. OÙ L'ON CARACTÉRISE $Com_C^f$ 48 Download as PDF
Chapter: §3. Bigèbres 51 Download as PDF
Chapter: 3.1. DÉFINITIONS ET CONVENTIONS 51 Download as PDF
Chapter: 3.2. Correspondance entre comodules et G-modules 52 Download as PDF
Chapter: 3.3. SOUS-BIGÈBRES 56 Download as PDF
Chapter: 3.4. Une interprétation des points de G 57 Download as PDF
Chapter: 3.5. Interprétation de G comme limite projective de groupes ALGÉBRIQUES LINÉAIRES 60 Download as PDF
Chapter: §4. Enveloppes 62 Download as PDF
Chapter: 4.1. COMPLÉTION D'UNE ALGÈBRE 62 Download as PDF
Chapter: 4.2. La bigèbre d'un groupe 63 Download as PDF
Chapter: 4.3. L'ENVELOPPE D'UN GROUPE RELATIVEMENT À UNE CATÉGORIE DE REPRÉSENTATIONS 65 Download as PDF
Chapter: §5. Groupes compacts et groupes complexes 67 Download as PDF
Chapter: 5.1. Algébricité des groupes compacts 67 Download as PDF
Chapter: 5.2. L'ENVELOPPE D'UN GROUPE COMPACT 69 Download as PDF
Chapter: 5.3. L'ENVELOPPE COMPLEXE D'UN GROUPE COMPACT 72 Download as PDF
Chapter: 5.4. Retour aux groupes anisotropes 75 Download as PDF
Chapter: 5.5. Groupes de Lie complexes réductifs 76 Download as PDF
Chapter: Exercices 79 Download as PDF
Chapter: §1 79 Download as PDF
Chapter: §2 80 Download as PDF
Chapter: §3 80 Download as PDF
Chapter: §4 81 Download as PDF
Chapter: §5 83 Download as PDF
Bibliography 85 Download as PDF
Article: MAXIMALLY COMPLETE FIELDS 87 Download as PDF
Abstract 87 Download as PDF
Chapter: I. Introduction 87 Download as PDF
Chapter: 2. Preliminaires 88 Download as PDF
Chapter: 3. Mal'cev-Neumann rings 89 Download as PDF
Chapter: 4. p-adic Mal'cev-Neumann fields 91 Download as PDF
Chapter: 5. Maximality of Mal'cev-Neumann fields 94 Download as PDF
Chapter: 6. Applications 100 Download as PDF
Chapter: 7. Example: the maximally complète immédiate extension of $\bar{Q}_p$ 101 Download as PDF
Bibliography 105 Download as PDF
Article: HURWITZ QUATERNIONIC INTEGERS AND SEIFERT FORMS 107 Download as PDF
Chapter: §1. Introduction 107 Download as PDF
Chapter: §2. The root System $D_4$ and the Hurwitz quaternionic integers 108 Download as PDF
Chapter: §3. Perfect isometries of H-lattices 111 Download as PDF
Chapter: §4. Automorphisms of the root System $nD_4$ and perfect isometries 112 Download as PDF
Chapter: §5. Main Theorem and examples 116 Download as PDF
Bibliography 119 Download as PDF
Article: JACOBI FORMS AND SIEGEL MODULAR FORMS: RECENT RESULTS AND PROBLEMS 121 Download as PDF
Chapter: Introduction 121 Download as PDF
Chapter: §1. Preliminaries on Siegel modular forms and Jacobi forms 121 Download as PDF
Chapter: 1.1. Siegel modular forms of genus 2 121 Download as PDF
Chapter: 1.2. Jacobi forms 122 Download as PDF
Chapter: §2. The Maass space 123 Download as PDF
Chapter: 2.1. Results 123 Download as PDF
Chapter: 2.2. Problems 126 Download as PDF
Chapter: §3. Spinor zeta functions 128 Download as PDF
Chapter: 3.1. Results 128 Download as PDF
Chapter: 1.2 Problems 130 Download as PDF
Chapter: §4. ESTIMATES FOR FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS 131 Download as PDF
Chapter: 4.1. Results 131 Download as PDF
Chapter: 4.2. PROBLEMS 132 Download as PDF
Bibliography 134 Download as PDF
Article: QUICK LOWER BOUNDS FOR REGULATORS OF NUMBER FIELDS 137 Download as PDF
Abstract 137 Download as PDF
Rubric 138 Download as PDF
Bibliography 141 Download as PDF
