L'Enseignement Mathématique

Heading Page PDF
Volume 46 (2000): 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: GEOMETRIC K-THEORY FOR LIE GROUPS AND FOLIATIONS 3 Download as PDF
Chapter: 1. Introduction 3 Download as PDF
Chapter: 2. Lie group actions 4 Download as PDF
Chapter: 3. HOMOTOPY QUOTIENT 8 Download as PDF
Chapter: 4. Solvable simply connected Lie groups 11 Download as PDF
Chapter: 5. The geometric K-theory for $\pi_0G$ finite 13 Download as PDF
Chapter: 6. Discrete groups : Chern character 17 Download as PDF
Chapter: 7. Corollaries of the isomorphism conjecture 20 Download as PDF
Chapter: 8. TWISTING BY A 2-COCYCLE 22 Download as PDF
Chapter: 9. Foliations 30 Download as PDF
Chapter: 10. FURTHER DEVELOPMENTS 33 Download as PDF
Chapter: 11. ACKNOWLEDGEMENTS 34 Download as PDF
Bibliography 35 Download as PDF
Chapter: EDITORS' NOTE 37 Download as PDF
Bibliography 38 Download as PDF
Article: THE SATURATION CONJECTURE (AFTER A. KNUTSON AND T. TAO) 43 Download as PDF
Chapter: 1. The hive model 44 Download as PDF
Chapter: 2. Flatspaces 47 Download as PDF
Chapter: 3. Small Flatspaces 51 Download as PDF
Chapter: 4. Proof of the saturation conjecture 53 Download as PDF
Chapter: 5. Remarks and questions 54 Download as PDF
Appendix: Appendix. A bijection between hives and Littlewood-Richardson skew tableaux (by William FULTON) 56 Download as PDF
Bibliography 59 Download as PDF
Article: ARITHMETIC OF BINARY CUBIC FORMS 61 Download as PDF
Abstract 61 Download as PDF
Chapter: 1. Introduction 61 Download as PDF
Abstract: Contents 65 Download as PDF
Chapter: 2. Binary quadratic mappings 65 Download as PDF
Chapter: 3. Cubic forms 73 Download as PDF
Chapter: 4. A Lie algebra representation 77 Download as PDF
Chapter: 5. Structure of the cubic C-forms 81 Download as PDF
Chapter: 6. COHOMOLOGICAL INTERPRETATION 89 Download as PDF
Chapter: 7. EXPLICIT COMPUTATIONS AND CUBIC TRACE FORMS 91 Download as PDF
Bibliography 93 Download as PDF
Article: ALMOST COMPLEX STRUCTURES ON 8-MANIFOLDS 95 Download as PDF
Chapter: 1. Introduction 95 Download as PDF
Chapter: 2. Stable almost complex structures 100 Download as PDF
Chapter: 3. The top-dimensional obstruction 100 Download as PDF
Chapter: 4. Existence of almost complex structures 104 Download as PDF
Bibliography 106 Download as PDF
Article: PREMIER NOMBRE DE BETTI ET SPECTRE DU LAPLACIEN DE CERTAINES VARIÉTÉS HYPERBOLIQUES 109 Download as PDF
Abstract 109 Download as PDF
Chapter: Introduction 109 Download as PDF
Chapter: 1. Topologie des sous-groupes d'indice fini et groupes algébriques 112 Download as PDF
Chapter: 2. Sur la topologie des cycles géodésiques 114 Download as PDF
Chapter: 3. Extension au cas des cycles généralisés 118 Download as PDF
Chapter: 4. Variétés hyperboliques isospectrales 121 Download as PDF
Chapter: 5. Petites valeurs propres de certaines variétés hyperboliques 128 Download as PDF
Appendix: Appendice : Spectre des variétés tubes 132 Download as PDF
Bibliography 136 Download as PDF
Article: TOPOLOGIE DES COURBES ALGÉBRIQUES RÉELLES : UNE QUESTION DE FELIX KLEIN 139 Download as PDF
Abstract 139 Download as PDF
Chapter: 1. Introduction 139 Download as PDF
Chapter: 2. La classification topologique des surfaces symétriques 140 Download as PDF
