L'Enseignement Mathématique

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Volume 38 (1992): 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: UNE REMARQUE SUR LE SPECTRE DES SOLUTIONS MATRICIELLES DE L'ÉQUATION DE RICCATI 3 Download as PDF
Bibliography 11 Download as PDF
Article: THE MEAN SQUARE OF THE RIEMANN ZETA-FUNCTION ON THE LINE σ = 1 13 Download as PDF
Abstract 13 Download as PDF
Rubric 14 Download as PDF
Bibliography 25 Download as PDF
Article: THE CATEGORY OF NILMANIFOLDS 27 Download as PDF
Abstract 27 Download as PDF
Chapter: Introduction 27 Download as PDF
Chapter: §1. Category 28 Download as PDF
Chapter: §2. Rational homotopy and category 30 Download as PDF
Chapter: §3. NILMANIFOLDS 34 Download as PDF
Chapter: §4. Category of nilmanifolds 36 Download as PDF
Chapter: §5. HIGHER DEGREE ANALOGUES 37 Download as PDF
Chapter: §6. Ganea's conjecture 38 Download as PDF
Bibliography 39 Download as PDF
Article: PERMUTATION GROUPS GENERATED BY A TRANSPOSITION AND ANOTHER ELEMENT 41 Download as PDF
Abstract 41 Download as PDF
Chapter: 1. A GRAPH FOR A SUBGROUP CONTAINING A TRANSPOSITION 42 Download as PDF
Chapter: 2. An application to Galois theory 46 Download as PDF
Chapter: 3. TWO GENERATOR SUBGROUPS OF Sym(n) 46 Download as PDF
Bibliography 53 Download as PDF
Article: ACTIONS QUASI-LINÉAIRES SUR LES SPHÈRES 55 Download as PDF
Chapter: Introduction 55 Download as PDF
Chapter: 2. G-COBORDISMES D'ACTIONS 56 Download as PDF
Chapter: 3. Actions libres – Résultats généraux 59 Download as PDF
Chapter: 4. Actions libres d'un groupe cyclique fini 62 Download as PDF
Chapter: 5. Actions libres de $S^1$ 64 Download as PDF
Chapter: 6. Actions libres de $S^3$ 67 Download as PDF
Chapter: 7. Exemples d'actions quasi linéaires 68 Download as PDF
Bibliography 70 Download as PDF
Article: POLYÈDRES ET RÉSEAUX 71 Download as PDF
Chapter: 0. Introduction 71 Download as PDF
Chapter: 1. Fonctions caractéristiques 72 Download as PDF
Chapter: 1.1. Polynômes et séries de Laurent 72 Download as PDF
Chapter: 1.2. Fonctions caractéristiques de cônes et polyèdres 73 Download as PDF
Chapter: 2. Identités entre fonctions caractéristiques 75 Download as PDF
Chapter: 2.1 Un propriété d'additivité 75 Download as PDF
Chapter: 2.2. Polyèdres et fonctions d'appui 77 Download as PDF
Chapter: 2.3. Fonctions caractéristiques de polyèdres ouverts 78 Download as PDF
Chapter: 2.4. Fonctions caractéristiques pondérées 80 Download as PDF
Chapter: 3. Propriétés énumératives des polytopes convexes entiers 83 Download as PDF
Chapter: 3.1. Comportement polynomial de fonctions de comptage 83 Download as PDF
Chapter: 3.2. Loi de réciprocité 84 Download as PDF
Chapter: 3.3. Le cas d'un polytope rationnel 86 Download as PDF
Bibliography 87 Download as PDF
Article: LA NON-DÉRIVABILITÉ DE LA FONCTION DE WEIERSTRASS 89 Download as PDF
Chapter: 1. Propriétés de Lipschitz de la fonction de Weierstrass 89 Download as PDF
Chapter: 2. Cas où b est un entier impair 91 Download as PDF
Chapter: 3. Cas général 92 Download as PDF
Chapter: 4. Conclusion 94 Download as PDF
Bibliography 94 Download as PDF
Article: COMPLEX GROWTH SERIES OF COXETER SYSTEMS 95 Download as PDF
Chapter: 1. Introduction 95 Download as PDF
Chapter: 2. Complex growth series 97 Download as PDF
Bibliography 102 Download as PDF
Article: EMMY NOETHER: HIGHLIGHTS OF HER LIFE AND WORK 103 Download as PDF
Chapter: A. Her life 103 Download as PDF
Chapter: B. Her work 109 Download as PDF
Chapter: Invariant theory 110 Download as PDF
Chapter: Commutative algebra 113 Download as PDF
Chapter: Noncommutative algebra and representation theory 117 Download as PDF
