|
Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
|
|
|
Front matter
|
|
|
Table of Contents
|
|
|
Front matter
|
|
|
Index
|
|
|
Front matter
|
|
|
Front matter
|
1
|
|
Article: SUR LA FONCTION: NOMBRE DE FACTEURS PREMIERS DE N
|
3
|
|
Abstract
|
3
|
|
Chapter: Introduction
|
3
|
|
Chapter: §1. DÉMONSTRATION DU THÉORÈME 1
|
6
|
|
Chapter: §2. DÉMONSTRATION DU THÉORÈME 2
|
10
|
|
Chapter: §3. Valeurs extrêmes de f(n) + f(n +1)
|
12
|
|
Kapitel: §4. Nombres ω-intéressants
|
17
|
|
Kapitel: §5. DÉMONSTRATION DU THÉORÈME 4
|
19
|
|
Bibliographie
|
25
|
|
Artikel: THE HYPER-KLOOSTERMAN SUM
|
29
|
|
Kapitel: 1. Introduction
|
29
|
|
Kapitel: 2. Lemmas
|
30
|
|
Kapitel: 3. Proof of Theorems 1 and 2
|
32
|
|
Bibliographie
|
40
|
|
Artikel: THÉORÈMES DE GAUSS-BONNET, DE HOPF, ET RÉSIDUS DES CONNEXIONS MÉTRIQUES A SINGULARITÉS
|
41
|
|
Kapitel: 1. Introduction
|
41
|
|
Kapitel: 2. Connexions métriques sur une surface (Rappels)
|
43
|
|
Kapitel: 3. Résidus et formule locale de Gauss-Bonnet
|
45
|
|
Kapitel: 4. Théorème des résidus
|
47
|
|
Kapitel: 5. Connexions métriques sans singularités
|
48
|
|
Kapitel: 6. Connexions métriques plates a singularités isolées
|
50
|
|
Bibliographie
|
55
|
|
Artikel: SCHUBERT CALCULUS OF A COXETER GROUP
|
57
|
|
Kapitel: Introduction
|
57
|
|
Kapitel: 1. Coxeter groups
|
59
|
|
Kapitel: 2. Demazure's basis theorem
|
63
|
|
Kapitel: 3. GIAMBELLI FORMULA
|
66
|
|
Kapitel: 4. Pieri formula
|
71
|
|
Kapitel: 5. $H_w$ AS A AND PARABOLICS
|
74
|
|
Kapitel: 6. Application: The combinatorics of the classical Pieri formula
|
76
|
|
Bibliographie
|
83
|
|
Artikel: SPECKER'S MATHEMATICAL WORK FROM 1949 TO 1979
|
85
|
|
Kapitel: From doctorate to professorship
|
87
|
|
Kapitel: Enjoyment of interaction
|
88
|
|
Kapitel: Topology and recursive analysis
|
88
|
|
Kapitel: An example of beginning with concrete problems
|
89
|
|
Kapitel: Logic and quantum mechanics
|
90
|
|
Kapitel: Typical ambiguity and model theory
|
92
|
|
Kapitel: Complexity of algorithms
|
94
|
|
Kapitel: Specker's Mathematical Publications (1949-79)
|
96
|
|
Artikel: TOWARDS A COMPLEXITY THEORY OF SYNCHRONOUS PARALLEL COMPUTATION
|
99
|
|
Kurzfassung
|
99
|
|
Kapitel: 1. Introduction
|
99
|
|
Kapitel: 2. Circuits and Alternating Turing Machines
|
102
|
|
Kapitel: 3. Log Depth vs Log Space
|
109
|
|
Kapitel: 4. Conglomerates and Aggregates
|
111
|
|
Kapitel: 5. Hardware Modification Machines
|
116
|
|
Kapitel: 6. Other Modifiable Models
|
117
|
|
Kapitel: 7. Simultaneous Resource Bounds
|
118
|
|
Kapitel: 8. Open Questions
|
122
|
|
Bibliographie
|
123
|
|
Artikel: ZUR AXIOMATISIERUNG GEWISSER AFFINER GEOMETRIEN
|
125
|
|
Kapitel: 1. EINFÜHRUNG UND PROBLEMSTELLUNG
|
125
|
|
Kapitel: 2. Beweis der Charakterisierungslemmas
|
128
|
|
Kapitel: 3. Die Nicht-Charakterisierbarkeit
|
132
|
|
Kapitel: 4. SCHLUSSBEMERKUNGEN
|
134
|
|
Bibliographie
|
135
|
|
Artikel: ALTERNATION AND THE ACKERMANN CASE OF THE DECISION PROBLEM
|
137
|
|
Kurzfassung
|
137
|
|
Kapitel: 1. Introduction and historical background
|
137
|
|
Kapitel: 2. Some notions from logic
|
141
|
|
Kapitel: 3. Some notions from computational complexity
|
142
|
|
Kapitel: 4. Alternating Turing machines
|
144
|
|
Kapitel: 5. Upper bounds
|
147
|
|
Kapitel: 6. Lower bounds
|
154
|
|
Kapitel: Conclusions
|
159
|
|
Kapitel: Acknowledgment
|
160
|
|
Bibliographie
|
160
|
|
Artikel: PROBLEMS AND RESULTS ON FINITE AND INFINITE COMBINATORIAL ANALYSIS II
|
163
|
|
Artikel: HOMÉOMORPHIE DES ROTATIONS DE $S^m$ ÉVOLUTION D'UN PROBLÈME, SOUVENIRS
|
177
|
