Aims
The course discusses the conceptual bases and methods to study solutions of systems of algebraic equations over the field of complex numbers.
Main themes
The course is an introduction to computational algebra in the ring of polynomials in several indeterminates, with a view toward the fundamental notions of algebraic geometry.
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Prerequisites: elements of linear algebra (first cycle level).
Evaluation: oral examination. The exam includes exercises solving and summary questions on the overall course.
Support: Cox David, Little John, O'Shea Donald: Ideals, varieties and algorithms. An introduction to computational algebraic geometry and commutative algebra, Springer 1992.
Other credits in programs
MAP21
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Première année du programme conduisant au grade d'ingénieur civil en mathématiques appliquées
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(4.5 credits)
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MAP22
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Deuxième année du programme conduisant au grade d'ingénieur civil en mathématiques appliquées
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(4.5 credits)
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MATH21/G
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Première licence en sciences mathématiques (Général)
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(4.5 credits)
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Mandatory
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