L'Enseignement Mathématique

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Volume 33 (1987): 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: FORMULES POUR LES TRISÉCANTES DES SURFACES ALGÉBRIQUES 1 Download as PDF
Chapter: Première partie : $P^4$ 9 Download as PDF
Chapter: I) Rappels et définitions; schémas Σ et $\Sigma_0$ 9 Download as PDF
Chapter: II) Trisécantes dans $P^4$: la théorie 17 Download as PDF
Chapter: III) Trisécantes dans $P^4$: les calculs 26 Download as PDF
Chapter: Deuxième partie: $P^5$, $P^6$, $P^7$ 32 Download as PDF
Chapter: IV) Trisécantes dans $P^5$ 32 Download as PDF
Chapter: V) Trisécantes dans $P^N$, N>s 42 Download as PDF
Appendix: VI) Annexe 48 Download as PDF
Bibliography 65 Download as PDF
Article: SUITES RÉCURRENTES LINÉAIRES Propriétés algébriques et arithmétiques 67 Download as PDF
Chapter: Introduction 67 Download as PDF
Chapter: A. PROPRIÉTÉS ALGÉBRIQUES 69 Download as PDF
Chapter: I. SÉRIES RATIONNELLES SUR UN CORPS K 69 Download as PDF
Chapter: II. Quelques exemples 71 Download as PDF
Chapter: III. Espaces de s.r.l. sur K 75 Download as PDF
Chapter: IV. 81 Download as PDF
Chapter: B. ÉTUDE ARITHMÉTIQUE 87 Download as PDF
Chapter: I. MÉTHODES ÉLÉMENTAIRES 87 Download as PDF
Chapter: II. MÉTHODES p-ADIQUES 96 Download as PDF
Chapter: III. MÉTHODES TRANSCENDANTES 102 Download as PDF
Bibliography 106 Download as PDF
Article: NONLINEAR ANALYSIS IN GEOMETRY 109 Download as PDF
Chapter: §1. Eigenvalues and Harmonic Functions 112 Download as PDF
Chapter: §2. Yamabe's Equation and Conformally Flat Manifolds 118 Download as PDF
Chapter: §3. Harmonic Maps 120 Download as PDF
Chapter: 1. Existence, uniqueness and regularity 120 Download as PDF
Chapter: 2. Noncompact manifolds 121 Download as PDF
Chapter: 3. Rigidity 122 Download as PDF
Chapter: 4. Harmonic maps in physics 123 Download as PDF
Chapter: §4. Minimal submanifolds 124 Download as PDF
Chapter: §5. Kähler Geometry 129 Download as PDF
Chapter: 1. Complex and almost complex structures 129 Download as PDF
Chapter: 2. KÄHLER AND ALGEBRAIC STRUCTURES 130 Download as PDF
Chapter: 3. Uniformization 132 Download as PDF
Chapter: 4. Analytic objects 136 Download as PDF
Chapter: §6. Canonical Metrics Over Complex Manifolds 138 Download as PDF
Chapter: 1. The Bergman, Kobayashi-Royden and Caratheodory metrics 138 Download as PDF
Chapter: 2. Kähler-Einstein Metrics on Compact Kähler Manifolds 141 Download as PDF
Chapter: 3. Hermitian Manifolds and Stable Vector Bundles 144 Download as PDF
Chapter: 4. Chern Number Inequalities 146 Download as PDF
Chapter: 5. Kähler-Einstein Metrics on Noncompact Manifolds 148 Download as PDF
Chapter: 6. Ricci Flat Metrics on Noncompact Manifolds 150 Download as PDF
Bibliography 152 Download as PDF
Article: HOMOLOGIE DE DEGRÉ TROIS D'ALGÈBRES DE LIE SIMPLES DÉPLOYÉES ÉTENDUES À UNE ALGÈBRE COMMUTATIVE 159 Download as PDF
Chapter: 1. Introduction 159 Download as PDF
Chapter: 2. Préliminaires et énoncé des résultats 161 Download as PDF
Chapter: 3. Cas où g n'est pas de type A_n(n \geq 2) 165 Download as PDF
Chapter: 4. Remarques sur le cas de sl(r, A), r≥ 3 170 Download as PDF
Bibliography 173 Download as PDF
Rubric 174 Download as PDF
Article: APPROXIMATION DES MOYENNES ARITHMÉTICO-GÉOMÉTRIQUES 175 Download as PDF
Bibliography 181 Download as PDF
Rubric 182 Download as PDF
Article: ON THE GALOIS GROUPS OF THE EXPONENTIAL TAYLOR POLYNOMIALS 183 Download as PDF
Chapter: I. Review of the Newton Polygon 183 Download as PDF
Chapter: II. Application to the Exponential Taylor Polynomials 185 Download as PDF
Chapter: III. Global Conclusions A and B 186 Download as PDF