Article: THE OKA-PRINCIPLE FOR MAPPINGS BETWEEN RIEMANN SURFACES 143 Download as PDF
Bibliography 151 Download as PDF
Article: POLYNÔMES ASSOCIÉS AUX ENDOMORPHISMES DE GROUPES LIBRES 153 Download as PDF
Abstract 153 Download as PDF
Abstract 153 Download as PDF
Chapter: I. Introduction 154 Download as PDF
Chapter: II. DÉTERMINATION DU NOYAU DE Φ 157 Download as PDF
Chapter: III. Applications polynomiales laissant λ invariant Caractérisation des σ tels que $Q_\sigma = 1$ 160 Download as PDF
Chapter: IV. Etude des relations $\Phi_\sigma = \Phi_\tau$ et $Q_\sigma = 0$. 162 Download as PDF
Chapter: V. Autres propriétés des polynômes Qa 164 Download as PDF
Chapter: VI. Cas d'un groupe libre à plus de deux générateurs 168 Download as PDF
Bibliography 174 Download as PDF
Article: THE SUM OF THE CANTOR SET WITH ITSELF 177 Download as PDF
Bibliography 178 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 179 Download as PDF
Chapter: WHAT IS RESEARCH IN MATHEMATICS EDUCATION, AND WHAT ARE ITS RESULTS? 179 Download as PDF
Chapter: Discussion Document for an ICMI Study 179 Download as PDF
Chapter: Some Questions About Research 180 Download as PDF
Chapter: 1. What is the specific objet of study in mathematics education? 181 Download as PDF
Chapter: 2. What are the aims of research in mathematics education? 181 Download as PDF
Chapter: 3. WHAT ARE THE SPECIFIC RESEARCH QUESTIONS OR PROBLÉMATIQUES OF RESEARCH IN MATHEMATICS EDUCATION? 183 Download as PDF
Chapter: 4. WHAT ARE THE RESULTS OF RESEARCH IN MATHEMATICS EDUCATION? 183 Download as PDF
Chapter: 5. What criteria should be used to evaluate the results of research in mathematics education? 185 Download as PDF
Chapter: Call for Papers 185 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 1 Download as PDF
Back matter 46 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 187 Download as PDF
Front matter 188 Download as PDF
Article: PONCELET'S THEOREM AND DUAL BILLIARDS 189 Download as PDF
Bibliography 194 Download as PDF
Article: IDÉAUX NÉGATIVEMENT RÉDUITS D'UN CORPS QUADRATIQUE RÉEL ET UN PROBLÈME D'EISENSTEIN 195 Download as PDF
Chapter: §1. Introduction 195 Download as PDF
Chapter: §2. Classes d'idéaux au sens strict et réduction négative 196 Download as PDF
Chapter: §3. L'HOMOMORPHISME Θ ET L'APPLICATION Ψ 204 Download as PDF
Chapter: §4. Exemples numériques 208 Download as PDF
Bibliography 210 Download as PDF
Article: COMBINATOIRE ET TYPE TOPOLOGIQUE DES APPLICATIONS POLYNOMIALES DE $C^2$ DANS C 211 Download as PDF
Chapter: §1. Introduction 211 Download as PDF
Chapter: §2. COMBINATOIRE ET INFINI 214 Download as PDF
Chapter: §3. Combinatoire et conjugaison topologique 216 Download as PDF
Chapter: §4. Utilisations d'un couple de Zariski 219 Download as PDF
Bibliography 224 Download as PDF
Article: SMOOTHLY EMBEDDED 2-SPHERES AND EXOTIC 4-MANIFOLDS 225 Download as PDF
Chapter: 1. Introduction 225 Download as PDF
Chapter: 2. The manifolds M(k,l, m) 227 Download as PDF
Bibliography 231 Download as PDF
Article: CARROUSEL MONODROMY AND LEFSCHETZ NUMBER OF SINGULARITIES 233 Download as PDF
Chapter: Introduction 233 Download as PDF
Chapter: 1. The carrousel revisited 234 Download as PDF
Chapter: 2. Lefschetz number via the carrousel 238 Download as PDF
Chapter: 3. Zeta-function and carrousel monodromies 241 Download as PDF
