4 definitions by Dracco123
by Dracco123 June 26, 2017
The branch of mathematics concerned with the manipulation of mathematical operations, variables, sets, groups, and fields. There are two main branches of algebra.
Elementary algebra is all about functions, combinatorics, and certain calculus concepts. The quadratic formula, the Binomial Theorem, and limits are all found here.
Abstract algebra has a lot to do with groups and set manipulation. Linear algebra, the study of vectors, can be found here as well.
Elementary algebra is all about functions, combinatorics, and certain calculus concepts. The quadratic formula, the Binomial Theorem, and limits are all found here.
Abstract algebra has a lot to do with groups and set manipulation. Linear algebra, the study of vectors, can be found here as well.
The Abel-Ruffini Theorem states that there is no general formula to find the roots of a polynomial equation of degree 5 (quintic) or higher. This is an elementary algebra statement, but is proved using Galois Theory.
by Dracco123 July 23, 2019
The branch of mathematics concerned with the manipulation of mathematical operations, variables, sets, groups, and fields. There are two main branches of algebra.
Elementary algebra is all about functions, combinatorics, and certain calculus concepts. The quadratic formula, the Binomial Theorem, and limits are all found here.
Abstract algebra has a lot to do with groups and set manipulation. Linear algebra, the study of vectors, can be found here as well.
Elementary algebra is all about functions, combinatorics, and certain calculus concepts. The quadratic formula, the Binomial Theorem, and limits are all found here.
Abstract algebra has a lot to do with groups and set manipulation. Linear algebra, the study of vectors, can be found here as well.
The Abel-Ruffini Theorem states that there is no general formula to find the roots of a polynomial equation of degree 5 (quintic) or higher. This is an elementary algebra statement, but is proved using Galois Theory.
by Dracco123 July 23, 2019
The branch of mathematics concerned with properties of spatial measurements . This includes distance, shape, size, and even theoretical dimensional spaces higher than 3D. A mathematician who specializes in geometry is known as a geometer.
Euclidean geometry, the study of flat surfaces and spatial measurements surrounding them, began in Ancient Greece with the likes of Pythagoras, Archimedes, and Euclid. Euclid developed five basic postulates, the fifth being the famed "Parallel Postulate".
The parallel postulate is not provable as a theorem. This led to a lot of geometry branches that ignore the postulate entirely. The most famous of these non-Euclidean geometries is hyperbolic geometry.
There are other branches of geometry that are still in their infancy. One of these is fractal geometry, the branch of geometry concerned with fractals, shapes whose Hausdorff dimension is much greater than their topological dimension.
As you can see, geometry is an extremely broad branch of mathematics, with many different branches.
Euclidean geometry, the study of flat surfaces and spatial measurements surrounding them, began in Ancient Greece with the likes of Pythagoras, Archimedes, and Euclid. Euclid developed five basic postulates, the fifth being the famed "Parallel Postulate".
The parallel postulate is not provable as a theorem. This led to a lot of geometry branches that ignore the postulate entirely. The most famous of these non-Euclidean geometries is hyperbolic geometry.
There are other branches of geometry that are still in their infancy. One of these is fractal geometry, the branch of geometry concerned with fractals, shapes whose Hausdorff dimension is much greater than their topological dimension.
As you can see, geometry is an extremely broad branch of mathematics, with many different branches.
Ptolemy's Theorem details a very important relationship between diagonals and opposite sides of a cyclic quadrilateral in Euclidean geometry.
by Dracco123 June 28, 2019