L'Enseignement Mathématique

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Volume 36 (1990): L'ENSEIGNEMENT MATHÉMATIQUE
Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
Front matter Download as PDF
Table of Contents Download as PDF
Front matter Download as PDF
Index Download as PDF
Front matter Download as PDF
Article: STATE MODELS FOR LINK POLYNOMIALS 1 Download as PDF
Chapter: I. Introduction 1 Download as PDF
Chapter: II. Skein polynomials 2 Download as PDF
Chapter: III. A SKEIN MODEL FOR THE HOMFLY POLYNOMIAL 9 Download as PDF
Chapter: IV. A Skein Model for the Kauffman polynomial 12 Download as PDF
Chapter: V. Graph polynomials 14 Download as PDF
Chapter: VI. The Conway Polynomial 18 Download as PDF
Chapter: VII. Yang-Baxter Models 21 Download as PDF
Chapter: VIII. Applications and questions 27 Download as PDF
Chapter: IX. Relations with mathematical physics 28 Download as PDF
Appendix: Appendix on state model formalism 31 Download as PDF
Bibliography 33 Download as PDF
Article: GAUSS SUMS AND THEIR PRIME FACTORIZATION 39 Download as PDF
Chapter: Introduction 39 Download as PDF
Chapter: 1. Gauss sums and some of their properties 39 Download as PDF
Chapter: 2. The prime factorization of p in Q(pm) 42 Download as PDF
Chapter: 3. The prime factorization of the Gauss sum: statement of the result 43 Download as PDF
Chapter: 4. A USEFUL LEMMA 44 Download as PDF
Chapter: 5. The prime factorization of the Gauss sum: proof of the result 46 Download as PDF
Chapter: 6. Annihilators of the ideal class group of a cyclotomic field 47 Download as PDF
Bibliography 51 Download as PDF
Article: EXCEPTIONAL POLYNOMIALS AND THE REDUCIBILITY OF SUBSTITUTION POLYNOMIALS 53 Download as PDF
Chapter: 1. Introduction 53 Download as PDF
Chapter: 2. The semi-factorable families 55 Download as PDF
Chapter: 3. Substitution polynomials with a quadratic factor 58 Download as PDF
Chapter: 4. Substitution polynomials with a cubic factor 63 Download as PDF
Bibliography 65 Download as PDF
Article: THE POMPEIU PROBLEM REVISITED 67 Download as PDF
Abstract 67 Download as PDF
Chapter: 1. Introduction 67 Download as PDF
Chapter: 2. Spectral analysis of radial functions 70 Download as PDF
Chapter: 3. POMPEIU PROBLEM FOR THE M(2) ACTION ON $R^2$ 73 Download as PDF
Chapter: 4. A LONG-STANDING CONJECTURE ! 77 Download as PDF
Chapter: 5. Pompeiu property in non-compact symmetric spaces 78 Download as PDF
Chapter: 6. Symmetric spaces of the compact type 82 Download as PDF
Chapter: 7. Pompeiu property for two-sided translations on groups 85 Download as PDF
Chapter: 8. CONCLUDING REMARKS 88 Download as PDF
Bibliography 89 Download as PDF
Article: LINK SIGNATURE, GOERITZ MATRICES AND POLYNOMIAL INVARIANTS 93 Download as PDF
Abstract: Abstract 93 Download as PDF
Chapter: 1. P-SKEINS AND SIGNATURE 93 Download as PDF
Chapter: 1.1. PRELIMINARIES 93 Download as PDF
Chapter: 1.2. Signature and oriented skeins 95 Download as PDF
Chapter: 2. Goeritz matrices and the F-polynomial 100 Download as PDF
Chapter: 2.1. The Goeritz matrix and graph of a link 100 Download as PDF
Chapter: 2.2. Kauffman's polynomial and the Goeritz matrix 104 Download as PDF
Bibliography 113 Download as PDF
Article: TOPOLOGICAL SERIES OF ISOLATED PLANE CURVE SINGULARITIES 115 Download as PDF
Abstract 115 Download as PDF
Chapter: 1. Introduction 115 Download as PDF
Chapter: 2. SPLICING AND SERIES 117 Download as PDF
Chapter: 3. The definition of topological series 121 Download as PDF
Chapter: 4. The spectrum of a plane curve singularity 125 Download as PDF
Chapter: 5. Invariants in the case that f has only transversal $A_1$ singularities 130 Download as PDF
Chapter: 6. Equations 132 Download as PDF
Appendix: Appendix 136 Download as PDF
Bibliography 140 Download as PDF
Article: VALUES OF QUADRATIC FORMS AT INTEGRAL POINTS: AN ELEMENTARY APPROACH 143 Download as PDF
Appendix: Appendix Trajectories of unipotent flows and minimal sets 162 Download as PDF
Bibliography 173 Download as PDF
Article: ON THE INVERSIVE DIFFERENTIAL GEOMETRY OF PLANE CURVES 175 Download as PDF
Chapter: §1. Introduction 175 Download as PDF
Chapter: §2. THE INFINITESIMAL COXETER INVARIANT 178 Download as PDF
Chapter: §3. The four vertex theorem in $R^2$ 181 Download as PDF
Chapter: §4. A GENERALIZATION OF THE INVARIANCE OF ω 181 Download as PDF
Chapter: §5. A GENERALIZED FOUR VERTEX THEOREM 184 Download as PDF
Chapter: §6. Normal form and inversive curvature 184 Download as PDF
Chapter: §7. The canonical map g:γ→G 187 Download as PDF
Chapter: §8. Relation with Cartan's moving frames 188 Download as PDF
