CZ:Mathematics Workgroup/List of mathematical topics
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If you are looking for suggestions of articles to write, below you'll find some lists of mathematical topics from Wikipedia. This does not imply any particular priority. These lists are meant to be neither very systematic nor exhaustive. It is possible, however, that the articles listed below would be of some interest for potential readers.
Calculus topics
Note:' the ordering of topics in sections is a suggestion to students.
Before calculus (precalculus)
- Graph of a function
- Linear function
- Secant
- Slope
- Tangent
- Concavity
- Finite difference
- Radian
- Factorial
- Binomial theorem
- Free variables and bound variables
Limits
- Limit of a sequence
- Upper limit, Lower limit
- Limit of a function
- Indeterminate form
- Orders of approximation
- Trigonometric rational function
Differential calculus
- Derivative
- Notations
- Simplest rules
- Derivative (examples)
- Chain rule
- Product rule
- Quotient rule
- Inverse functions and differentiation
- Implicit differentiation
- Stationary point
- Differential equation
- Differential operator
- Newton's method
- Taylor's theorem
- L'Hopital's rule
- Leibniz's rule
- Mean value theorem
- Logarithmic derivative
- Differential (calculus)
- Related rates
Integral calculus
- Antiderivative, Indefinite integral
- Simplest rules
- Arbitrary constant of integration
- Fundamental theorem of calculus
- Integration by parts
- Inverse chain rule method
- Substitution rule
- Differentiation under the integral sign
- Trigonometric substitution
- Partial fractions in integration
- A simple proof that 22/7 exceeds pi|A simple proof that 22/7 exceeds π
- Trapezium rule
Special functions and numbers
- Natural logarithm
- E (mathematical constant)
- Exponential function
- Stirling's approximation
- Bernoulli numbers
Numerical integration
See also list of numerical analysis topics
Lists and tables
- Table of common limits
- Table of derivatives
- Table of integrals
- Table of mathematical symbols
- List of integrals
- List of integrals of rational functions
- List of integrals of irrational functions
- List of integrals of trigonometric functions
- List of integrals of hyperbolic functions
- List of integrals of exponential functions
- List of integrals of logarithmic functions
- List of integrals of arc functions
- List of integrals of area functions
Multivariable
- Partial derivative
- Disk integration
- Shell integration
- Gabriel's horn
- Jacobian matrix
- Hessian matrix
- Curvature
- Green's theorem
- Divergence theorem
- Stokes' theorem
Series
History
- Infinitesimal
- Gottfried Leibniz
- Isaac Newton
- Method of Fluxions
- Infinitesimal calculus
- Brook Taylor
- Colin Maclaurin
- Leonhard Euler
Nonstandard calculus
For further developments: see list of real analysis topics, list of complex analysis topics, list of multivariable calculus topics.
Geometry topics
- Geometric shape covers standard terms for plane shapes
- List of mathematical shapes covers all dimensions
- List of differential geometry topics
- List of geometers
- See also list of curves, list of curve topics.
Euclidean geometry, foundations
- Hilbert's axioms
- Point (geometry)
- Locus (mathematics)
- Line
- Parallel (geometry)
- Angle
- Congruence
- Similarity (mathematics)
- Shear
Euclidean plane geometry
- 2D computer graphics
- 2D geometric model
- Altitude (triangle)
- Brahmagupta's formula
- Compass and straightedge constructions
- Complex geometry
- Conic section
- Coordinate notation
- Curve of constant width
- Cyclic quadrilateral
- Euler's line
- Equilateral triangle
- Frieze group
- Golden angle
- Heron's formula
- Holditch's theorem
- Interactive geometry software
- Pappus's theorem
- Parallel postulate
- Pedal triangle
- Polygon
- Pons asinorum
- Pythagorean triangle
- Sangaku
- Straightedge
- Symmedian
- Tiling
- Trapezoid, trapezium
- Triangle
- Trigonometry
- Wallpaper group
3-dimensional Euclidean geometry (solid geometry)
- 3D projection
- 3D computer graphics
- Borromean rings
- Cross section
- Crystal
- Cuisenaire rods
- Desargues' theorem
- Right circular cone
- Hyperboloid
- Paraboloid
- Polyhedron
- 3-sphere, spheroid, ellipsoid
- Soddy's hexlet
- Sphericon
- Stereographic projection
- Stereometry
n-dimensional Euclidean geometry
- Ball
- Convex
- Coxeter group
- Euclidean distance
- Hyperplane
- Lattice
- Packing and covering
- Parallelogram law
- Polytope
- Sphere
- Quadric
- Torus
- Root system
- Similarity (mathematics)
- Zonotope
Non-Euclidean geometry
- Projective geometry
- Desargues' theorem
- Girard Desargues
- Desarguesian plane
- Line at infinity
- Point at infinity
- Plane at infinity
- Hyperplane at infinity
- Projective line
- Projective plane
- Projective space
- Complex projective line
- Complex projective plane
- Fundamental theorem of projective geometry
- Projective transformation
- Cross-ratio
- Duality (projective geometry)
- Homogeneous coordinates
- Pappus's hexagon theorem
- Incidence (geometry)
- Pascal's theorem
- Affine geometry
- Finite geometry
- Differential geometry
- Non-Euclidean plane geometry
- Angle excess
- Hyperbolic geometry
- Elliptic geometry
- Minkowski space
- Thurston's conjecture
Numerical geometry
Geometric algorithms
- Convex hull construction
- Point in polygon
- Point location
- Hidden line removal