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Algebraic Geometry is the study of Geometry using simple algebraic equations. For example, some questions look a bit like this:
You have a rectangle. It's area is 56cm squared.
If it's length is 2x+2, and its breadth is x, solve for x.
You would do 56-2=54/3=18, so x would be equal to 18.
Algebraic geometry, also known as analytical geometry, is the mathematical branch which uses a system of coordinates. These are usually based on mutually orthogonal axes (perpendicular to each other) and can be in spaces with 2, 3 or more dimensions.
It is a mathematical technique whereby lines and curves are described using algebra so that algebraic tools can be used to solve problems in geometry and conversely.
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How can algebraic concepts be applied to geometry?
Coordinate geometry (or analytical geometry) allows the algebraic representation of geometric shapes. This then allows algebraic concepts to be applied to geometry.
When was Algebraic Geometry - book - created?
Algebraic Geometry - book - was created in 1977.
What are the Applications of analytical geometry in engineering field?
Analytical geometry is used widely in engineering. It set the foundation for algebraic, differential, discrete, and computational geometry. It is the study of geometry using a coordinate system.
What did Karen smith the mathematician do for math?
Karen Smith works in algebra and algebraic geometry. Some of her main contributions involve finding purely algebraic ways to understand geometric objects, such as singularities in algebraic geometry. This is significant because, for example, even a computer can manipulate algebraic equations but it can not understand a drawing as well. I can answer more if you describe how much mathematics you have taken.
How many types of geometry do mathematicians study?
Mathematicians study various types of geometry, but the most common ones include Euclidean geometry, which studies flat, two-dimensional space, and three-dimensional space; and non-Euclidean geometry, which explores curved spaces such as spherical and hyperbolic geometries. Differential geometry is another branch that focuses on the study of curves and surfaces using calculus techniques, while algebraic geometry investigates geometric objects defined by algebraic equations. Finally, fractal geometry delves into the study of intricate, self-repeating geometric patterns.
How can algebraic concepts be applied to geometry?
Coordinate geometry (or analytical geometry) allows the algebraic representation of geometric shapes. This then allows algebraic concepts to be applied to geometry.
What is an algebraic geometer?
An algebraic geometer is a mathematician who specializes in algebraic geometry.
What has the author Kendig written?
Kendig has written: 'Elementary algebraic geometry' -- subject(s): Algebraic Geometry, Commutative algebra, Geometry, Algebraic
When was Algebraic Geometry - book - created?
Algebraic Geometry - book - was created in 1977.
What has the author W E Jenner written?
W. E. Jenner has written: 'Rudiments of algebraic geometry' -- subject(s): Algebraic Geometry, Geometry, Algebraic
What has the author William Elliott Jenner written?
William Elliott Jenner has written: 'Rudiments of algebraic geometry' -- subject(s): Algebraic Geometry, Geometry, Algebraic
What has the author Annette Klute written?
Annette Klute has written: 'Real algebraic geometry and the Pierce-Birkhoff conjecture' -- subject(s): Algebraic Geometry, Geometry, Algebraic
What has the author Daniel Huybrechts written?
Daniel Huybrechts has written: 'Fourier-Mukai Transforms in Algebraic Geometry (Oxford Mathematical Monographs)' 'The geometry of moduli spaces of sheaves' -- subject(s): Sheaf theory, Moduli theory, Algebraic Surfaces 'The geometry of moduli spaces of sheaves' -- subject(s): Algebraic Surfaces, Moduli theory, Sheaf theory, Surfaces, Algebraic 'Fourier-Mukai transforms in algebraic geometry' -- subject(s): Algebraic Geometry, Fourier transformations, Geometry, Algebraic
What has the author Otto Haupt written?
Otto Haupt has written: 'Geometrische Ordnungen' -- subject(s): Algebraic Geometry, Differential Geometry, Geometry, Algebraic, Geometry, Differential
What is an geometer?
An algebraic geometer is a mathematician who specializes in algebraic geometry.
What has the author Teruhisa Matsusaka written?
Teruhisa Matsusaka has written: 'Theory of Q-varieties' -- subject(s): Algebraic Geometry, Algebraic varieties, Geometry, Algebraic, Surfaces
What has the author Christopher G Gibson written?
Christopher G. Gibson has written: 'Elementary Euclidean geometry' -- subject(s): Geometry 'Elementary geometry of algebraic curves' -- subject(s): Algebraic Curves, Curves, Algebraic
