L'Enseignement Mathématique

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Volume 23 (1977): 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: KRITISCHE PUNKTE UND KRÜMMUNG FÜR DIE MENGEN DES KONVEXRINGES 1 Download as PDF
Bibliography 6 Download as PDF
Article: QUADRATIC FORMS IN AN ADELIC SETTING 7 Download as PDF
Chapter: 1. Introduction 7 Download as PDF
Chapter: 2. The Mean Value Formula 7 Download as PDF
Chapter: 3. Formulation of Siegel's Theorem 8 Download as PDF
Chapter: 4. Derivation of Siegel's Theorem 9 Download as PDF
Bibliography 12 Download as PDF
Article: ON THE EVALUATION OF GAUSSIAN SUMS FOR NON-PRIMITIVE DIRICHLET CHARACTERS 13 Download as PDF
Chapter: 1. Introduction 13 Download as PDF
Chapter: 2. Proof of theorem B 14 Download as PDF
Chapter: 4. Special cases 17 Download as PDF
Bibliography 18 Download as PDF
Article: ON THE NUMBER OF ZEROS OF FUNCTIONS 19 Download as PDF
Chapter: 0. Introduction 19 Download as PDF
Chapter: 1. A BASIC LEMMA 20 Download as PDF
Chapter: 2. A USEFUL IDENTITY 21 Download as PDF
Chapter: 3. An estimation by interpolation 23 Download as PDF
Chapter: 4. EXPONENTIAL POLYNOMIALS 26 Download as PDF
Chapter: 5. Further results 35 Download as PDF
Bibliography 37 Download as PDF
Article: STABILITY OF PROJECTIVE VARIETIES 39 Download as PDF
Abstract: Contents 39 Download as PDF
Chapter: Introduction 39 Download as PDF
Chapter: §1. Stable points of représentation, examples and Chow forms 41 Download as PDF
Chapter: §2. A CRITERION FOR $X^r \subset P^n$ TO BE STABLE 54 Download as PDF
Chapter: §3. Effect of Singular Points on Stability 68 Download as PDF
Chapter: §4. Asymptotic Stability of Canonically Polarized Curves 82 Download as PDF
Chapter: §5. The Moduli Space of Stable Curves 92 Download as PDF
Chapter: LINE BUNDLES ON THE MODULI SPACE 99 Download as PDF
Appendix: APPENDIX 108 Download as PDF
Bibliography 110 Download as PDF
Article: GÉNÉRALISATION DES SUITES SPECTRALES 111 Download as PDF
Bibliography 116 Download as PDF
Article: PROFILS ET RÉDUITE TRANSJORDANIENNE D'UNE MATRICE CARRÉE 117 Download as PDF
Chapter: I. Itération d'un endomorphisme (singulier) 117 Download as PDF
Chapter: II. Analyse d'un endomorphisme f. Théorèmes préliminaires 119 Download as PDF
Chapter: III. RÉDUITE TRANSJORDANIENNE DE f 121 Download as PDF
Chapter: IV. Condition nécessaire et suffisante de similitude DE DEUX MATRICES 124 Download as PDF
Chapter: V. Applications 125 Download as PDF
Article: EXTENSION AND LIFTING OF $C^\infty$ WHITNEY FIELDS 129 Download as PDF
Bibliography 137 Download as PDF
Article: SISTEMI NORMALI DI GENERATORI PER GLI IDEALI DI Z [x] 139 Download as PDF
Preface: Premessa 139 Download as PDF
Chapter: 1. Sistemi normali 139 Download as PDF
Chapter: 2. Segnature 141 Download as PDF
Chapter: 3. Teorema Fondamentale 145 Download as PDF
Chapter: Nota 147 Download as PDF
Bibliography 148 Download as PDF
Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE 151 Download as PDF
Chapter: ANNOUNCEMENT FROM THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION ABOUT AN ICMI-SYMPOSIUM TO BE HELD AT THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, HELSINKI, AUGUST 1978, ON THE FOLLOWING THEME: 151 Download as PDF
Article: THE GELFAND-NAIMARK THEOREMS FOR C*-ALGEBRAS 153 Download as PDF
Chapter: 1. Introduction 153 Download as PDF
Chapter: 2. Definitions and motivation 154 Download as PDF
Chapter: 3. Historical Development 155 Download as PDF
Chapter: 4. The Gelfand-Naimark representation theorem for commutative b*-algebras 157 Download as PDF
Chapter: 5. The Gelfand-Naimark theorem for arbitrary B*-algebras 160 Download as PDF
Chapter: 6. Geometrical characterizations of B*-algebras 172 Download as PDF
Chapter: 7. Further weakening of the B*-axioms 175 Download as PDF
Chapter: 8. Applications 177 Download as PDF
Bibliography 178 Download as PDF
Article: REPRESENTATION OF COMPLETELY CONVEX FUNCTIONS BY THE EXTREME-POINT METHOD 181 Download as PDF
Chapter: 0. Introduction 181 Download as PDF
Chapter: 1. Completely convex functions 182 Download as PDF
Chapter: 2. Determination of the extreme rays of W 184 Download as PDF
Chapter: 3. Determination of a base for W 187 Download as PDF