|
Bibliographie
|
183
|
|
Artikel: THE RIEMANN-ROCH THEOREM FOR COMPACT RIEMANN SURFACES
|
185
|
|
Kapitel: §1. Introduction
|
185
|
|
Kapitel: §2. Line bundles and vector bundles. Sheaf theoretic preliminaries
|
185
|
|
Kapitel: §3. RIEMANN-ROCH THEOREM (PRELIMINARY FORM)
|
189
|
|
Kapitel: §4. The degree of the canonical line bundle
|
191
|
|
Kapitel: §5. RIEMANN-ROCH THEOREM (FINAL FORM). SERRE DUALITY
|
193
|
|
Bibliographie
|
196
|
|
Artikel: IDENTITIES FOR PRODUCTS OF GAUSS SUMS OVER FINITE FIELDS
|
197
|
|
Kapitel: 1. Introduction
|
197
|
|
Kapitel: 2. Notation and the identities
|
198
|
|
Kapitel: 3. Theorems of Stickelberger and Davenport-Hasse
|
200
|
|
Kapitel: 4. Proof of (2)
|
200
|
|
Kapitel: 5. Proof of (3)
|
201
|
|
Kapitel: 6. Proof of (4)
|
204
|
|
Kapitel: 7. Proof of (5)
|
206
|
|
Kapitel: 8. Character sum analogues of (1), (1a) and (1b)
|
207
|
|
Bibliographie
|
209
|
|
Artikel: ON THE GENUS OF GENERALIZED FLAG MANIFOLDS
|
211
|
|
Kapitel: Introduction
|
211
|
|
Kapitel: §1. Genus and self maps
|
213
|
|
Kapitel: §2. The case of generalized flag manifolds
|
216
|
|
Bibliographie
|
219
|
|
Artikel: SUR L'USAGE DE CRITÈRES POUR RECONNAÎTRE UN GROUPE LIBRE, UN PRODUIT AMALGAMÉ OU UNE HNN-EXTENSION
|
221
|
|
Kapitel: Introduction
|
221
|
|
Kapitel: 2. DÉFINITIONS ET GÉNÉRALITÉS SUR LES ACTIONS DE GROUPES ET LES GRAPHES
|
222
|
|
Kapitel: 3. Critère pour groupes libres
|
225
|
|
Kapitel: 4. Critères pour produits amalgamés
|
230
|
|
Kapitel: 5. Critère pour les HNN-extensions
|
232
|
|
Kapitel: 6. Structures bipolaires
|
236
|
|
Bibliographie
|
242
|
|
Artikel: LOCALLY HOMOGENEOUS VARIATIONS OF HODGE STRUCTURE
|
243
|
|
Kapitel: Introduction
|
243
|
|
Kurzfassung: TABLE OF CONTENTS
|
246
|
|
Kapitel: §1. Preliminaries
|
246
|
|
Kapitel: §2. Vector bundles on Γ\M
|
250
|
|
Kapitel: §3. The cohomology groups $H^n(\Gamma; \rho, V)$
|
254
|
|
Kapitel: §4. The variation of Hodge structure associated to (ρ, V)
|
261
|
|
Kapitel: §5. Hodge theory for $H^n(\Gamma; \rho, V)$, FROM THE VARIATION OF HODGE STRUCTURE
|
264
|
|
Bibliographie
|
276
|
|
Artikel: APPLICATION OF TOPOLOGY TO PROBLEMS ON SUMS OF SQUARES
|
277
|
|
Bibliographie
|
283
|
|
Artikel: FINITENESS THEOREMS IN GEOMETRIC CLASSFIELD THEORY
|
285
|
|
Kapitel: 0. Introduction
|
285
|
|
Kapitel: II. Preliminaries
|
288
|
|
Kapitel: II. The Main theorem
|
294
|
|
Chapter: III. A VARIANT
|
306
|
|
Chapter: IV. Absolute Finiteness theorems
|
311
|
|
Chapter: V. Application to l-adic representations
|
312
|
|
Bibliography
|
314
|
|
Article: APPENDIX: TORSION POINTS OF ABELIAN VARIETIES IN CYCLOTOMIC EXTENSIONS
|
315
|
|
Bibliography
|
319
|
|
Article: ON COUSIN-I COMPLEX SPACES
|
321
|
|
Abstract: Summary
|
321
|
|
Rubric
|
322
|
|
Bibliography
|
325
|
|
Article: DESCARTES, EULER, POINCARÉ, PÓLYA—AND POLYHEDRA
|
327
|
|
Chapter: 1. Introduction
|
327
|
|
Chapter: 2. Pólya's proof of Descartes' theorem
|
331
|
|
Chapter: 3. The angular defect in higher dimensions
|
335
|
|
Chapter: 3. Historical comment and summary
|
342
|
|
Bibliography
|
343
|
|
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE
|
345
|
|
Chapter: FIFTH INTERNATIONAL CONGRESS ON MATHEMATICS EDUCATION
|
345
|
|
Article: INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION, 1980-81
|
347
|
|
Chapter: 1. THE PRESIDENT'S REPORT
|
347
|
|
Chapter: 2. ICME iv
|
348
|
|
Chapter: 3. BULLETIN OF ICMI
|
350
|
|
Chapter: 4. FUTURE ACTIVITIES
|
350
|
|
Rubric: BULLETIN BIBLIOGRAPHIQUE
|
1
|
|
Rubric: BULLETIN BIBLIOGRAPHIQUE
|
57
|
|
Back matter
|
|