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1. Algebraic geometry: Classical algebraic geometry is the study of geometric properties of the objects defined by algebraic equations. For example, a parabola, such as all solutions ( x , y ) {\displaystyle (x,y)} of the equation y − x 2 = 0 {\displaystyle y-x^{2 ... [100%] 2023-06-17
2. Algebraic geometry: The branch of mathematics dealing with geometric objects connected with commutative rings: algebraic varieties (cf. Algebraic variety) and their various generalizations (schemes, algebraic spaces, etc., cf. (Mathematics) [100%] 2023-09-08
3. Algebraic geometry: Algebraic geometry is a branch of mathematics which classically studies zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros. (Branch of mathematics) [100%] 2023-09-06 [Algebraic geometry] [Fields of mathematics]...
4. Foundations of Algebraic Geometry: Foundations of Algebraic Geometry is a book by André Weil (1946, 1962) that develops algebraic geometry over fields of any characteristic. In particular it gives a careful treatment of intersection theory by defining the local intersection multiplicity of two subvarieties. (Organization) [85%] 2023-09-08 [Algebraic geometry] [Mathematics books]...
5. Glossary of algebraic geometry: This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory. (none) [85%] 2024-05-27 [Glossaries of mathematics] [Algebraic geometry]...
6. Foundations of Algebraic Geometry: Foundations of Algebraic Geometry is a book by André Weil (1946, 1962) that develops algebraic geometry over fields of any characteristic. In particular it gives a careful treatment of intersection theory by defining the local intersection multiplicity of two subvarieties. [85%] 2024-05-28 [1946 non-fiction books] [Algebraic geometry]...
7. Algebraic algebra: An algebra with associative powers (in particular, an associative algebra) over a field in which all elements are algebraic: an element $a$ of the algebra $A$ is called algebraic over the field $F$ if the subalgebra $F$ generated by $a ... (Mathematics) [82%] 2023-10-13
8. Numerical algebraic geometry: Numerical algebraic geometry is a field of computational mathematics, particularly computational algebraic geometry, which uses methods from numerical analysis to study and manipulate the solutions of systems of polynomial equations. The primary computational method used in numerical algebraic geometry is ... [81%] 2024-01-09 [Algebraic geometry] [Computational geometry]...
9. Real algebraic geometry: In mathematics, real algebraic geometry is the sub-branch of algebraic geometry studying real algebraic sets, i.e. real-number solutions to algebraic equations with real-number coefficients, and mappings between them (in particular real polynomial mappings). [81%] 2023-12-18 [Real algebraic geometry]
10. Noncommutative algebraic geometry: Noncommutative algebraic geometry is a branch of mathematics, and more specifically a direction in noncommutative geometry, that studies the geometric properties of formal duals of non-commutative algebraic objects such as rings as well as geometric objects derived from them ... [81%] 2023-09-06 [Algebraic geometry] [Noncommutative geometry]...
11. Differential algebraic geometry: Differential algebraic geometry is an area of differential algebra that adapts concepts and methods from algebraic geometry and applies them to systems of differential equations, especially algebraic differential equations. Another way of generalizing ideas from algebraic geometry is diffiety theory. [81%] 2023-12-04 [Differential algebra]
12. Numerical algebraic geometry: Numerical algebraic geometry is a field of computational mathematics, particularly computational algebraic geometry, which uses methods from numerical analysis to study and manipulate the solutions of systems of polynomial equations. The primary computational method used in numerical algebraic geometry is ... [81%] 2024-04-05 [Algebraic geometry] [Computational geometry]...
13. Abstract algebraic geometry: The branch of algebraic geometry dealing with the general properties of algebraic varieties (cf. Algebraic variety) over arbitrary fields and with schemes (cf. (Mathematics) [81%] 2024-07-24
14. Algebraic geometry and analytic geometry: In mathematics, algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry deals with complex manifolds and the more general analytic spaces defined locally by the vanishing of analytic functions of several ... (Two closely related mathematical subjects) [76%] 2023-08-23 [Algebraic geometry] [Analytic geometry]...
15. Glossary of classical algebraic geometry: The terminology of algebraic geometry changed drastically during the twentieth century, with the introduction of the general methods, initiated by David Hilbert and the Italian school of algebraic geometry in the beginning of the century, and later formalized by André Weil ... (none) [76%] 2023-09-09 [Algebraic geometry] [History of geometry]...
16. Glossary of classical algebraic geometry: The terminology of algebraic geometry changed drastically during the twentieth century, with the introduction of the general methods, initiated by David Hilbert and the Italian school of algebraic geometry in the beginning of the century, and later formalized by André Weil ... (none) [76%] 2023-09-08 [Algebraic geometry] [Glossaries of mathematics]...
17. List of algebraic geometry topics: This is a list of algebraic geometry topics, by Wikipedia page. (Wikipedia list article) [76%] 2023-09-08 [Mathematics-related lists] [Algebraic geometry]...
18. Geometric algebra: In mathematics, a geometric algebra (also known as a real Clifford algebra) is an extension of elementary algebra to work with geometrical objects such as vectors. Geometric algebra is built out of two fundamental operations, addition and the geometric product. (Algebraic structure designed for geometry) [73%] 2023-09-04 [Geometric algebra]
19. Geometric algebra: In mathematics, a geometric algebra (also known as a real Clifford algebra) is an extension of elementary algebra to work with geometrical objects such as vectors. Geometric algebra is built out of two fundamental operations, addition and the geometric product. (Algebraic structure designed for geometry) [73%] 2023-09-08 [Geometric algebra]
20. Geometry: Hello, and welcome to Wikiversity's online geometry course! A course in plane and solid geometry will investigate the basic concepts of Euclidean geometry. [73%] 2024-01-21 [Geometry] [Mathematics courses]...