Bibliography 190 Download as PDF
Article: SOME CONTRIBUTIONS OF BENO ECKMANN TO THE DEVELOPMENT OF TOPOLOGY AND RELATED FIELDS 191 Download as PDF
Chapter: Introduction 191 Download as PDF
Chapter: 1. Continuous solutions of Systems of linear equations 193 Download as PDF
Chapter: 2. A group theoretical proof of the Hurwitz-Radon Theorem 195 Download as PDF
Chapter: 3. Complexes with operators 197 Download as PDF
Chapter: 5. Simple homotopy type 202 Download as PDF
Bibliography 204 Download as PDF
Article: ON THE CHARACTERISTIC CLASSES OF GROUPS OF DIFFEOMORPHISMS 209 Download as PDF
Bibliography 219 Download as PDF
Article: ALTERNATIVE HOMOTOPY THEORIES 221 Download as PDF
Chapter: 1. Introduction 221 Download as PDF
Chapter: 2. EQUIVARIANT HOMOTOPY THEORY 223 Download as PDF
Chapter: 3. Some examples 225 Download as PDF
Chapter: 4. Ex-HOMOTOPY THEORY 227 Download as PDF
Chapter: 5. The register theorem 229 Download as PDF
Chapter: 6. The exact sequence 230 Download as PDF
Chapter: 7. The adjoint G-bundle 232 Download as PDF
Chapter: 8. Examples 235 Download as PDF
Bibliography 237 Download as PDF
Article: LA (2p+1)-ÈME DÉVIATION D'UN ANNEAU LOCAL 239 Download as PDF
Chapter: Introduction 240 Download as PDF
Chapter: 2p premières déviations 241 Download as PDF
Chapter: 2p + 1-ème déviation 243 Download as PDF
Chapter: Situation générique 245 Download as PDF
Chapter: Conclusion 246 Download as PDF
Bibliography 247 Download as PDF
Article: CHARACTERISTIC NUMBERS OF 3-MANIFOLDS 249 Download as PDF
Bibliography 254 Download as PDF
Article: ON REPRESENTATION OF FUNCTIONS BY MEANS OF SUPERPOSITIONS AND RELATED TOPICS 255 Download as PDF
Abstract: CONTENTS 255 Download as PDF
Chapter: Preface 256 Download as PDF
Chapter: Chapter 1. — Survey of results 257 Download as PDF
Chapter: §1. Superpositions of analytic functions 258 Download as PDF
Chapter: §2. The problem of resolvents 259 Download as PDF
Chapter: §3. Superpositions of smooth functions and the theory of approximation 261 Download as PDF
Chapter: §4. Superpositions of continuons functions 263 Download as PDF
Chapter: §5. Linear superpositions 265 Download as PDF
Chapter: Chapter 2. — Superpositions of smooth functions 267 Download as PDF
Chapter: §1. The notion of entropy 267 Download as PDF
Chapter: §2. The entropy of the space of smooth functions 269 Download as PDF
Chapter: §3. Theorem on superpositions of smooth functions 276 Download as PDF
Chapter: Chapter 3. — Superpositions of continuous functions 277 Download as PDF
Chapter: §1. Certain improvements of Kolmogorov 's theorem 277 Download as PDF
Chapter: §2. The theorem of Kahane 279 Download as PDF
Chapter: §3. The main lemma 280 Download as PDF
Chapter: §4. The proof of the theorem 282 Download as PDF
Chapter: Chapter 4. — Linear superpositions 283 Download as PDF
Chapter: §1. Notation 283 Download as PDF
Chapter: §2. Estimate of the difference of the integrais of one term of a superposition along nearby level curves 284 Download as PDF
Chapter: §3. Deletion of dependent terms 288 Download as PDF
Chapter: §4. Reduction of linear superpositions to a form with independent terms 292 Download as PDF
Chapter: §5. The set of linear superpositions in the space of continuous functions is closed 296 Download as PDF
Chapter: §6. The set of linear superpositions in the space of continuous functions is nowhere dense 299 Download as PDF
Chapter: Chapter 5. — Dimension of the space of linear superpositions 302 Download as PDF
Chapter: §1. (ε,δ)-entropy and the "dimension" of function spaces 302 Download as PDF
Chapter: §2. (ε,δ)-entropy of the set of linear superpositions 306 Download as PDF
Chapter: §3. Functional "dimension" of the space of linear superpositions 311 Download as PDF
Chapter: §4. Variation of superpositions of smooth functions 312 Download as PDF
Chapter: §5. Instability of the representation of functions as superpositions of smooth functions 316 Download as PDF
Bibliography 317 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 1 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 49 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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