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Система компьютерной алгебры GAP

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За последние 60 дней ни разу не выходила


Сайт рассылки: http://www.gap-system.org/ukrgap/
Открыта: 05-02-2002

Автор
Александр Борисович Коновалов

Статистика

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Система компьютерной алгебры GAP - Computational Algebra at the NUI, Galway


Добрый день!

Высылаю информацию о передовом опыте в преподавании компьютерной алгебры.

С уважением,

Коновалов А.Б. 

 

National University of Ireland, Galway

Mathematics Master's Programme in Applied Computational Algebra

The School of Mathematics, Statistics and Applied Mathematics is offering
a one-year master's programme in Applied Computational Algebra, starting
September 2008. It is designed for students with a BA or BSc in
Mathematics (or a closely related field) who want to pursue advanced
topics in discrete mathematics underlying modern computer algebra systems
and applications. The programme will give a solid foundation for research
in computational aspects of Mathematics, Biosciences and Engineering. This
master's programme is one of the activities of the de Brun Centre for
Computational Algebra which has just been established at NUI Galway with
support from Science Foundation Ireland. Other activities of the Centre in
2008-2009 include three graduate level workshops with courses by Gunnar
Carlsson (Stanford), Gerhard Hiss (Aachen), John McKay (Concordia), Mike
Stillman (Cornell), Bernd Sturmfels (Berkeley) and others.

Master's students will be expected to attend a number of these courses. In
2009 NUI Galway will also host the British Mathematics Colloquium where
computational algebra is a designated theme. Course description
Computational algebra is an area of symbolic computation concerned with
the design, analysis and practical implementation of algorithms for
investigating mathematical problems endowed with rich algebraic structure.
Algorithms in computational algebra manipulate mathematical expressions in
symbolic form, as opposed to manipulating the approximations of specific
numerical quantities represented by those symbols. Computational algebra
is increasingly being used as a tool to tackle problems in engineering,
molecular biology, statistics and mathematics itself. In Semester I
students will take eight 12-lecture courses:
  • Introduction to computational commutative algebra (+ CoCoA labs).
  • Introduction to computational number theory (+ PARI/GP labs).
  • Introduction to computational geometry (+ Polymake labs).
  • Introduction to computational group theory (+ GAP labs).
  • Algebraic statistics for computational biology.
  • Topological Data Analysis.
  • Formal theory of differential equations.
  • Computational molecular biology.
Students will sit a qualifying examination at the end of Semester I, and
those who perform satisfactorily will prepare a research thesis for
submission in August 2009. (There is also the possibility for students to
apply to have their thesis converted into a 3-year PhD thesis.) Funding
opportunities The de Brun Centre has SFI funding for a limited number of
students (though preference will be given to those aiming for a PhD
thesis). Students can also apply to the IRCSET postgraduate research
scheme (2008 second call).

For further details contact: Graham Ellis
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