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Mathematics & mathematics education [electronic resource]

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This volume covers a wide range of areas in mathematics and mathematics education. There is emphasis on applied mathematics, including partial differential equations, dynamical systems, and difference equations. Other areas represented include algebra and number theory, statistics, and issues in mathematics education. The proceedings have been selected for coverage in:. Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). Contents: The Com and Cotensor Functors for Coalgebras Over Rings (K Al-Takhman); GRP Schemes for Time-Dependent 2-D and Quasi 1-D Flows (M B

Title Mathematics & mathematics education [electronic resource] : proceedings of the third International Palestinian Conference : Bethlehem, August 9-12, 2000 / editors, S. Elaydi ... [et al.].
Publisher River Edge, N.J. : World Scientific
Creation Date c2002
Notes "The third Palestinian International Conference on Mathematics and Mathematics Education"--Pref.
Includes bibliographical references.
English
Content Preface
CONTENTS
On the Boundedness of xn+k=C+ Zk-1 i=0 (bi|xn+i|+aixn+i)
Abstract
1 Introduction
2 Equilibrium Solutions and Oscilation
3 Asymptotic Behavior of Bounded Solutions
4 Necessary and Sufficient Conditions for Boundedness
5 Final Remark
References
On the Integrability of ""Generalized"" Demand Functions
2 Setting up the Problem
3 A first set of necessary conditions
4 Mathematical integration
5 Economic Integration
6 The duality problem
The Com and Cotensor Functors for Coalgebras over Rings
2 Notations and Preliminaries3 The Cotensor Functor
4 The Com-Functor
5 Relative injective comodules
Pseudo-Valuation Domains: A Survey
1. INTRODUCTION
2. PSEUDO-VALUATION DOMAINS
3. OVERRINGS THAT ARE PSEUDO-VALUATION DOMAINS
4. ATOMIC PSEUDO-VALUATION DOMAINS
5. RELATED RESULTS
REFERENCES
GRP Schemes for Time-Dependent 2-D and Quasi 1-D Flows
ABSTRACT
2. OUTLINE OF THE GRP METHOD
3. THE GRP METHOD FOR TWO-DIMENSIONAL FLOW
4. REFERENCES
Approximating Fixed Points of Lipschitzian Generalized Pseudo-Contractions
1. Introduction
2. Lipschitzian operators are generalized pseudo-contractions3. The fastest iteration
4. Numerical examples
Univalent Harmonic Mappings with Blaschke Dilatations
2. The generalized Riemann mapping theorem
3. Univalent mappings with finite Blaschke dilations onto bounded domains
4. Univalent harmonic mappings with Blaschke dilatations onto the exterior of a bounded domain
5. Univalent harmonic mappings with Blaschke dilatations of periodic type
References.
Finite Dimensional Dynamics on Attractors
2 Dynamics on the Attractors of Parabolic Partial Differential Equations3 Dynamics on the Attractors of Hyperbolic Partial Differential Equations
4 Appendix
4.1 References
The Mathematics of Informational Asymmetry
2 Incentive-compatible contracts
3 u-convex analysis
4 The reallocation principle
5 Optimization under incentive constraints
Recent Progress in the Theory of Generalized Closed Sets
1 Introduction and Preliminaries
2 Results
3 Lower Separation Axioms
4 Gp - closed Sets
5 Sg - compact Spaces
6 Concluding Remark
Misconceptions in MathematicsAbstract
Introduction
Objectives
Hypothesis
Procedure and findings
Results
Recommendations.
On the Category-Theoretic Approach to Differential Geometry
1 Why Cartesian Closed Categories and Infinitesimal Quantities?
2 Calculus in a Cartesian Closed Category of Smooth Objects
3 A Sketch of the Construction of Models
Twenty-One Characterizations of Genus Zero
1 Basic properties of coh(C)
2 The characterization
3 Algebraically closed base field
4 Comments
Some Recent Developments on the Hydrodynamic Limit of the Boltzmann Equation
Extent 1 online resource (358 p.)
Language English
National Library system number 997010712280505171
MARC RECORDS

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