L'Enseignement Mathématique

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Volume 34 (1988): L'ENSEIGNEMENT MATHÉMATIQUE
Front matter Download as PDF
Index Download as PDF
Front matter Download as PDF
Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE 1
Article: THE SCHUR SUBGROUP OF THE BRAUER GROUP OF A LOCAL FIELD 1 Download as PDF
Chapter: K NON-DYADIC 2 Download as PDF
Chapter: Remarks 9 Download as PDF
Bibliography 10 Download as PDF
Article: UNE CARACTÉRISATION DES NORMES EUCLIDIENNES EN DIMENSION FINIE 13 Download as PDF
Chapter: Introduction 13 Download as PDF
Chapter: I. Groupe des isométries linéaires 14 Download as PDF
Chapter: II. La boule unité de L(E) 15 Download as PDF
Chapter: III. Application au cas n = 2 18 Download as PDF
Bibliography 21 Download as PDF
Article: EULER'S FAMOUS PRIME GENERATING POLYNOMIAL AND THE CLASS NUMBER OF IMAGINARY QUADRATIC FIELDS 23 Download as PDF
Chapter: Introduction 23 Download as PDF
Chapter: A) Quadratic extensions 25 Download as PDF
Chapter: B) Rings of integers 26 Download as PDF
Chapter: C) Discriminant 27 Download as PDF
Chapter: D) Decomposition of primes 27 Download as PDF
Chapter: E) Units 32 Download as PDF
Chapter: F) The class number 33 Download as PDF
Chapter: G) The main theorem 40 Download as PDF
Bibliography 42 Download as PDF
Article: LE PROBLÈME DE GAUSS SUR LE NOMBRE DE CLASSES 43 Download as PDF
Chapter: I. La classification de Gauss des formes quadratiques 44 Download as PDF
Chapter: §1. FINITUDE DU NOMBRE DE CLASSES 44 Download as PDF
Chapter: §2. Formes quadratiques réduites 45 Download as PDF
Chapter: §3. Une méthode élémentaire pour calculer le nombre de classes 47 Download as PDF
Chapter: §4. Le groupe des classes 48 Download as PDF
Chapter: §5. Lien entre h(-d) et $h(-df^2)$ 51 Download as PDF
Chapter: II. Le problème du nombre de classes 52 Download as PDF
Chapter: §1. Représentation des entiers par les formes quadratiques 53 Download as PDF
Chapter: §2. Fonctions zêta 55 Download as PDF
Chapter: §3. Ce que l'on espère sur le comportement de h( —d) 57 Download as PDF
Chapter: §4. Minorations non effectives de h(—d) 59 Download as PDF
Chapter: §5. Les cas h = 1 et h = 2 60 Download as PDF
Chapter: §6. Courbes elliptiques et fonctions L 61 Download as PDF
Chapter: §7. Le théorème de Goldfeld 64 Download as PDF
Chapter: §8. Le théorème de Gross et Zagier 65 Download as PDF
Chapter: §9. Conclusion 66 Download as PDF
Article: ON TORRES-TYPE RELATIONS FOR THE ALEXANDER POLYNOMIALS OF LINKS 69 Download as PDF
Chapter: §1. Introduction 69 Download as PDF
Chapter: §2. Torsions of chain complexes and manifolds 72 Download as PDF
Chapter: §3. Algebraic lemmas 74 Download as PDF
Chapter: §4. Proof of Theorems 1 and 2 76 Download as PDF
Bibliography 82 Download as PDF
Article: EXTENSIONS DE MODULES ET COHOMOLOGIE DES GROUPES 83 Download as PDF
Chapter: Introduction 83 Download as PDF
Chapter: 1. Rappels sur les extensions 83 Download as PDF
Chapter: 2. DÉRIVATIONS ET EXTENSIONS 85 Download as PDF
Chapter: 3. Le groupe $H^1(G;A)$ 87 Download as PDF
Chapter: 4. Le groupe $H^2(G;A)$ 93 Download as PDF
Article: ABOUT THE PROOFS OF CALABI'S CONJECTURES ON COMPACT KÄHLER MANIFOLDS 107 Download as PDF
Abstract: Abstract 107 Download as PDF
Chapter: 0. Introduction 107 Download as PDF
Chapter: 1. The Monge-Ampère equation 108 Download as PDF
Chapter: 2. A Topological Lemma 110 Download as PDF
Chapter: 3. Local inversion 111 Download as PDF
Chapter: 4. Properness 111 Download as PDF
Chapter: 5. A PRIORI ESTIMATES: THE ORIGINAL WAY 114 Download as PDF
Chapter: 6. Coordinate free tensor calculus 114 Download as PDF
Chapter: 7. HIGHER ORDER A PRIORI ESTIMATES: GENERALITIES 115 Download as PDF
Chapter: 8. A PRIORI ESTIMATES OF ORDER FOUR 118 Download as PDF
Chapter: 9. A PRIORI ESTIMATES OF ORDER FIVE AND MORE 120 Download as PDF
Chapter: 10. The analytic point of view 121 Download as PDF