Chapter: Applications of noncommutative to commutative algebra 119 Download as PDF
Chapter: C. Her legacy 120 Download as PDF
Bibliography 122 Download as PDF
Article: SIMPLE PROOF OF A THEOREM OF THUE ON THE MAXIMAL DENSITY OF CIRCLE PACKINGS IN $E^2$ 125 Download as PDF
Chapter: Introduction 125 Download as PDF
Chapter: Local cell and local density 125 Download as PDF
Chapter: Remark on the uniqueness of the finite packings of maximal density 130 Download as PDF
Bibliography 131 Download as PDF
Article: AN ANALOGUE OF HUBER'S FORMULA FOR RIEMANN'S ZETA FUNCTION 133 Download as PDF
Chapter: 1. Introduction 133 Download as PDF
Chapter: 2. OUTLINE OF THE LECTURE 134 Download as PDF
Bibliography 148 Download as PDF
Article: REAL NUMBERS WITH BOUNDED PARTIAL QUOTIENTS: A SURVEY 151 Download as PDF
Abstract 151 Download as PDF
Chapter: 1. Introduction and Definitions 151 Download as PDF
Chapter: 2. Numbers of Constant Type 152 Download as PDF
Chapter: 3. The Metric Theory of Continued Fractions 154 Download as PDF
Chapter: 4. Continued Fractions for Algebraic Numbers 156 Download as PDF
Chapter: 5. Certain Sums in Diophantine Approximation 158 Download as PDF
Chapter: 6. Fractal Geometry 159 Download as PDF
Chapter: 7. Schmidt's Game 160 Download as PDF
Chapter: 8. Hall's theorem 160 Download as PDF
Chapter: 9. EXPLICIT EXAMPLES OF TRANSCENDENTAL NUMBERS WITH BOUNDED PARTIAL QUOTIENTS 161 Download as PDF
Chapter: 10. "Quasi-Monte-Carlo" Methods and Zaremba's Conjecture 164 Download as PDF
Chapter: 11. Properties of the sequence nθ (mod 1) 166 Download as PDF
Chapter: 12. Discrepancy and Dispersion 167 Download as PDF
Chapter: 13. Connections with Ergodic Theory 168 Download as PDF
Chapter: 14. PSEUDO-RANDOM NUMBER GENERATION 169 Download as PDF
Chapter: 15. FORMAL LANGUAGE THEORY 169 Download as PDF
Chapter: 16. Other Results 170 Download as PDF
Chapter: 17. Related Results 171 Download as PDF
Chapter: 18. ACKNOWLEDGMENTS 171 Download as PDF
Bibliography 172 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 189 Download as PDF
Chapter: GENDER AND MATHEMATICS EDUCATION Key issues and questions Discussion Document for an ICMI Study 189 Download as PDF
Chapter: 1. Rationale for the study 189 Download as PDF
Chapter: 2. Factors generating gender inequities in mathematics 191 Download as PDF
Chapter: 3. Manifestations of gender inequities 193 Download as PDF
Chapter: 4. FOCI FOR CHANGE 194 Download as PDF
Chapter: 5. Call for papers 197 Download as PDF
Bibliography 198 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 1 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 199 Download as PDF
Front matter 200 Download as PDF
Article: KREISPACKUNGEN UND TRIANGULIERUNGEN 201 Download as PDF
Preface: 1. EINLEITUNG 201 Download as PDF
Chapter: 2. VORBEREITUNGEN 202 Download as PDF
Chapter: 3. Die funktion L: W → R 207 Download as PDF
Chapter: 4. IMMERSIERTE KREISPACKUNGEN 211 Download as PDF
Chapter: 5. Randwinkel 216 Download as PDF
Bibliography 217 Download as PDF
Article: POLYNÔMES HOMOGÈNES RÉELS AVEC GRADIENT À SINGULARITÉ ISOLÉE 219 Download as PDF
Abstract 219 Download as PDF
Chapter: 1. Introduction 219 Download as PDF
Chapter: 2. Exemples et cas particuliers 220 Download as PDF
Chapter: 3. Enoncés des résultats 224 Download as PDF
Chapter: 4. Preuves 225 Download as PDF
Bibliography 231 Download as PDF
Article: NOTES SUR L'INVARIANT DE CASSON DES SPHÈRES D'HOMOLOGIE DE DIMENSION TROIS 233 Download as PDF
Chapter: 1. Enoncé des résultats 234 Download as PDF
Chapter: 2. DÉMONSTRATION DE LA PROPOSITION (1.3) 238 Download as PDF