Chapter: §9. LOXODROMES 189 Download as PDF
Chapter: §10. The complex of geometric forms on a curve in $R^2$ 192 Download as PDF
Bibliography 196 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 197 Download as PDF
Chapter: ASSESSMENT IN MATHEMATICS EDUCATION AND ITS EFFECTS 197 Download as PDF
Chapter: DISCUSSION DOCUMENT 197 Download as PDF
Chapter: Background and outline of the study 197 Download as PDF
Chapter: Call for papers 205 Download as PDF
Obituary: GEORGES DE RHAM 1903-1990 207 Download as PDF
Bibliography 213 Download as PDF
Article: CONTACT GEOMETRY AND WAVE PROPAGATION 215 Download as PDF
Chapter: §1. Basic definitions 215 Download as PDF
Chapter: §2. Characteristics 222 Download as PDF
Chapter: §3. Submanifolds 235 Download as PDF
Chapter: §4. Legendre fibrations and singularities 246 Download as PDF
Chapter: §5. Legendre varieties and the obstacle problem 252 Download as PDF
Bibliography 265 Download as PDF
Article: YANGIANS AND R-MATRICES 267 Download as PDF
Chapter: 0. Introduction 267 Download as PDF
Chapter: 1. Yangians 271 Download as PDF
Chapter: 2. Highest weight representations 276 Download as PDF
Chapter: 3. A COMBINATORIAL INTERLUDE 280 Download as PDF
Chapter: 4. Classification 283 Download as PDF
Chapter: 5. R-MATRICES AND INTERTWINING OPERATORS 294 Download as PDF
Chapter: 6. CONCLUDING REMARKS 299 Download as PDF
Bibliography 302 Download as PDF
Article: EXTERIOR ALGEBRAS AND THE QUADRATIC RECIPROCITY LAW 303 Download as PDF
Abstract 303 Download as PDF
Rubric 304 Download as PDF
Bibliography 307 Download as PDF
Article: THE HADAMARD-CARTAN THEOREM IN LOCALLY CONVEX METRIC SPACES 309 Download as PDF
Chapter: 1. Introduction 309 Download as PDF
Chapter: 2. Conjugate points 311 Download as PDF
Chapter: 3. Proof of Theorem 1 315 Download as PDF
Chapter: 4. COHN-VOSSEN'S THEOREM AND SPACES WITHOUT CONJUGATE POINTS 317 Download as PDF
Bibliography 320 Download as PDF
Article: THE DISTANCE BETWEEN IDEALS IN THE ORDERS OF A REAL QUADRATIC FIELD 321 Download as PDF
Chapter: 1. Introduction 321 Download as PDF
Chapter: 2. Basic definitions 322 Download as PDF
Chapter: 3. The homomorphism θ 330 Download as PDF
Chapter: 4. Reduced ideals 335 Download as PDF
Chapter: 5. Lagrange's reduction procedure 337 Download as PDF
Chapter: 6. Periods of reduced cycles 343 Download as PDF
Chapter: 7. COMPARISON OF DISTANCES BETWEEN CORRESPONDING IDEALS IN DIFFERENT ORDERS 350 Download as PDF
Chapter: 8. GAUSS'S REDUCTION PROCESS 352 Download as PDF
Bibliography 357 Download as PDF
Article: THE ROLE OF GAMES AND PUZZLES IN THE POPULARIZATION OF MATHEMATICS 359 Download as PDF
Abstract 359 Download as PDF
Chapter: popularization of mathematics 359 Download as PDF
Chapter: Games and mathematics 362 Download as PDF
Chapter: Games and puzzles as a means for popularization 364 Download as PDF
Bibliography 368 Download as PDF
Article: CATÉGORIES DÉRIVÉES ET DUALITÉ, TRAVAUX DE J.-L. VERDIER 369 Download as PDF
Chapter: 1. Catégories dérivées 369 Download as PDF
Chapter: 2. Dualité 378 Download as PDF
Bibliography 388 Download as PDF
Bibliography 389 Download as PDF
Bibliography 390 Download as PDF
Chapter: Note sur la bibliographie 391 Download as PDF
Article: MANIN'S PROOF OF THE MORDELL CONJECTURE OVER FUNCTION FIELDS 393 Download as PDF
Chapter: I. The Theorem of the Kernel 393 Download as PDF
Chapter: 0. Review of connections and hypercohomology 393 Download as PDF
Chapter: 1. Extensions of connections 395 Download as PDF
Chapter: 2. The Gauss-Manin connection 398 Download as PDF
Chapter: 3. Sections of a family and extensions of connections 399 Download as PDF
Chapter: 4. Abelian schemes 402 Download as PDF
Chapter: 5. The algebraic proof 403 Download as PDF
Chapter: 6. The analytic proof 409 Download as PDF
Chapter: II. PICARD-FUCHS EQUATIONS 412 Download as PDF
Chapter: 1. PICARD-FUCHS DIFFERENTIAL EQUATIONS 412 Download as PDF
Chapter: 2. PICARD-FUCHS COMPUTATIONS 415 Download as PDF
Chapter: III. MORDELL'S CONJECTURE 417 Download as PDF
Chapter: 1. Sets of bounded height 417 Download as PDF
Chapter: 2. Lang-Siegel towers 418 Download as PDF
Chapter: 3. COROLLARIES OF THE THEOREM OF THE KERNEL 419 Download as PDF
Chapter: 4. Proof of Mordell's conjecture 420 Download as PDF
Appendix: Appendix: Chai's proof of the Theorem of the Kernel 424 Download as PDF
Bibliography 427 Download as PDF
Rubric Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 1 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 27 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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