Bibliography 121 Download as PDF
Article: QUILLEN'S THEOREM ON BUILDINGS AND THE LOOPS ON A SYMMETRIC SPACE 123 Download as PDF
Abstract: Abstract 123 Download as PDF
Chapter: §1. Notation and Preliminaries 128 Download as PDF
Chapter: §2. Topological Buildings 134 Download as PDF
Chapter: §3. Loop Groups 142 Download as PDF
Chapter: §4. Quillen's Theorem for Loop Groups 144 Download as PDF
Chapter: §5. The Loops on a Symmetric Space 147 Download as PDF
Chapter: §6. Examples 152 Download as PDF
Chapter: §7. Bott Periodicity 158 Download as PDF
Appendix: §8. Appendix : Real Forms and the generalized bruhat decomposition 161 Download as PDF
Bibliography 165 Download as PDF
Article: ISOCLINIC n-PLANES IN $R^{2n}$ AND THE HOPF-STEENROD SPHERE BUNDLES $S^{2n-1} \rightarrow S^n,\quad n=2,4,8$ 167 Download as PDF
Chapter: 0. Introduction 167 Download as PDF
Chapter: 1. Some results on isoclinic n-PLANES in $R^{2n}$ 168 Download as PDF
Chapter: 2. SOME FURTHER RESULTS 173 Download as PDF
Chapter: 3. The sphère bundles $S^{2n-1} \rightarrow \Phi_n, \quad n=2,4,or 8$, WITH FIBERS ON MUTUALLY ISOCLINIC n-PLANES IN $R^{2n}$ 181 Download as PDF
Chapter: 4. A UNIFIED TREATMENT OF THE THREE HOPF-STEENROD BUNDLES 187 Download as PDF
Chapter: 5. COMPARISON OF OUR BUNDLES WITH THE HOPF-STEENROD BUNDLES 194 Download as PDF
Appendix: Appendix 1. The Cayley numbers 200 Download as PDF
Appendix: Appendix 2. The Hopf fibering and mutually isoclinic planes 201 Download as PDF
Bibliography 204 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 205 Download as PDF
Article: THE POPULARIZATION OF MATHEMATICS 205 Download as PDF
Chapter: 1. A GENERAL FRAMEWORK: NEEDS AND METHODS FOR THE POPULARIZATION OF SCIENCE 206 Download as PDF
Chapter: 2. Spécial features of the popularization of mathematics 207 Download as PDF
Chapter: 3. The methods of popularization 210 Download as PDF
Chapter: Call for papers 212 Download as PDF
Chapter: Previous ICMI Studies 213 Download as PDF
Article: THE THEORY OF GRÖBNER BASES 215 Download as PDF
Chapter: Introduction 215 Download as PDF
Chapter: 1. Notations and Definitions 216 Download as PDF
Chapter: 2. The Division Algorithm 220 Download as PDF
Chapter: 3. Construction of Gröbner Bases 223 Download as PDF
Chapter: 4. Application to Systems of Algebraic Equations 228 Download as PDF
Chapter: 5. Application to a Geometric Problem 230 Download as PDF
Bibliography 231 Download as PDF
Article: GEODESICS IN THE UNIT TANGENT BUNDLE OF A ROUND SPHERE 233 Download as PDF
Chapter: 1. Geometry of the unit tangent bundle 235 Download as PDF
Chapter: 2. Geodesics in $US^2$ 238 Download as PDF
Chapter: 3. Helices in $S^3$ 239 Download as PDF
Chapter: 4. SASAKI'S EQUATIONS 240 Download as PDF
Chapter: 5. Proof of the Fundamental Constraint 243 Download as PDF
Bibliography 246 Download as PDF
Article: THE EULER CLASS OF ORTHOGONAL RATIONAL REPRESENTATIONS OF FINITE GROUPS 247 Download as PDF
Chapter: 1. Invariant Bilinear Forms 248 Download as PDF
Chapter: 2. Orthogonal representations of p-groups 249 Download as PDF
Chapter: 3. Proof of the main theorem 252 Download as PDF
Bibliography 253 Download as PDF
Article: UNE THÉORIE DE DENJOY DES MARTINGALES DYADIQUES 255 Download as PDF
Chapter: problème 255 Download as PDF
Chapter: solution: totalisation dyadique 257 Download as PDF
Chapter: Commentaires 261 Download as PDF
Appendix: Appendice: distribution de la fonction f 263 Download as PDF
Chapter: CITATIONS ET PASTICHE 266 Download as PDF
Bibliography 268 Download as PDF
Article: AN ELEMENTARY PROOF OF THE STRUCTURE THEOREM FOR CONNECTED SOLVABLE AFFINE ALGEBRAIC GROUPS 269 Download as PDF
Abstract: Abstract 269 Download as PDF
Rubric 270 Download as PDF
Bibliography 273 Download as PDF
Article: KALUZA-KLEIN APPROACH TO HYPERBOLIC THREE-MANIFOLDS 275 Download as PDF
Chapter: §1. Introduction 275 Download as PDF
