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Everything about Analytic geometry
Study of geometry using a coordinate system
In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Analytic geometryA 5-minute orientation
- Skim a recent paper: Performance of Cooperative Detection in Joint Communication-Sensing Vehicular Network: A Data Analytic and Stochastic Geometry ApproachInfluential work since 2022
- Pick up a classic book: CalculusThe most-reprinted book on the subject
- Read the landmark paper: Global analytic geometryCited 5 times
- Go sideways: TangentA closely related topic
- Go sideways: Folium of DescartesA closely related topic
📖 Definitions
Noun The subbranch of geometry that investigates geometrical figures via the mathematical properties of their representations in a coordinate system.
🏆 Landmark papers (most cited)
Global analytic geometry
Analytic Geometry
Aircraft Analytic Geometry.
Analytic Geometry
Analytic Geometry.
Analytic Geometry.
Analytic Geometry.
Analytic Geometry.
🆕 Influential since 2022
Performance of Cooperative Detection in Joint Communication-Sensing Vehicular Network: A Data Analytic and Stochastic Geometry Approach
A non-Newtonian conics in multiplicative analytic geometry
Semi-analytic studies of the accretion disk and magnetic field geometry in M 87*
Geometry of spiking patterns in early visual cortex: a topological data analytic approach
On the geometry of irreversible metric-measure spaces: Convergence, stability and analytic aspects
📚 Books worth reading
CalculusHoward Anton, Howard A. Anton · 1980
CalculusJames Stewart · 1986
Calculus with analytic geometryHoward Anton, Albert Herr · 1980
CalculusSaturnino L. Salas, Einar Hille · 1971
Calculus with analytic geometryC. H. Edwards, David E. Penney · 1994
The calculus, with analytic geometryLouis Leithold, Leithold · 1967
Calculus with analytic geometryRobert Ellis, Denny Gulick · 1978
CalculusC. H. Edwards, David E. Penney · 2001
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Tangent In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at…
- Folium of Descartes In geometry, the folium of Descartes (from Latin folium 'leaf') is an algebraic curve defined by the implicit equation x3+y3−3ayx=0. It is named after…
- Algebraic curve In mathematics, an affine algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in…
- Conic section A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane. The three types of conic section are the hyperbola…
- Cartesian coordinate system In geometry, a Cartesian coordinate system (UK: /kɑːrˈtiːzjən/, US: /kɑːrˈtiːʒən/) in a plane is a coordinate system that specifies each point uniquely…
- Matrix representation of conic sections In mathematics, the matrix representation of conic sections permits the tools of linear algebra to be used in the study of conic sections. It provides…
- Parabola In mathematics, a parabola (/pəˈræbələ/ pə-RA-bə-lə) is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially…
- Hyperbola In mathematics, a hyperbola (/haɪˈpɜːrbələ/ hy-PUR-bə-lə) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations…