L'Enseignement Mathématique

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Volume 43 (1997): L'ENSEIGNEMENT MATHÉMATIQUE
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Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
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Table of Contents 1 Download as PDF
Front matter 2 Download as PDF
Article: PARAMETRIZED PLANE CURVES, MINKOWSKI CAUSTICS, MINKOWSKI VERTICES AND CONSERVATIVE LINE FIELDS 3 Download as PDF
Chapter: 0. Introduction 3 Download as PDF
Chapter: 1. Finsler metric from the contact geometrical viewpoint 4 Download as PDF
Chapter: 2. Minkowski geometry associated with a parametrized curve 7 Download as PDF
Chapter: 3. Osculating indicatrices and Minkowski caustic 10 Download as PDF
Chapter: 4. Minkowski vertices and Chebyshev Systems 16 Download as PDF
Chapter: 5. Conservative transverse line fields 20 Download as PDF
Bibliography 25 Download as PDF
Article: EVEN NON-SPIN MANIFOLDS, SPINc STRUCTURES, AND DUALITY 27 Download as PDF
Abstract 27 Download as PDF
Rubric 28 Download as PDF
Bibliography 32 Download as PDF
Article: BOTT-CHERN FORMS AND ARITHMETIC INTERSECTIONS 33 Download as PDF
Abstract 33 Download as PDF
Chapter: 1. Introduction 33 Download as PDF
Chapter: 2. Invariant and symmetric functions 35 Download as PDF
Chapter: 3. Hermitian differential geometry 36 Download as PDF
Chapter: 4. Calculating Bott-Chern Forms 39 Download as PDF
Chapter: 5. $0 \rightarrow \bar{S} \rightarrow \bar{E} \rightarrow \bar{Q} \rightarrow 0$ WITH $\bar{E}$ FLAT 42 Download as PDF
Chapter: 6. Calculations when $\bar{E}$ is projectively flat 44 Download as PDF
Chapter: 7. Arithmetic intersection theory 48 Download as PDF
Chapter: 8. Arakelov Chow rings of grassmannians 51 Download as PDF
Bibliography 53 Download as PDF
Article: ATKIN-LEHNER EIGENFORMS AND STRONGLY MODULAR LATTICES 55 Download as PDF
Abstract 55 Download as PDF
Chapter: Introduction 55 Download as PDF
Chapter: 1. Standard involutions on lattices 56 Download as PDF
Chapter: 2. ATKIN-LEHNER ACTION ON THETA FUNCTIONS 59 Download as PDF
Chapter: 3. Some use of modular forms 61 Download as PDF
Bibliography 65 Download as PDF
Article: THE NORMALISER ACTION AND STRONGLY MODULAR LATTICES 67 Download as PDF
Abstract 67 Download as PDF
Chapter: 1. Introduction 67 Download as PDF
Chapter: 2. PRELIMINAIRES AND NOTATION 68 Download as PDF
Chapter: 3. Similarities Normalise 69 Download as PDF
Chapter: 4. Obtaining Elements of N 70 Download as PDF
Chapter: 5. Proof of the Theorem 73 Download as PDF
Bibliography 75 Download as PDF
Article: SUR LA LOI DE RÉCIPROCITÉ DE KATO POUR LES ANNEAUX LOCAUX DE DIMENSION 2 77 Download as PDF
Chapter: 1. ÉNONCÉS 77 Download as PDF
Chapter: 2. Préparation 79 Download as PDF
Chapter: 3. Toujours préparation, mais à la Weierstrass 82 Download as PDF
Chapter: 4. RÉDUCTIONS 84 Download as PDF
Chapter: 5. Conclusion 87 Download as PDF
Bibliography 90 Download as PDF
Article: LA SOMMATION DE RAMANUJAN 93 Download as PDF
Abstract 93 Download as PDF
Chapter: 1. Introduction 93 Download as PDF
Chapter: 2. DÉVELOPPEMENTS D'EULER-MACLAURIN FORMELS 94 Download as PDF
Chapter: 3. Sommation de Ramanujan et transformation de Laplace-Borel 96 Download as PDF
Chapter: 3.1. Sommation de Ramanujan 96 Download as PDF
Chapter: 3.2. Liens avec la sommation de Cauchy 102 Download as PDF
Chapter: 4. Propriétés de la sommation 104 Download as PDF
Chapter: 4.1. Linéarité 104 Download as PDF
Chapter: 4.2. Translation 104 Download as PDF
Chapter: 4.3. Dérivation 105 Download as PDF
Chapter: 4.4. Sommation par parties 105 Download as PDF
Chapter: 4.5. SÉPARATION DES TERMES PAIRS ET IMPAIRS 108 Download as PDF
Chapter: 4.6. Utilisations de développements en série entière 109 Download as PDF
Chapter: 4.7. DÉPENDANCE ANALYTIQUE PAR RAPPORT À UN PARAMÈTRE 112 Download as PDF
Chapter: 5. Exemples d'utilisation 113 Download as PDF
Chapter: 5.1. DÉVELOPPEMENT EN SÉRIE DE LA FONCTION Ψ 113 Download as PDF
