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Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
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Front matter
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Table of Contents
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Front matter
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Index
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Front matter
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Article
FOUR CHARACTERIZATIONS OF REAL RATIONAL DOUBLE POINTS
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1
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Bibliography
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6
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Article
IDÉAUX DE GERMES D'OPÉRATEURS DIFFÉRENTIELS À UNE VARIABLE
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7
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Chapter
Introduction
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7
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Chapter
I. Base standard d'un idéal de D
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8
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Chapter
II. Idéaux à singularité régulière
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17
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Bibliography
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38
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Article
THE ACTION OF THE MAPPING CLASS GROUP ON CURVES IN SURFACES
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39
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Bibliography
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55
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Article
TRANSFORMÉES DE LAPLACE DES MICROSOLUTIONS DE SYSTÈMES HOLONOMES
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57
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Chapter
0. La condition « non caractéristique »
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58
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Chapter
1. Etude des microsolutions, dans le cas d'une seule variable (n =0)
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62
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Chapter
2. Etude des microsolutions dans le cas général
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72
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Chapter
3. Appendice sur le cas réel: solutions microfonctions de Sato
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81
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Bibliography
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84
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Article
LINEAR ALGEBRA PROOF OF CLIFFORD'S THEOREM
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85
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Chapter
1. The key lemma
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85
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Chapter
2. A BRIEF RESUME OF DIVISORS ON CURVES
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87
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Chapter
3. Clifford's Theorem — The elementary proof
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89
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Bibliography
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94
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Article
SUR UNE INÉGALITÉ DE MONTGOMERY-VAUGHAN
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95
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Chapter
inégalités de grand crible et leurs applications
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95
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Chapter
inégalités de Hilbert-Montgomery-Vaughan
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96
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Bibliography
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113
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Article
GROUPE DE BRAUER DES CORPS DE FRACTIONS RATIONNELLES À COEFFICIENTS COMPLEXES
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115
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Chapter
Introduction
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115
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Chapter
§1. Théorème d'Auslander-Brumer-Faddeev
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116
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Chapter
§2. La normalisation
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119
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Chapter
§3. Calcul de χ(K)
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123
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Chapter
§4. Interprétation de χ(K)
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127
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Chapter
§5. Application à la construction d'algèbres simples
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131
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Chapter
§6. Divisibilité de $Br(C(t_1,\ldots, t_n))$
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135
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Bibliography
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139
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Article
MULTIPLICATIVE INVARIANTS
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141
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Chapter
§1. The Bergman-Roseblade Theorem
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143
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Chapter
§2. Galois Theory
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144
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Chapter
§3. The Shephard-Todd-Chevalley Theorem
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147
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Appendix
§4. Appendix
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152
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Chapter
§5. Weyl Groups
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152
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Bibliography
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157
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Rubric
COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION)
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159
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Chapter
AN INTRODUCTION TO THE ICMI STUDY ON THE COMPUTER AND INFORMATICS
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159
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Article
THE INFLUENCE OF COMPUTERS AND INFORMATICS ON MATHEMATICS AND ITS TEACHING
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161
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Chapter
1. The effect on mathematics
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162
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Chapter
2. The effect of computers on curricula
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165
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Chapter
3. The computer as an aid to the teaching of mathematics
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168
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Chapter
3.1. The general effects of computers
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168
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Chapter
3.2. Objectives and modes of operation
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169
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Chapter
3.3. The treatment of particular areas
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170
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Chapter
3.4. Assessment and recording
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172
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Chapter
3.5. The training of teachers
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172
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Article
LE PROBLÈME DE J. MILNOR SUR LE NOMBRE GORDIEN DES NŒUDS ALGÉBRIQUES
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173
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Chapter
Introduction
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173
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Chapter
§1. Genre des courbes planes et conjecture de R. Thom
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174
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Chapter
§2. Genres de Murasugi et de Seifert des entrelacs
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178
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Chapter
§3. Nombre gordien des entrelacs
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182
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Chapter
§4. Le problème de Milnor
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187
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Chapter
§5. Relation entre le nombre gordien et d'autres invariants de la theorie des entrelacs
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193
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Chapter
§6. Signatures
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208
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Chapter
§7. Quelques problèmes liés au nombre gordien
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216
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Bibliography
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220
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Article
PARTITIONS INTO SQUARES
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223
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Abstract
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223
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Rubric
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224
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Bibliography
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245
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Article
LARGE FREE GROUPS OF ISOMETRIES AND THEIR GEOMETRICAL USES
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247
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Chapter
§1. Introduction
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247
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Chapter
§2. The Main Theorem
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248
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Chapter
§3. A Preliminary Theorem About Metric Spaces
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250
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Chapter
§4. Spheres
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251
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Chapter
§5. Euclidean Spaces
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252
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Chapter
§6. Hyperbolic Spaces
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253
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Chapter
§7. Geometrical Consequences
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256
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Chapter
§8. A Paradoxical Decomposition Using Borel Sets
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260
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Chapter
§9. Linear Transformations of the Euclidean Plane
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262
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Bibliography
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266
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Article
TRIPLY UNIVERSAL ENTIRE FUNCTION
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269
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Bibliography
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273
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Article
THE ARITHMETIC-GEOMETRIC MEAN OF GAUSS
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275
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Chapter
Introduction
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275
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Chapter
1. The arithmetic-geometric mean of real numbers
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276
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Chapter
2. The arithmetic-geometric mean of complex numbers
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283
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Chapter
3. HISTORICAL REMARKS
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310
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Bibliography
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329
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Article
DISTRIBUTION DES VALEURS DE LA FONCTION D'EULER
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331
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Abstract
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331
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Rubric
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332
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Bibliography
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338
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Rubric
BULLETIN BIBLIOGRAPHIQUE
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1
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Rubric
BULLETIN BIBLIOGRAPHIQUE
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57
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Back matter
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Back matter
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