E-Periodica Schweizer Zeitschriften online. Revues suisses en ligne. Swiss journals online.

Volume 46 (2000)
Heading Page
Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
Download as PDF 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
Issue 3-4: L'ENSEIGNEMENT MATHÉMATIQUE
Download as PDF 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