Chapter: 5.2. Calcul de $\sum_{n \geq 1}^R n^{2q} \ln(n)$ 114 Download as PDF
Chapter: 5.3. Une solution de l'équation de la chaleur 116 Download as PDF
Chapter: 6. Interpolation de Newton et sommation de Ramanujan 117 Download as PDF
Appendix: 7. Appendice: Transformation de Laplace-Borel 121 Download as PDF
Chapter: 7.1. Notations 121 Download as PDF
Chapter: 7.2. Transformation de Borel 121 Download as PDF
Chapter: 7.3. Transformation de Laplace 124 Download as PDF
Chapter: 7.4. Le cas intégrable 128 Download as PDF
Chapter: 7.5. Quelques propriétés 131 Download as PDF
Bibliography 131 Download as PDF
Article: THE LOCAL LINEARIZATION PROBLEM FOR SMOOTH SL(n) -ACTIONS 133 Download as PDF
Abstract 133 Download as PDF
Abstract 133 Download as PDF
Chapter: 1. Introduction 133 Download as PDF
Chapter: 2. Background and Motivation 136 Download as PDF
Chapter: 3. Preparatory results 142 Download as PDF
Chapter: 4. SL(n,R)-ACTIONS ON $R^n$ FOR n ≥ 3 149 Download as PDF
Chapter: 5. The adjoint representation of SL(2,R) 151 Download as PDF
Chapter: 6. SL(2,R) -actions on $R^2$ 153 Download as PDF
Chapter: 7. Examples of $C^0$-actions of SL(2,R) on $R^m$ 157 Download as PDF
Chapter: 8. A $C^\infty$ -action of SL(2,R) which is not linearizable 159 Download as PDF
Chapter: 9. A $C^\infty$ -ACTION OF SL(3,R) WHICH IS NOT LINEARIZABLE 161 Download as PDF
Chapter: 10. LINEARIZABILITY OF SL(n,Z)-ACTIONS 164 Download as PDF
Bibliography 168 Download as PDF
Article: POLYGON SPACES AND GRASSMANNIANS 173 Download as PDF
Abstract 173 Download as PDF
Chapter: 1. Introduction 173 Download as PDF
Chapter: 2. The polygon spaces 175 Download as PDF
Chapter: 3. Quaternions, Grassmannians and structures on the full polygon spaces 178 Download as PDF
Chapter: 4. POLYGONS WITH GIVEN SIDES – KÄHLER STRUCTURES 183 Download as PDF
Chapter: 5. The Gel'fand-Cetlin action 187 Download as PDF
Chapter: 6. Toric manifold structures on $mP_+^3(\alpha)(a)$ for m = 4,5,6 191 Download as PDF
Chapter: 7. Remarks and open problems 196 Download as PDF
Bibliography 197 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 199 Download as PDF
Chapter: THE ROLE OF THE HISTORY OF MATHEMATICS IN THE TEACHING AND LEARNING OF MATHEMATICS DISCUSSION DOCUMENT FOR AN ICMI STUDY (1997-2000) 199 Download as PDF
Chapter: Some research questions 199 Download as PDF
Chapter: Call for contributions 202 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 1 Download as PDF
Back matter 44 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 205 Download as PDF
Front matter 206 Download as PDF
Article: AN ALGORITHM FOR CELLULAR MAPS OF CLOSED SURFACES 207 Download as PDF
Abstract 207 Download as PDF
Chapter: 1. Introduction 207 Download as PDF
Chapter: 2. DIAGRAMS OF CELLULAR SURFACE MAPS 212 Download as PDF
Chapter: 3. The algorithm 222 Download as PDF
Chapter: 4. HOMOMORPHISMS OF SURFACE GROUPS 237 Download as PDF
Chapter: 5. A WORKED EXAMPLE 247 Download as PDF
Bibliography 251 Download as PDF
Article: QUATERNARY CUBIC FORMS AND PROJECTIVE ALGEBRAIC THREEFOLDS 253 Download as PDF
Chapter: Introduction 253 Download as PDF
Chapter: I. Quaternary Cubic Forms 255 Download as PDF
Chapter: 1. Normal Forms for Quaternary Cubic Forms 256 Download as PDF
Chapter: 2. The Invariant Theory of Quaternary Cubic Forms 260 Download as PDF
Chapter: II. Cubic Forms of Projective Threefolds 262 Download as PDF
Chapter: 1. Preliminaries 262 Download as PDF
Chapter: 2. A Projective Threefold with a Nodal Cubic as Cup Form 263 Download as PDF
Chapter: 3. Quaternary Cubic Forms that are Cup Forms of Projective Algebraic Manifolds 264 Download as PDF
Chapter: 4. Real Cubic Forms which are not Cup Forms of Projective Algebraic Manifolds 268 Download as PDF
Bibliography 269 Download as PDF
Article: 4-MANIFOLDS, GROUP INVARIANTS, AND $l_2$-BETTI NUMBERS 271 Download as PDF
Chapter: 1. A BASIC CONSTRUCTION 271 Download as PDF
Chapter: 2. The Hausmann-Weinberger invariant 272 Download as PDF