Chapter: §2. CONFORMAL COMPACTIFICATIONS AND THEIR TOPOLOGY 277 Download as PDF
Chapter: §3. Classification of Γ with $dim_H\Lambda(\Gamma)\leq 1$ 284 Download as PDF
Chapter: §4. HODGE THEORY FOR HYPERBOLIC 3-MANIFOLDS 287 Download as PDF
Chapter: §5. Monopoles and Instantons 291 Download as PDF
Chapter: §6. Twistor spaces 295 Download as PDF
Chapter: §7. Atiyah-Ward ansatzes, summing 't Hooft solutions and elsenstein series 305 Download as PDF
Bibliography 310 Download as PDF
Article: SOME ALMOST HOMOGENEOUS GROUP ACTIONS ON SMOOTH COMPLETE RATIONAL SURFACES 313 Download as PDF
Chapter: §1. Minimal embeddings: définitions and preliminary remarks 314 Download as PDF
Chapter: §2. The minimal B/Γ-embeddings 317 Download as PDF
Chapter: §3. Application to SL(2)-embeddings 331 Download as PDF
Bibliography 332 Download as PDF
Article: REPRÉSENTATIONS ET TRACES DES ALGÈBRES DE HECKE POLYNÔME DE JONES-CONWAY 333 Download as PDF
Chapter: §0. Introduction 333 Download as PDF
Chapter: §1. Une description du polynôme de Jones-Conway 336 Download as PDF
Chapter: §2. Représentations des algèbres de Hecke 340 Download as PDF
Chapter: §3. Traces des algèbres de Hecke 342 Download as PDF
Chapter: §4. La trace T 345 Download as PDF
Chapter: §5. La trace de Jones-Ocneanu 348 Download as PDF
Chapter: §6. Une généralisation du polynôme de Jones-Conway 349 Download as PDF
Bibliography 355 Download as PDF
Article: GLOBAL CONSTRUCTION OF THE NORMALIZATION OF STEIN SPACES 357 Download as PDF
Chapter: Introduction 357 Download as PDF
Chapter: 1. Example of a Stein space X with $\widetilde{O(X)} \neq O(\tilde{X})$ 358 Download as PDF
Chapter: 2. Construction of $O(\tilde{X})$ from O(X) for Stein spaces X 360 Download as PDF
Chapter: 3. Applications 361 Download as PDF
Bibliography 363 Download as PDF
Article: LES ÉQUATIONS DIFFÉRENTIELLES ONT 350 ANS 365 Download as PDF
Chapter: problèmes de Debeaune 365 Download as PDF
Chapter: «Discorsi» de Galilée 366 Download as PDF
Chapter: Newton 367 Download as PDF
Chapter: Solution du premier problème de Debeaune 369 Download as PDF
Chapter: problème de l'isochrone 370 Download as PDF
Chapter: caténaire 371 Download as PDF
Chapter: tractrice 373 Download as PDF
Chapter: L'ÉQUATION DIFFÉRENTIELLE «DE BERNOULLI» 374 Download as PDF
Chapter: Brachystochrone 375 Download as PDF
Chapter: PROBLÈMES ISOPÉRIMÉTRIQUES 377 Download as PDF
Chapter: Euler et Lagrange 379 Download as PDF
Chapter: Problèmes isopérimétriques, suite 380 Download as PDF
Chapter: Epilogue 381 Download as PDF
Chapter: Exercices 382 Download as PDF
Bibliography 384 Download as PDF
Article: LES GRANDS THÈMES DE FRANÇOIS CHÂTELET 387 Download as PDF
Chapter: 1. Variétés de Severi-Brauer 387 Download as PDF
Chapter: 1.1. Avant Châtelet. 387 Download as PDF
Chapter: 1.2. La contribution de F. Châtelet [1943a] [1943b] [1944]. 389 Download as PDF
Chapter: 1.3. Après les travaux de Châtelet. 391 Download as PDF
Chapter: 1.4. Importance des variétés de Severi-Brauer. 391 Download as PDF
Chapter: 2. Courbes de genre 1 392 Download as PDF
Chapter: 2.1. Avant Châtelet. 392 Download as PDF
Chapter: 2.2. La contribution de Châtelet [1938] [1941] [1946a] [1947a]. 393 Download as PDF
Chapter: 2.3. Après Châtelet. 395 Download as PDF
Chapter: 2.4. Points de torsion. 395 Download as PDF
Chapter: 3. Surfaces cubiques 396 Download as PDF
Chapter: 3.1. Avant Châtelet. 396 Download as PDF
Chapter: 3.2. La contribution de Châtelet [1953] [1954 a] [1954b] [1958] [1959b] [1966]. 397 Download as PDF
Chapter: 3.3. Après Châtelet. 399 Download as PDF
Chapter: ARTICLES DE FRANÇOIS CHÂTELET 401 Download as PDF
Bibliography 403 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 1 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 41 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.

Metadata information:

Title:L'Enseignement Mathématique
Period:1899-ff

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