Chapter: IV. CALCULATION OF THE DISCRIMINANT 187 Download as PDF
Chapter: V. End of Proof 187 Download as PDF
Chapter: VI. Final Remarks 187 Download as PDF
Bibliography 189 Download as PDF
Rubric 190 Download as PDF
Article: THE VARIETY OF MODULI OF FOLIATIONS ON A COMPLEX SPACE 191 Download as PDF
Bibliography 197 Download as PDF
Rubric 198 Download as PDF
Article: THE THEOREM OF BROWN AND SARD 199 Download as PDF
Bibliography 202 Download as PDF
Article: SIMPLE PROOF OF THE MURASUGI AND KAUFFMAN THEOREMS ON ALTERNATING LINKS 203 Download as PDF
Chapter: §1. Introduction 203 Download as PDF
Chapter: §2. The extended dual state lemma 208 Download as PDF
Chapter: §3. Kauffman's state model for the Jones polynomial 215 Download as PDF
Chapter: §4. Proof of Theorem 1 215 Download as PDF
Chapter: §5. Proof of Theorem 2 218 Download as PDF
Appendix: Appendix: an improvement of the inequality of Theorem 1 224 Download as PDF
Bibliography 225 Download as PDF
Rubric 226 Download as PDF
Article: SKETCH OF THE EVOLUTION OF (NONCOMMUTATIVE) RING THEORY 227 Download as PDF
Chapter: I. Sources 229 Download as PDF
Chapter: II. Exploration 233 Download as PDF
Chapter: III. Classification 237 Download as PDF
Chapter: IV. Structure of algebras 241 Download as PDF
Chapter: V. Interlude 250 Download as PDF
Chapter: VI. Structure of rings with minimum condition 253 Download as PDF
Chapter: VII. SOME SUBSEQUENT DEVELOPMENTS 257 Download as PDF
Bibliography 264 Download as PDF
Rubric 268 Download as PDF
Article: AN ELEMENTARY ACCOUNT OF SELBERG'S LEMMA 269 Download as PDF
Bibliography 273 Download as PDF
Rubric 274 Download as PDF
Article: INVOLUTIONS IN SURFACE MAPPING CLASS GROUPS 275 Download as PDF
Chapter: 1. Introduction 275 Download as PDF
Chapter: 2. The subgroup generated by involutions 276 Download as PDF
Chapter: 3. Thurston's classification of mapping classes 284 Download as PDF
Chapter: 4. Products of involutions 286 Download as PDF
Chapter: 5. Remarks and examples 287 Download as PDF
Bibliography 290 Download as PDF
Article: THE COMPLEX CROSS RATIO ON THE HEISENBERG GROUP 291 Download as PDF
Chapter: Introduction 291 Download as PDF
Bibliography 300 Download as PDF
Article: ON A CONSTRUCTION FOR THE REPRESENTATION OF A POSITIVE INTEGER AS THE SUM OF FOUR SQUARES 301 Download as PDF
Bibliography 306 Download as PDF
Article: SOME EXAMPLES OF GROUP ALGEBRAS WITHOUT FILTRED MULTIPLICATIVE BASIS 307 Download as PDF
Chapter: §1. Preliminary remarks 308 Download as PDF
Chapter: §2. Examples where the ground field is irrelevant 309 Download as PDF
Chapter: §3. The group of quaternion units 312 Download as PDF
Bibliography 314 Download as PDF
Article: AN ORBIT CLOSING PROOF OF BROUWER'S LEMMA ON TRANSLATION ARCS 315 Download as PDF
Abstract: Abstract 315 Download as PDF
Chapter: 1. An isotopy closing lemma 316 Download as PDF
Chapter: 2. Fixed points for homeomorphisms of the sphere 320 Download as PDF
Bibliography 322 Download as PDF
Article: RADICALS AND HILBERT NULLSTELLENSATZ FOR NOT NECESSARILY ALGEBRAICALLY CLOSED FIELDS 323 Download as PDF
Chapter: §1. The main result and definitions 323 Download as PDF
Chapter: §2. SOME PROPERTIES OF THE K-RADICAL 326 Download as PDF
Chapter: §3. Proof of the Hilbert K-Nullstellensatz 329 Download as PDF
Chapter: §4. Connections with previous results 333 Download as PDF
Chapter: §5. TWO EXAMPLES 334 Download as PDF
Bibliography 338 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 339 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 1 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 33 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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