Mathematics and the 21st century : proceedings of the international conference, Cairo, Egypt, 15-20 January 2000 / editors A.A. Ashour, A.-S.F. Obada.

Format:

Book

Conference/Event

Contributor:

Ashour, A. A.

Obada, A. -S. F.

Conference Name:

International Conference on Mathematics and the 21st century (2000 : Cairo, Egypt)

Language:

English

Subjects (All):

Mathematics--Congresses.

Mathematics.

Mathematics--History--Congresses.

Physical Description:

1 online resource (412 p.)

Edition:

1st ed.

Other Title:

Proceedings of the international conference mathematics and the 21st century

Mathematics and the Twenty-first century

Place of Publication:

Singapore ; River Edge, NJ : World Scientific, c2001.

Language Note:

English

Summary:

Contents: Millennium Lecture - Cairo, 15 January 2000 (M Atiyah); Trends for Science and Mathematics in the 21st Century (P A Griffiths); Arabic Mathematics and Rewriting the History of Mathematics (R Rashed); The Paradigm Shift in Mathematics Education: A Scenario for Change (W Ebeid); Einstein's Theory of Spacetime and Gravity (J Ehlers); Moduli Problems in Geometry (M S Narasimhan); Enumerative Geometry from the Greeks to Strings (C Procesi); Optical Solitons: Twenty-Seven Years of the Last Millennium and Three More Years of the New? (R K Bullough); Concepts of Non-Smooth Dynamical Systems

Contents:

Organizing Committee; Preface; Contents; Millennium Lecture - Cairo 15 January 2000; 1000 YEARS OF MATHEMATICS; Trends for Science and Mathematics in the 21st Century; Trend 1: From the Linear Model to the Dynamic Model of Research; Trend 2: From Theory + Experiment to Theory + Experiment + Computation; Trend 3: From Disciplinary to Interdisciplinary Research; Trend 4: Complementing Reductionism with the Study of Complex Systems; Trend 5: Globalization and the Diffusion of Knowledge; Conclusion; Arabic Mathematics and Rewriting the History of Mathematics; Rational Diophantine analysis

Integer Diophantine AnalysisThe Tradition continues; Numerical analysis and interpolation methods; The Paradigm Shift in Mathematics Education: A Scenario for Change; A Half Century of Swirl Progress:; 1. A Chinese Perspective (Er-Sheng 1998); II. A view From South Africa: Out-Comes Based Education (OBE) (Volmik 1998); III. U.S.A. Standards 2000 (NCTM 1998); IV. The Swedish ""ADM""-Project (Bjork and Brolin 1998).; V. An Australian Curriculum and Standards Framework (CSF). (Board of studies 1995).; A Scenario For Change In Mathematics Education (Case study: Egypt).; REFERENCES

Einstein's Theory of Spacetime and GravityINTRODUCTION; I. FOUNDATION; II. SOME DEVELOPMENTS RESULTS AND PROBLEMS; REFERENCES; Moduli Problems in Geometry; I. Moduli of compact Riemann Surfaces; II. Moduli of vector bundles on a compact Riemann surfaces; III. Gauge Theory; IV. Construction of moduli spaces; V. Study of moduli spaces; IV. Difference Geometric Interpretation of Stability; Enumerative Geometry from the Greeks to Strings; 1. The beginning; 2. The 3264 conics of Chasles; 3. Schubert Calculus; 4. Hilbert's 15th Problem; 5. Cohomology; 6. Homogeneous spaces; 7. Spherical varieties

8. Strings and Moduli spaces9. Quantum cohomology; 10. Equivariant Theories; Optical Solitons: Twenty-Seven Years of the Last Millennium and Three More Years of the New?; 1. INTRODUCTION: A NEW TECHNOLOGY AND A SHORT SURVEY OF SOLITON THEORY AND ITS MATHEMATICS; 2. MAXWELL-BLOCH HIERARCHY OF EQUATIONS AND THE SOLITONS OF SELF-INDUCED TRANSPARENCY (SIT); 3. COMPLETE HAMILTONIAN INTEGRABILITY OF THE SOLITON SYSTEMS; 4. BOSE-EINSTEIN CONDENSATION (BEC); 5. QUANTUM INFORMATION; 6. FINAL COMMENTS AND CONCLUSIONS; REFERENCES; Concepts for Non-smooth Dynamical Systems; 1 Introduction

2 The general resulting of non-smooth systems3 Lyapunov exponents; References; Radical Theory: Developments and Trends; 1. Introduction; 2. Structure theorems; 3. Closure operations on classes of rings; 4. Ring constructions; 5. Radical theory in other categories; 6. Cardinality condition; References; On Minimal Subgroups of Finite Groups; Introduction and results; References; Totally and Mutually Permutable Products of Finite Groups; 1 Introduction; 2 Totally permutable products; 3 Mutually permutable products; References; Asymptotic Behaviour of Solutions of Evolution Equations; REFERENCES

On Nonlinear Evolution Equations with Applications

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611951757

9781281951755

1281951757

9789812810243

9812810242

OCLC:

879024757