L'Enseignement Mathématique

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Volume 42 (1996): L'ENSEIGNEMENT MATHÉMATIQUE
Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
Front matter Download as PDF
Front matter Download as PDF
Table of Contents 1 Download as PDF
Front matter 2 Download as PDF
Article: LA CONJECTURE abc 3 Download as PDF
Chapter: 1. Introduction 3 Download as PDF
Chapter: 2. La conjecture abc 4 Download as PDF
Chapter: 3. Applications de la conjecture abc 6 Download as PDF
Chapter: 4. A LA RECHERCHE DE FORMES EFFECTIVES 15 Download as PDF
Chapter: 5. GÉNÉRALISATIONS 20 Download as PDF
Bibliography 22 Download as PDF
Article: DOUBLE VALUED REFLECTION IN THE COMPLEX PLANE 25 Download as PDF
Chapter: Introduction 25 Download as PDF
Chapter: 1. Double valued reflection 26 Download as PDF
Chapter: 2. Conic sections 29 Download as PDF
Chapter: 3. The intrinsic theory: genus zero 33 Download as PDF
Chapter: 4. Riemann maps 36 Download as PDF
Chapter: 5. INVOLUTIONS ON A TORUS 40 Download as PDF
Chapter: 6. Embedding of tori 43 Download as PDF
Chapter: 7. A RECTANGULAR LATTICE 46 Download as PDF
Bibliography 48 Download as PDF
Article: KLYACHKO'S METHODS AND THE SOLUTION OF EQUATIONS OVER TORSION-FREE GROUPS 49 Download as PDF
Abstract 49 Download as PDF
Chapter: 1. Introduction 50 Download as PDF
Chapter: 2. The crash theorems 52 Download as PDF
Chapter: 3. TWO TRANSVERSALITY LEMMAS 57 Download as PDF
Chapter: 4. Application to the Kervaire problem 61 Download as PDF
Chapter: 5. The general case 67 Download as PDF
Chapter: 6. Further Applications 71 Download as PDF
Bibliography 73 Download as PDF
Article: CENTRALISERS IN THE BRAID GROUP AND SINGULAR BRAID MONOID 75 Download as PDF
Abstract 75 Download as PDF
Chapter: 1. Introduction and Basic Definitions 75 Download as PDF
Chapter: 2. Commutation and stabilisers 80 Download as PDF
Chapter: 3. Proof of Theorem 2.2 82 Download as PDF
Chapter: 4. Centralisers of braid subgroups 84 Download as PDF
Chapter: 5. The singular braid monoid and the map η 87 Download as PDF
Chapter: 6. Results regarding injectivity of η 89 Download as PDF
Chapter: 7. Centralisers in $SB_n$ 94 Download as PDF
Bibliography 95 Download as PDF
Article: MOYENNES SUR CERTAINS ENSEMBLES DE DIVISEURS D'UN ENTIER 97 Download as PDF
Abstract 97 Download as PDF
Chapter: 1. Introduction 97 Download as PDF
Chapter: 2. Propriétés arithmétiques de $\bar{f}$, $\hat{f}$ et $\tilde{f}$ 100 Download as PDF
Chapter: 3. Valeurs moyennes de $\bar{f}$, $\hat{f}$ et $\tilde{f}$ 106 Download as PDF
Chapter: 4. Mesure de l'écart entre f et les moyennes $\bar{f}$, $\hat{f}$ et $\tilde{f}$ 113 Download as PDF
Chapter: 5. GÉNÉRALISATIONS ET EXEMPLES 115 Download as PDF
Bibliography 122 Download as PDF
Article: EMPILEMENTS DE CERCLES ET REPRÉSENTATIONS CONFORMES: une nouvelle preuve du théorème de Rodin-Sullivan 125 Download as PDF
Chapter: I. Introduction 125 Download as PDF
Chapter: II. Le Théorème de Rodin-Sullivan : ÉNONCÉ ET SCHÉMA DE LA PREUVE 126 Download as PDF
Chapter: IV. Estimations à priori des rayons 135 Download as PDF
Chapter: V. Changement de variable 139 Download as PDF
