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v. 1 : sz ISBN 9783764327989
内容説明
Table of contents: Plenary Lectures * V.I. Arnold: The Vassiliev Theory of Discriminants and Knots * L. Babai: Transparent Proofs and Limits to Approximation * C. De Concini: Poisson Algebraic Groups and Representations of Quantum Groups at Roots of 1 * S.K. Donaldson: Gauge Theory and Four-Manifold Topology * W. Muller: Spectral Theory and Geometry * D. Mumford: Pattern Theory: A Unifying Perspective * A.-S. Sznitman: Brownian Motion and Obstacles * M. Vergne: Geometric Quantization and Equivariant Cohomology * Parallel Lectures * Z. Adamowicz: The Power of Exponentiation in Arithmetic * A. Bjorner: Subspace Arrangements * B. Bojanov: Optimal Recovery of Functions and Integrals * J.-M. Bony: Existence globale et diffusion pour les modeles discrets * R.E. Borcherds: Sporadic Groups and String Theory * J. Bourgain: A Harmonic Analysis Approach to Problems in Nonlinear Partial Differatial Equations * F. Catanese: (Some) Old and New Results on Algebraic Surfaces * Ch. Deninger: Evidence for a Cohomological Approach to Analytic Number Theory * S. Dostoglou and D.A. Salamon: Cauchy-Riemann Operators, Self-Duality, and the Spectral Flow
目次
Table of Contents of Volume I Invited Lectures (Part 1).- Plenary Lectures.- The Vassiliev Theory of Discriminants and Knots.- Transparent Proofs and Limits to Approximation.- Poisson Algebraic Groups and Representations of Quantum Groups at Roots of 1.- Gauge Theory and Four-Manifold Topology.- Spectral Theory and Geometry.- Pattern Theory: A Unifying Perspective.- Brownian Motion and Obstacles.- Geometric Quantization and Equivariant Cohomology.- Parallel Lectures.- The Power of Exponentiation in Arithmetic.- Subspace Arrangements.- Optimal Recovery of Functions and Integrals.- Existence globale et diffusion pour les modeles discrets de la cinetique des gaz.- Sporadic Groups and String Theory.- A Harmonic Analysis Approach to Problems in Nonlinear Partial Differential Equations.- (Some) Old and New Results on Algebraic Surfaces.- Evidence for a Cohomological Approach to Analytic Number Theory.- Cauchy-Riemann Operators, Self-Duality, and the Spectral Flow.- Index of Authors of Volumes I and II.
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v. 2 : sz ISBN 9783764327996
内容説明
Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice * J. Frohlich: Mathematical Aspects of the Quantum Hall Effect * M. Giaquinta: Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings * U. Hamenstadt: Harmonic Measures for Leafwise Elliptic Operators Along Foliations * M. Kontsevich: Feynman Diagrams and Low-Dimensional Topology * S.B. Kuksin: KAM-Theory for Partial Differential Equations * M. Laczkovich: Paradoxical Decompositions: A Survey of Recent Results * J.-F. Le Gall: A Path-Valued Markov Process and its Connections with Partial Differential Equations * I. Madsen: The Cyclotomic Trace in Algebraic K-Theory * A.S. Merkurjev: Algebraic K-Theory and Galois Cohomology * J. Nekovar: Values of L-Functions and p-Adic Cohomology * Y.A. Neretin: Mantles, Trains and Representations of Infinite Dimensional Groups * M.A. Nowak: The Evolutionary Dynamics of HIV Infections * R. Piene: On the Enumeration of Algebraic Curves - from Circles to Instantons * A. Quarteroni: Mathematical Aspects of Domain Decomposition Methods * A. Schrijver: Paths in Graphs and Curves on Surfaces * B.
