# Mathematics

Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the science that deals with the logic of shape, quantity, and arrangement.

A discipline (an organized, formal field of study) such as mathematics tends to be defined by the types of problems it addresses, the methods it uses to address these problems, and the results it has achieved.

Branches of mathematics

## Scalar

In phyics a scalar quantity is a quantity that is…

## Non-Euclidean geometry

Non-Euclidean geometry means, in the literal sense — all geometric…

## Euclid’s postulates

A straight line segment can be drawn joining any two…

## Line segment

A line segment is defined as a portion (set of…

## Ray (half-line)

A ray, or half-line, is defined as the place of…

## Series

In mathematics, a series is the sum of the elements…

## Factorial

The factorial function of a positive integer $$n$$, is an…

In vector calculus, the curl (indicated with operator symbol $$\nabla… Learn more » ## Divergence (div) In vector calculus, divergence (div, with operator symbol \(\nabla\cdot$$) is…

In vector calculus, the gradient (grad, with operator symbol $$\nabla$$)…

## Monomial

In mathematics, a monomial is an algebraic expression consisting of…

## Trinomial

A trinomial is a polynomial consisting of three terms or…

## Binomial

In algebra, a binomial is a polynomial that is the…

## Exponentiation (power)

In Mathematics, an expression of the form $$a^n$$ is called…

## Probability distribution

A probability distribution is a mathematical function that provides the…

## Statistical inference

Statistical inference or inferential statistics is the process of using…

## Descriptive statistics

Descriptive statistics refer to methods for summarizing raw observations into…

## Probability

Probability is a mathematical language used to discuss uncertain events,…

## Scientific method

The scientific method is an investigative process for experimentation and…

## Skyrmion

A skyrmion is a topological soliton solution known to occur in a…

## Trihexagonal tiling

In geometry, the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular…

## Distance

Distance is defined to be the magnitude or size of displacement between…

## Position

In order to describe the motion of an object, you…

## Displacement

The displacement of an object is defined as the vector…

## Stochastic

The word stochastic describes something that was randomly determined. A…

## Number

A number is a primitive mathematical entity, whose concept arises…

## Scientific notation

In many disciplines of science and engineering, very large and…

## Complex number

A complex number is a number that can be expressed…

## Real number

A real number is a value of a continuous quantity…

## Rational number

A rational number is a number that can be expressed…

## Integer

The negative of a positive integer is defined as a…

## Whole number

Including zero with the counting numbers gives a new set…

## Natural number (counting number)

The most basic numbers used in algebra are those we…

## Coordinate system

A coordinate system is a system that uses one or…

## Inequality

Inequality is like an equation where two values are not…

## Inequation

An inequation represents a statement that inequality holds between two…

## Fraction

A fraction is written $$\dfrac{a}{b}$$, where $$a$$ and $$b$$ are…

## Cartesian coordinate system

The term “cartesian coordinates” (also called rectangular coordinates) is used…

## Polar coordinate system

The polar coordinate system is a two-dimensional coordinate system in…

## Area

The term area is used also in a more general…

## Absolute

Absolute means not limited by exceptions or conditions. What does…

## Absolute error

The absolute error is generally defined as the difference between…

## Volume

Volume is the measure of space occupied by a three-dimensional…

## Uncertainty

In metrology, the estimation of the dispersion of the values…

## Focus

In geometrical optics, is called focus (or image point) the…

## Mathematics

Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the…

## Algebra

Algebra is a branch of mathematics that, together with number…

## Algebraic geometry

Traditionally, algebraic geometry was the geometry of complex number solutions…

## Function

In mathematics, a function is a way of expressing the…

## Geometry

Geometry (from the Ancient Greek: γεωμετρία; geo- “earth”, -metron “measurement“)…

## Axiom

Euclid took an abstract approach to geometry in his Elements,…

## Point

Points are considered fundamental objects in Euclidean geometry. They have…

## Line

The line is one of the primitive entities of geometry…

## Geodesic

In differential geometry, a geodesic is a generalization of the…

## Plane

A plane is a flat, two-dimensional surface that extends infinitely…

## Angle

Euclid defines a plane angle as the inclination to each…

## Curve

A curve is a 1-dimensional object that may be straight…

## Surface

A surface is a two-dimensional object, such as a sphere…

## Manifold

A manifold is a generalization of the concepts of curve…

## Dimension

Where the traditional geometry allowed dimensions 1 (a line), 2…

## Space (geometry)

Space is a logical conceptual form (or structure) serving as…

## Symmetry

In mathematics symmetry is defined as an involutory orthogonal transformation…

## Odd number

Ah odd number is an integer that is not divisible…

## Even number

An even number is an integer divisible (without remainder) by 2.…

## Topology

A topology is a mathematical structure on a set that…

## Euclidean geometry

Euclidean geometry is the geometry of space described by the…

## Algorithm

An algorithm is a set of detailed instructions defining a…

## Accumulation point

The accumulation point of a set $$A$$ is a point…

## Operator

A mathematical operator is a mathematical relationship between at least…

## Operation

In mathematics an operation (arithmetic) is defined as a relationship…

The addition (represented by the mathematical symbol of the plus,…

## Algebraic sum

The algebraic sum is defined as the operation of addition…

## Subtraction

Subtraction (represented by the mathematical symbol of the minus, “$$-$$”)…

## Multiplication

The multiplication (represented by the mathematical symbol “$$\times$$” or “$$\cdot$$”)…