Chapter: VI. Inégalité de Harnack 142 Download as PDF
Chapter: VII. Commentaires 149 Download as PDF
Chapter: 1. Sur l'inégalité de Harnack 149 Download as PDF
Chapter: 2. Sur le théorème de Rodin-Sullivan 150 Download as PDF
Bibliography 151 Download as PDF
Article: UNIFORM DISTRIBUTION ON DIVISORS AND BEHREND SEQUENCES 153 Download as PDF
Chapter: 1. DEFINITIONS AND BASIC RESULTS 153 Download as PDF
Chapter: 2. Functions of moderate growth 164 Download as PDF
Chapter: 3. Functions of excessive growth: the case $f(d) = d^\alpha$ 174 Download as PDF
Chapter: 4. FUNCTIONS OF EXCESSIVE GROWTH : THE CASE f(d) =θd 180 Download as PDF
Chapter: §5. Additive functions 190 Download as PDF
Chapter: 6. Metric results 193 Download as PDF
Bibliography 196 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 1 Download as PDF
Back matter Download as PDF
Back matter Download as PDF
Issue 3-4: L'ENSEIGNEMENT MATHÉMATIQUE
Front matter Download as PDF
Article: ON THE GAUSS-BONNET FORMULA FOR LOCALLY SYMMETRIC SPACES OF NONCOMPACT TYPE 201 Download as PDF
Abstract 201 Download as PDF
Chapter: Introduction 201 Download as PDF
Chapter: 1. The formula of Allendoerfer and Weil 203 Download as PDF
Chapter: 2. An exhaustion of locally symmetric spaces 204 Download as PDF
Chapter: 2.1. Reduction theory and geometry at infinity 204 Download as PDF
Chapter: 2.2. An exhaustion by polyhedra 207 Download as PDF
Chapter: 3. ESTIMATES FOR THE BOUNDARY SUBPOLYHEDRA 209 Download as PDF
Chapter: 4. A NEW PROOF OF THE GAUSS-BONNET FORMULA 212 Download as PDF
Bibliography 213 Download as PDF
Article: INTRODUCTORY NOTES ON RICHARD THOMPSON'S GROUPS 215 Download as PDF
Chapter: §1. Introduction to F 216 Download as PDF
Chapter: §2. Tree diagrams 218 Download as PDF
Chapter: §3. Presentations for F 225 Download as PDF
Chapter: §4. Further properties of F 227 Download as PDF
Chapter: §5. Thompson's group T 233 Download as PDF
Chapter: §6. Thompson's group V 240 Download as PDF
Chapter: §7. Piecewise integral projective structures 248 Download as PDF
Bibliography 254 Download as PDF
Article: SQUARE-FREE TOWER OF HANOI SEQUENCES 257 Download as PDF
Abstract 257 Download as PDF
Chapter: 0. Square-free strings and the Olive sequence 257 Download as PDF
Chapter: 1. A FINITE ALPHABET 260 Download as PDF
Chapter: 2. Smaller alphabets 262 Download as PDF
Bibliography 263 Download as PDF
Article: CHARACTERISTIC CLASSES, ELLIPTIC OPERATORS AND COMPACT GROUP ACTIONS 265 Download as PDF
Chapter: 0. Introduction 265 Download as PDF
Chapter: 1. CHARACTERISTIC CLASSES AND MULTIPLICATIVE SEQUENCES 266 Download as PDF
Chapter: 2. The index of an elliptic complex 271 Download as PDF
Chapter: 3. The Lefschetz fixed point formula 277 Download as PDF
Chapter: 4. The Lefschetz Theorem for foliated manifolds 282 Download as PDF
Chapter: 5. Group Actions and the Lefschetz Theorem 287 Download as PDF
Chapter: 6. The Rigidity Theorem of Witten 290 Download as PDF
Bibliography 292 Download as PDF
Article: BARBIER'S THEOREM FOR THE SPHERE AND THE HYPERBOLIC PLANE 295 Download as PDF
Chapter: 1. Introduction 295 Download as PDF