Chapter: 3. Construction de l'invariant de Casson 244 Download as PDF
Chapter: 4. DÉMONSTRATION DES PROPRIÉTÉS 1) ET 2) DE L'INVARIANT DE CASSON 256 Download as PDF
Appendix: Appendice A Polynôme d'Alexander et forme quadratique d'un entrelacs orienté: Formule de Conway et invariant de Robertello 267 Download as PDF
Appendix: Appendice B L'INVARIANT DE CASSON D'UN NŒUD DE GENRE 1 À SURFACE DE SEIFERT DÉNOUÉE 270 Download as PDF
Chapter: I. Représentations irréductibles d'un groupe libre À DEUX GÉNÉRATEURS 270 Download as PDF
Chapter: II. Un ouvert de représentations irréductibles DU GROUPE FONDAMENTAL D'UNE SURFACE DE GENRE 2 272 Download as PDF
Chapter: III. DÉMONSTRATION DU THÉORÈME B.l 274 Download as PDF
Appendix: Appendice C Un calcul élémentaire de l'invariant de Casson des sphères d'homologie entière fibrées de Seifert à trois fibres exceptionnelles 276 Download as PDF
Chapter: §0. Introduction 276 Download as PDF
Chapter: §1. Présentation des espaces et énoncé du théorème 277 Download as PDF
Chapter: §2. Scindement de Heegaard de $\Sigma(a_1,a_2,a_3)$ 279 Download as PDF
Bibliography 288 Download as PDF
Article: AUTOMATIC GROUPS: A GUIDED TOUR 291 Download as PDF
Chapter: 1. Background in geometric group theory 291 Download as PDF
Chapter: 2. The beginnings of automatic groups 293 Download as PDF
Chapter: 3. Finite state automata 294 Download as PDF
Chapter: 4. Automatic groups : definitions and examples 296 Download as PDF
Chapter: 5. Hyperbolic groups are automatic 303 Download as PDF
Chapter: 6. INTERESTING PROPERTIES 307 Download as PDF
Chapter: 7. Related topics, open problems, and a vision of the future 309 Download as PDF
Bibliography 312 Download as PDF
Article: TOEPLITZ SEQUENCES, PAPERFOLDING, TOWERS OF HANOI AND PROGRESSION-FREE SEQUENCES OF INTEGERS 315 Download as PDF
Abstract 315 Download as PDF
Chapter: 1. Toeplitz sequences 315 Download as PDF
Chapter: 2. Paperfolding sequences and Toeplitz transforms 317 Download as PDF
Chapter: 3. Iteration of continuous functions and Toeplitz transforms 319 Download as PDF
Chapter: 4. Towers of Hanoi and Toeplitz sequences 320 Download as PDF
Chapter: 5. Progression-free sequences and Toeplitz sequences 320 Download as PDF
Chapter: 6. MISCELLANEOUS QUESTIONS 321 Download as PDF
Bibliography 326 Download as PDF
Article: RATIONALITY OF PIECEWISE LINEAR FOLIATIONS AND HOMOLOGY OF THE GROUP OF PIECEWISE LINEAR HOMEOMORPHISMS 329 Download as PDF
Chapter: Introduction 329 Download as PDF
Chapter: §1. Lemmas 330 Download as PDF
Chapter: §2. Discontinuous invariants 332 Download as PDF
Chapter: §3. Homology of the group of piecewise linear homeomorphisms 334 Download as PDF
Chapter: §4. Construction of cocycles of the group $PL_c(R)$ 336 Download as PDF
Chapter: §5. SURJECTIVITY OF $(j_+)_\star$ 339 Download as PDF
Bibliography 344 Download as PDF
Article: BARKER SEQUENCES AND DIFFERENCE SETS 345 Download as PDF
Chapter: Introduction 345 Download as PDF
Chapter: 0. Preliminaries 347 Download as PDF
Chapter: 1. DIFFERENCE SETS 348 Download as PDF
Chapter: 2. Periodic Barker sequences 353 Download as PDF
Chapter: 3. Barker sequences 361 Download as PDF
Chapter: 4. The use of the Multiplier Theorem 364 Download as PDF
Chapter: 5. COMMENTS ON THE EXAMPLES IN TABLES II 373 Download as PDF
Bibliography 381 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 41 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.

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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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