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Areas of Mathmatics
| Question | Answer |
|---|---|
| Topology | Topology is the area of mathematics that studies the properties of shapes and spaces that are preserved under continuous deformations, such as stretching or bending, but not tearing or gluing. |
| Differential geometry | Differential geometry is the branch of mathematics that uses calculus and linear algebra to study the geometry of curves, surfaces, and more general spaces (called manifolds), focusing on properties like curvature and smoothness. |
| Trigonometry | Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of triangles, especially right-angled triangles, using functions like sine, cosine, and tangent. |
| Linear algebra | Linear algebra is the branch of mathematics that studies vectors, vector spaces, linear transformations, and systems of linear equations using matrices and related structures. |
| Non linear algebra | |
| Group theory | Group theory is the study of algebraic structures called groups, which consist of a set of elements with an operation that combines any two elements to form a third, satisfying four properties: closure, associativity, identity, and invertibility. |
| Combinatorials | Combinatorics is the branch of mathematics concerned with counting, arranging, and analyzing discrete structures, focusing on the study of combinations, permutations, and the properties of finite sets. |
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