Silverman: Function Estimation and Functional Data Analysis * V. Strassen: Algebra and Complexity * P. Tukia: Generalizations of Fuchsian and Kleinian Groups * C. Viterbo: Properties of Embedded Lagrange Manifolds * D. Voiculescu: Alternative Entropies in Operator Algebras * M. Wodzicki : Algebraic K-Theory and Functional Analysis * D. Zagier: Values of Zeta Functions and Their Applications
目次
Table of Contents of Volume II Invited Lectures (Part 2).- Parallel Lectures (continued).- Martingales, Arbitrage, and Portfolio Choice.- Mathematical Aspects of the Quantum Hall Effect.- Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings.- Harmonic Measures for Leafwise Elliptic Operators Along Foliations.- Feynman Diagrams and Low-Dimensional Topology.- KAM-Theory for Partial Differential Equations.- Paradoxical Decompositions: A Survey of Recent Results.- A Path-Valued Markov Process and its Connections with Partial Differential Equations.- The Cyclotomic Trace in Algebraic K-Theory.- Algebraic K-Theory and Galois Cohomology.- Values of L-Functions and p-adic Cohomology.- Mantles, Trains and Representations of Infinite Dimensional Groups.- The Evolutionary Dynamics of HIV Infections.- On the Enumeration of Algebraic Curves - from Circles to Instantons.- Mathematical Aspects of Domain Decomposition Methods.- Paths in Graphs and Curves on Surfaces.- Function Estimation and Functional Data Analysis.- Algebra and Complexity.- Generalizations of Fuchsian and Kleinian Groups.- Properties of Embedded Lagrange Manifolds.- Alternative Entropies in Operator Algebras.- Algebraic K-Theory and Functional Analysis.- Values of Zeta Functions and Their Applications.- Index of Authors of Volumes I and II.
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v. 3 : sz ISBN 9783764328009
内容説明
The first European Congress of Mathematics was held in Paris from July 6 to July 10, 1992, at the Sorbonne and Pantheon-Sorbonne universities. It was hoped that the Congress would constitute a symbol of the development of the community of European nations. More than 1,300 persons attended the Congress. The purpose of the Congress was twofold. On the one hand, there was a scientific facet which consisted of forty-nine invited mathematical lectures that were intended to establish the state of the art in the various branches of pure and applied mathematics. This scientific facet also included poster sessions where participants had the opportunity of presenting their work. Furthermore, twenty four specialized meetings were held before and after the Congress. The second facet of the Congress was more original. It consisted of sixteen round tables whose aim was to review the prospects for the interactions of mathe matics, not only with other sciences, but also with society and in particular with education, European policy and industry. In connection with this second goal, the Congress also succeeded in bringing mathematics to a broader public. In addition to the round tables specifically devoted to this question, there was a mini-festival of mathematical films and two mathematical exhibits. Moreover, a Junior Mathematical Congress was organized, in parallel with the Congress, which brought together two hundred high school students.
目次
Table of Contents of Volume III.- Round Table A: Mathematics and the General Public.- Appendix: Replies to a Questionnaire.- Round Table B: Women and Mathematics.- Round Table C: Mathematics and Educational Policy.- Mathematics in the School Curricula in Flemish Speaking Belgium.- Mathematics in the French Educational System.- The Role of Mathematics in Educational Policies in Germany.- Italy: Mathematics in Higher Education.- Mathematics and Educational Policy (United Kingdom).- Round Table D: Let's Cultivate Mathematics!.- Introductory Remarks.- Institutional Dimension in the Definition of Cultural Strategies in Mathematics.- Television Mathematics: Cultivation or Distortion?.- Mathematicians and the Need for Critical Self-Reflection.- Mathematics in its Historical Context.- Ecology of Mathematical Knowledge: An Alternative Vision of the Popularization of Mathematics.- Round Table E: Mathematical Europe, Myth or Historical Reality?.- The Creation of (the History of) Algebra.- The Perenniality of Programmes.- Mathematical Europe from Outside Europe.- At the Beginning of our World: The Nineteenth Century.- Centers and Peripheries.- Conclusions.- Round Table F: Philosophie des mathematiques: pourquoi? comment?.- Formes, operations, objets en mathematiques et en philosophic.- Le platonisme transcendantal et le probleme de l'objectivite.- Reflexions on Formalism and Reductionism in Logic and Computer Science.- Pourquoi les mathematiques sont-elles difficiles?.- Le geste bien plutot que la regle.- Discussion.