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Meetings of the St. Petersburg Mathematical Society
October 31, 2000, St. Petersburg
 

Joint meeting of the St. Petersburg Mathematical Society and the Section of the House of Scientists


Computer technologies for teaching mathematics (explanations and demonstrations)


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Abstract: 1. A. I. Kirillov (Moscow). Symbolic mathematical systems and their role in mathematical education of engineers.
2. A. B. Pirozhnikov, S. Yu. Slavyanov. SFTools — a knowledge based and educational system on special functions.
An information system on special functions SFTools functioning as an independent Knowledge Based dialogue system as well as in the other modification as an educational client-server system is exposed. The mathematical contents of SFTools is based on the book Unified theory of special functions by S. Yu. Slavyanov and W. Lay being in print in Oxford University Press. The whole project is led by S. Yu. Slavyanov. After printing the book SFtools can be ordered as a CD-ROM disk.
The following special functions are presented in the system:
1) hypergeometric-type functions, 2) Heun functions, 3) Painleve transcendents, 4) orthogonal polynomials.
For these functions basic differential equations with emphasize to singularities, integral relations, series expansions, Riemann's P-symbols and other important characteristics are given. Output in TEX format is available. The numerical values of functions can be computed by Jaffe-Lay algorithm.
Information of the representative of the Scientific-Publishing Center “Regular and Chaotic Dynamics” on their editorial plans.
 
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