advanced mathematics

Geometric transformations in advanced mathematics

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Les transformations géométriques en mathématiques avancées

IN BRIEF Geometric transformations: Mechanisms for modifying figures in the plane. Main types: Translation, Rotation, Reflection, Dilation. Bijectivity: Unique association between original points and image points. Conservations: Lengths, angles, areas, and alignments preserved during transformations. Various applications: Used in various fields such as physics and computer science. Pedagogical approach: Presentation and exercises in student textbooks. … Read more

The role of functions in advanced mathematics

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Le rôle des fonctions dans les mathématiques avancées

IN BRIEF Definition of a function: Relation between two sets with a unique correspondence. Differential calculus: Allows finding the derivative of a function to analyze its slope. Mathematical analysis: Deepens the understanding of continuity and the behavior of functions. Types of graphs: Learning expression through various visual representations. Practical applications: Used in various fields such … Read more