Chapter: 3. The (λ+σ) -invariant 273 Download as PDF
Chapter: 4. Deus ex machina: $l_2$-cohomology 275 Download as PDF
Chapter: 5. The vanishing of q(G) 278 Download as PDF
Bibliography 279 Download as PDF
Article: THEOREM OF INGHAM IMPLYING THAT DIRICHLET'S L-FUNCTIONS HAVE NO ZEROS WITH REAL PART ONE 281 Download as PDF
Chapter: §1. Introduction 281 Download as PDF
Chapter: §2. Proof of Ingham's Theorem 283 Download as PDF
Bibliography 284 Download as PDF
Article: SUR LES TRANSFORMATIONS DE CREMONA DE BIDEGRÉ (3,3) 285 Download as PDF
Abstract 285 Download as PDF
Chapter: Introduction 285 Download as PDF
Chapter: 1. Le résultat principal 286 Download as PDF
Chapter: 2. Exemples 287 Download as PDF
Chapter: 3. Preuve du théorème 289 Download as PDF
Chapter: 4. Un corollaire et plus d'exemples 293 Download as PDF
Chapter: 5. Comparaison avec les résultats classiques 295 Download as PDF
Bibliography 297 Download as PDF
Article: NONMINIMAL RATIONAL CURVES ON K3 SURFACES 299 Download as PDF
Chapter: Introduction 299 Download as PDF
Chapter: 1. About finiteness 303 Download as PDF
Chapter: 2. About existence 304 Download as PDF
Chapter: 3. Rational curves on quartics in $P^3$ 310 Download as PDF
Chapter: 4. Rational curves on K3 surfaces in $P^4$ 313 Download as PDF
Bibliography 316 Download as PDF
Article: ON CYCLOTOMIC POLYNOMIALS, POWER RESIDUES, AND RECIPROCITY LAWS 319 Download as PDF
Abstract 319 Download as PDF
Chapter: 1. Introduction 319 Download as PDF
Chapter: 2. Statement of results 320 Download as PDF
Chapter: 3. Background 322 Download as PDF
Chapter: 4. The odd case 325 Download as PDF
Chapter: 5. Homogeneous polynomials 328 Download as PDF
Chapter: 6. WHAT ABOUT q? 329 Download as PDF
Chapter: 7. The even case 330 Download as PDF
Chapter: 8. The second proof 333 Download as PDF
Bibliography 335 Download as PDF
Article: AMENABILITY AND GROWTH OF ONE-RELATOR GROUPS 337 Download as PDF
Abstract 337 Download as PDF
Chapter: 0. Introduction 337 Download as PDF
Chapter: 1. An algorithm for checking amenability 339 Download as PDF
Chapter: 2. Two-generated one-relator groups 342 Download as PDF
Chapter: 3. Uniformly exponential growth and growth of graded algebras 346 Download as PDF
Chapter: 4. More on uniformly exponential growth of one-relator groups 349 Download as PDF
Bibliography 352 Download as PDF
Article: ÉQUISINGULARITÉ DANS LES PINCEAUX DE GERMES DE COURBES PLANES ET $C^0$-SUFFISANCE 355 Download as PDF
Chapter: §1. Introduction 355 Download as PDF
Chapter: §2. ÉLIMINATION DE L'INDÉTERMINATION LOCALE D'UNE FONCTION MÉROMORPHE À DEUX VARIABLES 357 Download as PDF
Chapter: §3. Valeurs spéciales d'un pinceau de germes de courbes planes 360 Download as PDF
Chapter: §4. L'OUVERT D'ÉQUISINGULARITÉ D'UN PINCEAU LOCAL 363 Download as PDF
Chapter: §5. Bonnes composantes dicritiques 369 Download as PDF
Chapter: §6. Étude d'un cas particulier 371 Download as PDF
Chapter: §7. Le calcul du degré de $C^0$ -suffisance 372 Download as PDF
Chapter: §8. Un petit historique de la $C^0$-suffisance 377 Download as PDF
Bibliography 379 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 381 Download as PDF
Chapter: ICMI STUDY ON THE TEACHING AND LEARNING OF MATHEMATICS AT UNIVERSITY LEVEL DISCUSSION DOCUMENT 381 Download as PDF
Chapter: 1. WHY A STUDY ON THE TEACHING AND LEARNING OF MATHEMATICS AT UNIVERSITY LEVEL ? 382 Download as PDF
Chapter: 2. THEMES AND ISSUES PERTAINING TO RESEARCH ON THE TEACHING AND LEARNING OF MATHEMATICS AT UNIVERSITY LEVEL 384 Download as PDF
Chapter: 3. THEMES AND ISSUES PERTAINING TO PRACTICE 385 Download as PDF
Chapter: 4. THEMES AND ISSUES RELATING TO POLICY 387 Download as PDF
Chapter: 5. Call for reactions 388 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 45 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.

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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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