Bibliography 246 Download as PDF
Article: REMARKS AND PROBLEMS ON FINITE AND PERIODIC CONTINUED FRACTIONS 249 Download as PDF
Abstract 249 Download as PDF
Chapter: §1. A FRUSTRATING QUESTION 249 Download as PDF
Chapter: §2. A QUESTION CONCERNING PISOT NUMBERS 250 Download as PDF
Chapter: §3. More questions on $\delta(x^n)$ 251 Download as PDF
Chapter: §4. Related problems 252 Download as PDF
Chapter: 5. More questions 253 Download as PDF
Chapter: §6. Quadratic surds 255 Download as PDF
Bibliography 256 Download as PDF
Article: TREPREAU'S EXAMPLE, A PEDESTRIAN APPROACH 259 Download as PDF
Chapter: I. Introduction 259 Download as PDF
Chapter: II. The heart of the matter 260 Download as PDF
Chapter: III. Lifting to $C^3$ 262 Download as PDF
Chapter: IV. Trepeau's ex ample 263 Download as PDF
Chapter: V. More 265 Download as PDF
Chapter: VI. Trepreau does more 268 Download as PDF
Bibliography 268 Download as PDF
Article: UNE VERSION NON COMMUTATIVE DES ALGÈBRES DE LIE: LES ALGÈBRES DE LEIBNIZ 269 Download as PDF
Chapter: 1. Algèbres de Leibniz 271 Download as PDF
Chapter: 2. Exemples d'algèbres de Leibniz 272 Download as PDF
Chapter: 3. DÉRIVATIONS ET BIDÉRIVATIONS 275 Download as PDF
Chapter: 4. Extensions abéliennes d'algèbres de Leibniz et représentations 275 Download as PDF
Chapter: 5. Algèbre enveloppante (cf. [L-P]). 277 Download as PDF
Chapter: 6. Cohomologie et homologie d'une algèbre de Leibniz (cf. [L1], [C], [L-P]) 279 Download as PDF
Chapter: 7. Calculs de groupes d'homologie HL 283 Download as PDF
Chapter: 8. Liens avec la topologie algébrique 286 Download as PDF
Chapter: 9. Homologie non commutative des algèbres associatives 288 Download as PDF
Chapter: 10. HOMOLOGIE NON COMMUTATIVE DES GROUPES ET K-THÉORIE DES CORPS 290 Download as PDF
Chapter: 11. Intégrer les algèbres de Leibniz 292 Download as PDF
Bibliography 292 Download as PDF
Article: SUR LES INVARIANTS DE VASSILIEV DE DEGRÉ INFÉRIEUR OU ÉGAL À 3 295 Download as PDF
Chapter: 0. Introduction 295 Download as PDF
Chapter: 1. Invariants de Vassiliev de degré fini (d'après Vassiliev, Birman et Lin, Bar-Natan) 296 Download as PDF
Chapter: 2. Formalisme relatif aux nœuds de $R^3$ AU-DESSUS D'UNE IMMERSION GÉNÉRIQUE DE $S^1$ DANS $R^2$ 298 Download as PDF
Chapter: 3. Relations d'intersection 302 Download as PDF
Chapter: 4. Expression des invariants de Vassiliev de degré inférieur ou égal à 3 en termes de points de croisement 303 Download as PDF
Bibliography 316 Download as PDF
Article: ZEROS OF POLYNOMIALS WITH 0, 1 COEFFICIENTS 317 Download as PDF
Abstract 317 Download as PDF
Chapter: 1. Introduction 317 Download as PDF
Chapter: 2. BOUNDS AND LOCATIONS FOR ZEROS 326 Download as PDF
Chapter: 3. A NEIGHBORHOOD OF THE UNIT CIRCLE 331 Download as PDF
Chapter: 4. $\bar{W}$ IS CONNECTED 335 Download as PDF
Chapter: 5. $\bar{W}$ IS PATH CONNECTED 339 Download as PDF
Chapter: 6. Graphs, computations, and the shape of $\bar{W}$ 343 Download as PDF
Bibliography 347 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 47 Download as PDF
Back matter 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.»

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.

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Title:L'Enseignement Mathématique
Period:1899-ff

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