Chapter: 3. Les petites déformations des courbes planes nodales 144 Download as PDF
Chapter: 4. Le théorème de Klein 145 Download as PDF
Chapter: 5. Le problème de Klein: description des prohibitions 147 Download as PDF
Chapter: 6. La génétique chez les courbes planes réelles 148 Download as PDF
Chapter: 7. Le problème de Klein: construction de courbes 149 Download as PDF
Chapter: 7.1 Les courbes de degré pair 150 Download as PDF
Chapter: 7.2 Les courbes de degré impair 157 Download as PDF
Chapter: 8. Remerciements 160 Download as PDF
Bibliography 160 Download as PDF
Article: HARTREE'S THEOREM ON EXISTENCE OF THE QUANTUM DEFECT 162 Download as PDF
Chapter: Introduction 163 Download as PDF
Appendix: Addendum 202 Download as PDF
Bibliography 206 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 209 Download as PDF
Chapter: DISCUSSION DOCUMENT FOR THE TWELFTH ICMI STUDY THE FUTURE OF THE TEACHING AND LEARNING OF ALGEBRA 209 Download as PDF
Chapter: INTRODUCTION 209 Download as PDF
Chapter: WHY ALGEBRA ? 210 Download as PDF
Chapter: APPROACHES TO ALGEBRA 211 Download as PDF
Chapter: LANGUAGE ASPECTS OF ALGEBRA 212 Download as PDF
Chapter: TEACHING AND LEARNING WITH COMPUTER ALGEBRA SYSTEMS 212 Download as PDF
Chapter: TECHNOLOGICAL ENVIRONMENTS 213 Download as PDF
Chapter: ALGEBRA WITH REAL DATA 214 Download as PDF
Chapter: USING THE HISTORY OF ALGEBRA 214 Download as PDF
Chapter: EARLY ALGEBRA EDUCATION 215 Download as PDF
Chapter: TERTIARY ALGEBRA 215 Download as PDF
Chapter: HOW TO PARTICIPATE 216 Download as PDF
Chapter: INTERNATIONAL SYMPOSIUM «One Hundred Years of L'Enseignement Mathématique: Moments of Mathematics Education in the 20th Century» 219 Download as PDF
Chapter: BACKGROUND 219 Download as PDF
Chapter: PRESENTATION OF THE SYMPOSIUM 220 Download as PDF
Chapter: PROGRAMME 221 Download as PDF
Chapter: ORGANIZATION 222 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 1 Download as PDF
Chapter: Génélités 1 Download as PDF
Chapter: Histoire 6 Download as PDF
Chapter: Logique et fondements 7 Download as PDF
Chapter: Théorie des ensembles 8 Download as PDF
Chapter: Analyse combinatoire 9 Download as PDF
Chapter: Ordre,treillis 10 Download as PDF
Chapter: Théorie des nombres 10 Download as PDF
Chapter: Corps et polynômes 12 Download as PDF
Chapter: Géométrie algébrique 12 Download as PDF
Chapter: Algébre linéaire et multilinéaire,théorie des matrices 13 Download as PDF
Chapter: Anneaux et algébres 13 Download as PDF
Chapter: Catégories, algébre homologique,cohomologie des groupes 14 Download as PDF
Chapter: Théorie des groupes et généralisation 14 Download as PDF
Chapter: Groupes topologiques;groupes et algébres de Lie 15 Download as PDF
Chapter: Mesure et intégration 15 Download as PDF
Chapter: Fonctions d'une variable complexe 16 Download as PDF
Chapter: Fonctions de plusieurs variables complexes 16 Download as PDF
Chapter: Equations différentielles ordinaires 17 Download as PDF
Chapter: Equations aux dérivées partielles 17 Download as PDF
Chapter: Systèmes dynamiques et théorie ergodique 19 Download as PDF
Chapter: Analyse de Fourier, analyse harmonique abstraite 19 Download as PDF
Chapter: Equations intégrales 20 Download as PDF
Chapter: Analyse fonctionnelle et théorie des opérateurs 20 Download as PDF