- Round Table G: Mathematiques et sciences sociales.- au debat.- On the Use of Mathematics in Social Sciences: Some Remarks.- La sociologie face a la mathematisation.- Round Table H: Mathematics and Industry.- Round Table I: Degree Harmonization and Student Exchange Programmes.- Round Table J: The Pythagoras Programme A European Policy for Mathematics.- Round Table K: Collaboration with Developing Countries.- Appendix I: Contributions made by Mathematical Societies.- Appendix II: Individual Reports.- Appendix III: Centers in Collaboration.- Round Table L: Mathematical Libraries in Europe.- Financing of the Libraries.- The Situation of Libraries in Russia.- The Situation of Libraries in Poland.- The Financial Situation of Mathematical Libraries in Hungary.- Scientific Publishing and Problems of Documentation.- Documentary Inflation and the Rising Cost of Journals.- New Technologies and Computerization.- Computerization of Spanish Libraries.- The French Experience and Norms.- Appendix 1: Results of the Questionnaire.- Appendix 2: Statistical Data.- Appendix 3: Manufacturing Costs.- Appendix 4: Electronic Publishing: A Few Remarks.- Questionnaire.- Round Table M: Mathematics and Economics.- Round Table O: Mathematiques et chimie.- Mathematiques et modelisation en dynamique chimique.- Mathematiques et science des materiaux.- Knowledge Acquisition in Chemistry.- Mathematical Methods for Determining Crystal Structure.- La theorie des groupes en chimie.- Mathematiques et chimie quantique.- Mathematiques et chimie en recherche pharmaceutique.- Two Global Methods for Molecular Geometry Optimization.- Geometrie fractale et equations differentielles d'ordre non entier en chimie physique.- Round Table P: Mathematics in Medicine and Biology.- Medical Statistics: an Example from Diabetes Epidemiology.- Point Process Approach of Life Histories: Causal Chains.- Two Signal Cell Activation Explored with Simple Mathematics.- A Theory of the Functional Organization of Biological Systems Applied to Neural Networks.- Stochastic Vistas to the Analysis of Physical Mapping of the Genome.- Rhythms and Chaos in Biological Systems.- Discussion and conclusions.- Index of Authors of Volume III.
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: set : sz ISBN 9783764328016
内容説明
The first European Congress of Mathematics was held in Paris from July 6 to July 10, 1992, at the Sorbonne and Pantheon-Sorbonne universities. It was hoped that the Congress would constitute a symbol of the development of the community of European nations. More than 1,300 persons attended the Congress. The purpose of the Congress was twofold. On the one hand, there was a scientific facet which consisted of forty-nine invited mathematical lectures that were intended to establish the state of the art in the various branches of pure and applied mathematics. This scientific facet also included poster sessions where participants had the opportunity of presenting their work. Furthermore, twenty-four specialized meetings were held before and after the Congress. The second facet of the Congress was more original. It consisted of six teen round tables whose aim was to review the prospects for the interactions of mathematics, not only with other sciences, but also with society and in particular with education, European policy and industry. In connection with this second goal, the Congress also succeeded in bring ing mathematics to a broader public. In addition to the round tables specific ally devoted to this question, there was a mini-festival of mathematical films and two mathematical exhibits. Moreover, a Junior Mathematical Congress was organized, in parallel with the Congress, which brought together two hundred high school students.
目次
Table of Contents of Volume I Invited Lectures (Part 1).- Plenary Lectures.- The Vassiliev Theory of Discriminants and Knots.- Transparent Proofs and Limits to Approximation.- Poisson Algebraic Groups and Representations of Quantum Groups at Roots of 1.- Gauge Theory and Four-Manifold Topology.- Spectral Theory and Geometry.- Pattern Theory: A Unifying Perspective.- Brownian Motion and Obstacles.- Geometric Quantization and Equivariant Cohomology.- Parallel Lectures.- The Power of Exponentiation in Arithmetic.- Subspace Arrangements.- Optimal Recovery of Functions and Integrals.- Existence globale et diffusion pour les modeles discrets de la cinetique des gaz.- Sporadic Groups and String Theory.- A Harmonic Analysis Approach to Problems in Nonlinear Partial Differential Equations.- (Some) Old and New Results on Algebraic Surfaces.- Evidence for a Cohomological Approach to Analytic Number Theory.- Cauchy-Riemann Operators, Self-Duality, and the Spectral Flow.- Index of Authors of Volumes I and II.
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