Chapter: 2. Curves of constant width in the euclidean plane 297 Download as PDF
Chapter: 3. Geodesic parallel coordinates 302 Download as PDF
Chapter: 4. Proof of the main results 307 Download as PDF
Bibliography 308 Download as PDF
Article: SYSTEMS OF CURVES ON A CLOSED ORIENTABLE SURFACE 311 Download as PDF
Chapter: 1. Introduction 311 Download as PDF
Chapter: 2. Necessary conditions 315 Download as PDF
Chapter: 3. SUFFICIENCY FOR A SINGLE HOMOLOGY CLASS 317 Download as PDF
Chapter: 4. SUFFICIENCY FOR INDEPENDENT HOMOLOGY CLASSES 319 Download as PDF
Chapter: 5. Disjoint simple closed curves on a planar surface 320 Download as PDF
Chapter: 6. SUFFICIENCY IN THEOREM 3 324 Download as PDF
Chapter: 7. Various instructive examples 332 Download as PDF
Chapter: 8. Some Final Observations 335 Download as PDF
Bibliography 339 Download as PDF
Article: THE ZERO-IN-THE-SPECTRUM QUESTION 341 Download as PDF
Abstract 341 Download as PDF
Chapter: 1. Introduction 341 Download as PDF
Chapter: 2. DEFINITION OF $L^2$ -COHOMOLOGY 343 Download as PDF
Chapter: 3. General Properties of $L^2$-Cohomology 351 Download as PDF
Chapter: 4. Very Low Dimensions 358 Download as PDF
Chapter: 4.1 One Dimension 358 Download as PDF
Chapter: 4.2 Two Dimensions 361 Download as PDF
Chapter: 5. Universal Covers 362 Download as PDF
Chapter: 5.1 Big and Small Groups 363 Download as PDF
Chapter: 5.2 Two and Three Dimensions 365 Download as PDF
Chapter: 5.3 Four Dimensions 367 Download as PDF
Chapter: 5.4 More Dimensions 369 Download as PDF
Chapter: 6. Topologically Tame Manifolds 372 Download as PDF
Bibliography 375 Download as PDF
Article: IN DEFENSE OF EULER 377 Download as PDF
Bibliography 382 Download as PDF
Article: FACTOR EQUIVALENCE RESULTS FOR INTEGERS AND UNITS 383 Download as PDF
Abstract 383 Download as PDF
Chapter: 1. Introduction 383 Download as PDF
Chapter: 2. Factorizability and factor equivalence 384 Download as PDF
Chapter: 3. Rings of integers 386 Download as PDF
Chapter: 4. S-UNITS 387 Download as PDF
Chapter: 5. Applications 391 Download as PDF
Bibliography 393 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 395 Download as PDF
Article: UNDERSTANDING THE PROCESSES OF ADVANCED MATHEMATICAL THINKING 395 Download as PDF
Chapter: Introduction 395 Download as PDF
Chapter: THE DEVELOPMENT OF MATHEMATICAL THINKING 395 Download as PDF
Chapter: compression of knowledge in mathematics 398 Download as PDF
Chapter: VISUALISING MATHEMATICAL CONCEPTS 400 Download as PDF
Chapter: USING SYMBOLISM TO COMPRESS PROCESS INTO CONCEPT 404 Download as PDF
Chapter: SEQUENTIAL AND PROCEDURAL COMPRESSION 406 Download as PDF
Chapter: transition to formal mathematics 407 Download as PDF
Chapter: Can we teach students to "think mathematically" ? 410 Download as PDF
Chapter: Reflections on mathematical thinking 412 Download as PDF
Bibliography 413 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 27 Download as PDF
Back matter Download as PDF
Index Download as PDF
Back matter Download as PDF
Back matter 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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