Chapter: Géométrie 21 Download as PDF
Chapter: Géométrie différentielle 22 Download as PDF
Chapter: Topologie algébrique 23 Download as PDF
Chapter: Topologie des variétés,analyse globale et analyse des variétés 24 Download as PDF
Chapter: Probabilités et processus stochastiques 25 Download as PDF
Chapter: Statistique 28 Download as PDF
Chapter: Analyse numérique 29 Download as PDF
Chapter: Informatique 30 Download as PDF
Chapter: Mécanique des solides,élasticité et plasticité 31 Download as PDF
Chapter: Mécanique des fluides, acoustique 31 Download as PDF
Chapter: Thermodynamique classique ,propagation de la chaleur 32 Download as PDF
Chapter: Mécanique quantique 32 Download as PDF
Chapter: Economie, recherche opérationnelle,jeux 33 Download as PDF
Chapter: Systèmes,contrôle optimal 33 Download as PDF
Chapter: Information,communication ,circuits 34 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 223 Download as PDF
Front matter 224 Download as PDF
Article: p-ADIC L-FUNCTION OF TWO VARIABLES 225 Download as PDF
Abstract 225 Download as PDF
Chapter: 1. Introduction 225 Download as PDF
Chapter: 2. Preliminaries 233 Download as PDF
Chapter: 2.1 Dirichlet characters 234 Download as PDF
Chapter: 2.2 Generalized Bernoulli polynomials 235 Download as PDF
Chapter: 2.3 Dirichlet L-functions 238 Download as PDF
Chapter: 2.4 The p-adic number field 239 Download as PDF
Chapter: 2.5 p-ADIC FUNCTIONS 241 Download as PDF
Chapter: 3. The p-adic L-function $L_p(s,t,\lambda)$ 245 Download as PDF
Chapter: 3.1 $L_p(s,\tau;\lambda)$ FOR $\tau \in \bar{Q}_p$, $|\tau|_p \leq 1$ 245 Download as PDF
Chapter: 3.2 $L_p(s,\tau;\lambda)$ FOR $\tau \in C_p$, $|\tau|_p \leq 1$ 250 Download as PDF
Chapter: 4. Properties of $L_p(s,t;\lambda)$ 258 Download as PDF
Chapter: 4.1 A SYMMETRY PROPERTY IN t 258 Download as PDF
Chapter: 4.2 $L_p(s,t;\lambda)$ AS A POWER SERIES IN $t – \alpha, \quad \alpha \in C_p, \quad $|\alpha|_p \leq 1$ 260 Download as PDF
Chapter: 4.3 Relating $L_p(s, t; \lambda)$ to some finite sums 266 Download as PDF
Chapter: 4.4 Generalized Bernoulli power series 273 Download as PDF
Bibliography 277 Download as PDF
Article: ORDERINGS OF MAPPING CLASS GROUPS AFTER THURSTON 279 Download as PDF
Abstract 279 Download as PDF
Chapter: 1. Orderable groups 280 Download as PDF
Chapter: 2. Orderings of mapping class groups using hyperbolic geometry 282 Download as PDF
Chapter: 3. Main results 287 Download as PDF
Chapter: 4. Orderings of mapping class groups using curve diagrams 289 Download as PDF
Chapter: 5. Which pairs of curve diagrams determine the same ordering? 293 Download as PDF
Chapter: 6. Replacing finite type geodesics by curve diagrams 298 Download as PDF
Chapter: 7. Orderings associated to geodesics of infinite type 304 Download as PDF
Bibliography 311 Download as PDF
Article: IDEAL SOLUTIONS OF THE TARRY-ESCOTT PROBLEM OF DEGREE FOUR AND A RELATED DIOPHANTINE SYSTEM 313 Download as PDF
Abstract 313 Download as PDF
Chapter: 1. Introduction 313 Download as PDF
Chapter: 2. The complete ideal symmetric solution of the Tarry-Escott problem of degree four 315 Download as PDF
Chapter: 3. A parametric ideal non-symmetric solution of the Tarry-Escott problem of degree four 318 Download as PDF
Chapter: 4. The diophantine system $\sum_{i=1}^5 a_i^r = \sum_{i=1}^5 b_i^5, \quad r=1,2,3,4,6$ 321 Download as PDF
Bibliography 323 Download as PDF
Article: ÉCHELLES DE SOBOLEV D'ORIGINE ARBITRAIRE 325 Download as PDF
Abstract 325 Download as PDF
Abstract 325 Download as PDF
Chapter: 1. Introduction 325 Download as PDF
Chapter: 2. Les espaces de Banach de distributions 327 Download as PDF
Chapter: 2.1 DÉFINITION ET PREMIÈRES PROPRIÉTÉS 327 Download as PDF
Chapter: 2.2 Échelles de régularité 328 Download as PDF
Chapter: 2.3 Dualité de l'échelle de Sobolev 329 Download as PDF
Chapter: 2.4 Les $D(R^n)$ -modules invariants par translation 330 Download as PDF
Chapter: 3. RÉSULTATS POSITIFS EN DIMENSION UN 331 Download as PDF
Chapter: 4. RÉSULTATS NÉGATIFS EN DIMENSIONS SUPÉRIEURES 332 Download as PDF
Chapter: 4.1 La propriété de Mitiagin-Ornstein 332 Download as PDF
Chapter: 4.2 Preuve du théorème 1 333 Download as PDF
Chapter: 4.3 Contre-exemples explicites 333 Download as PDF
Chapter: 4.4 Les plongements de Sobolev sous-jacents 334 Download as PDF
Chapter: 5. Pour aller plus loin 335 Download as PDF
Chapter: 6. Questions ouvertes 337 Download as PDF
Bibliography 337 Download as PDF
Article: REMARKS ON THE HAUSDORFF-YOUNG INEQUALITY 339 Download as PDF
Chapter: §1. Introduction 339 Download as PDF
Chapter: §2. Notations and some known facts 340 Download as PDF
Chapter: §3. Main theorems 342 Download as PDF
Chapter: §4. HISTORICAL REMARKS 344 Download as PDF
Appendix: §5. Appendix 346 Download as PDF
Bibliography 347 Download as PDF
Article: THE SPECTRAL MAPPING THEOREM, NORMS ON RINGS, AND RESULTANTS 349 Download as PDF
Abstract 349 Download as PDF
Chapter: 1. Introduction 349 Download as PDF
Chapter: 2. The Spectral Mapping Theorem 350 Download as PDF
Chapter: 3. A REDUCTION 351 Download as PDF
Chapter: 4. The proof 351 Download as PDF
Chapter: 5. Norms on algebras 352 Download as PDF
Chapter: 6. NORMS AND RESULTANTS 353 Download as PDF
Chapter: 7. Uniqueness of norms and the Spectral Mapping Theorem 355 Download as PDF
Chapter: 8. The discriminant 356 Download as PDF
Bibliography 358 Download as PDF
Article: NOTE OF THE EDITORS 359 Download as PDF
Article: THE WITT GROUP OF LAURENT POLYNOMIALS 361 Download as PDF
Abstract 361 Download as PDF
Chapter: 1. Introduction 361 Download as PDF
Chapter: 2.K-theoretic PRELIMINARIES 364 Download as PDF
Chapter: 3. The Witt group of polynomial rings 366 Download as PDF
Chapter: 4. The Witt group of torsion modules 367 Download as PDF
Chapter: 5. The Witt group of extended spaces 371 Download as PDF
Chapter: 6. The residue 374 Download as PDF
Chapter: 7. The Witt group of Laurent polynomials 379 Download as PDF
Chapter: 8. TWO COUNTEREXAMPLES 380 Download as PDF
Bibliography 383 Download as PDF
Article: THE SIXTH FERMAT NUMBER AND PALINDROMIC CONTINUED FRACTIONS 385 Download as PDF
Abstract 385 Download as PDF
Rubric 386 Download as PDF
Bibliography 389 Download as PDF
Article: THREE REMARKS ON GEODESIC DYNAMICS AND FUNDAMENTAL GROUP 391 Download as PDF
Chapter: §1. HOMOTOPIC STABILITY 391 Download as PDF
Chapter: §2. Entropy 394 Download as PDF
Chapter: §3. Periodic orbits 395 Download as PDF
Bibliography 398 Download as PDF
Appendix: Why the Appendices were not written : author's apologies to the readers 399 Download as PDF
Bibliography 400 Download as PDF
Bibliography 402 Download as PDF
Article: FINITE GROUP ACTIONS ON THE 7-SPHERE 403 Download as PDF
Bibliography 409 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 411 Download as PDF
Article: REPORT ON THE ICMI STUDY : «PERSPECTIVES ON THE TEACHING OF GEOMETRY FOR THE 21ST CENTURY» 411 Download as PDF
Bibliography 415 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 35 Download as PDF
Chapter: Généralités 35 Download as PDF
Chapter: Histoire 42 Download as PDF
Chapter: Logique et fondements 44 Download as PDF
Chapter: Analyse combinatoire 45 Download as PDF
Chapter: Théorie des nombres 46 Download as PDF
Chapter: Corps et polynômes 48 Download as PDF
Chapter: Géométrie algébrique 48 Download as PDF
Chapter: Algèbre linéaire et multilinéaire, théorie des matrices 50 Download as PDF
Chapter: Anneaux et algèbres 51 Download as PDF
Chapter: Catégories, algèbre homologique, cohomologie des groupes 52 Download as PDF
Chapter: K théorie 52 Download as PDF
Chapter: Théorie des groupes et généralisations 53 Download as PDF
Chapter: Groupes topologiques; groupes et algèbres de Lie 56 Download as PDF
Chapter: Fonctions de variables réelles 56 Download as PDF
Chapter: Mesure et intégration 57 Download as PDF
Chapter: Fonctions d'une variable complexe 57 Download as PDF
Chapter: Fonctions de plusieurs variables complexes 57 Download as PDF
Chapter: Equations différentielles ordinaires 58 Download as PDF
Chapter: Equations aux dérivées partielles 59 Download as PDF
Chapter: Systèmes dynamiques et théorie ergodique 61 Download as PDF
Chapter: Equations aux différences finies, équations fonctionnelles 63 Download as PDF
Chapter: Approximations et développements en série 63 Download as PDF
Chapter: Analyse de Fourier, analyse harmonique abstraite 63 Download as PDF
Chapter: Transformations intégrales, calcul opérationnel 64 Download as PDF
Chapter: Equations intégrales 64 Download as PDF
Chapter: Analyse fonctionnelle 64 Download as PDF
Chapter: Théorie des opérateurs 66 Download as PDF
Chapter: Calcul des variations 69 Download as PDF
Chapter: Géométrie 69 Download as PDF
Chapter: Géométrie différentielle 70 Download as PDF
Chapter: Topologie algébrique 71 Download as PDF
Chapter: Topologie des variétés, analyse globale et analyse des variétés 71 Download as PDF
Chapter: Probabiltés et processus stochastiques 73 Download as PDF
Chapter: Statistique 73 Download as PDF
Chapter: Analyse numérique 74 Download as PDF
Chapter: Informatique 75 Download as PDF
Chapter: Mécanique des particules et systèmes 77 Download as PDF
Chapter: Mécanique des solides, élasticité et plasticité 77 Download as PDF
Chapter: Mécanique des fluides, acoustique 77 Download as PDF
Chapter: Mécanique quantique 79 Download as PDF
Chapter: Economie, recherche opérationnelle, jeux 79 Download as PDF
Chapter: Biologie et sciences du comportement 79 Download as PDF
Chapter: Systèmes, contrôle optimal 80 Download as PDF
Chapter: Information, communication, circuits 81 Download as PDF
Back matter Download as PDF
Index 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

Contact/Credits:

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

Back
Page preview of the search result

, Issue :
Editor:

Page