70 relations: Algebra, Arithmetic, Arithmetic progression, Aryabhata, Aryabhatiya, Cabtaxi number, Chinese mathematics, Codomain, Complex number, Cube, Cube root, Cubic function, Cyclic group, Derivative, Digital root, Diophantus, Doubling the cube, Eisenstein integer, Euler's sum of powers conjecture, Even and odd functions, Exponentiation, Expression (mathematics), Factorization of polynomials, Field (mathematics), Fifth power (algebra), Finite field, First Babylonian dynasty, Fourth power, Graph of a function, Greek mathematics, Group isomorphism, Hero of Alexandria, History of mathematics, If and only if, Imaginary number, Imaginary unit, India, Inequality (mathematics), Integer, Inverse function, Liu Hui, Modular arithmetic, Monkey saddle, Monotonic function, Multiplicative group, Ordered ring, Oxford University Press, Parity (mathematics), Pell's equation, Perfect number, ..., Perfect power, Plato's number, Point reflection, Power of two, Rational number, Real line, Real number, Rotational symmetry, Rubik's Cube, Similarity (geometry), Solid geometry, Square (algebra), Square number, Subscript and superscript, Surjective function, Taxicab number, The Nine Chapters on the Mathematical Art, Triangular number, Volume, 3. Expand index (20 more) » « Shrink index
Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.
Arithmetic (from the Greek ἀριθμός arithmos, "number") is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication and division.
In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Aryabhata (IAST) or Aryabhata I (476–550 CE) was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy.
Aryabhatiya (IAST) or Aryabhatiyam, a Sanskrit astronomical treatise, is the magnum opus and only known surviving work of the 5th century Indian mathematician Aryabhata.
In mathematics, the n-th cabtaxi number, typically denoted Cabtaxi(n), is defined as the smallest positive integer that can be written as the sum of two positive or negative or 0 cubes in n ways.
Mathematics in China emerged independently by the 11th century BC.
In mathematics, the codomain or target set of a function is the set into which all of the output of the function is constrained to fall.
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
In mathematics, a cube root of a number x is a number y such that y3.
In algebra, a cubic function is a function of the form in which is nonzero.
In algebra, a cyclic group or monogenous group is a group that is generated by a single element.
The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
The digital root (also repeated digital sum) of a non-negative integer is the (single digit) value obtained by an iterative process of summing digits, on each iteration using the result from the previous iteration to compute a digit sum.
Diophantus of Alexandria (Διόφαντος ὁ Ἀλεξανδρεύς; born probably sometime between AD 201 and 215; died around 84 years old, probably sometime between AD 285 and 299) was an Alexandrian Hellenistic mathematician, who was the author of a series of books called Arithmetica, many of which are now lost.
Doubling the cube, also known as the Delian problem, is an ancient geometric problem.
In mathematics, Eisenstein integers (named after Gotthold Eisenstein), occasionally also known as Eulerian integers (after Leonhard Euler), are complex numbers of the form where and are integers and is a primitive (hence non-real) cube root of unity.
Euler's conjecture is a disproved conjecture in mathematics related to Fermat's last theorem.
In mathematics, even functions and odd functions are functions which satisfy particular symmetry relations, with respect to taking additive inverses.
Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent.
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
In mathematics and computer algebra, factorization of polynomials or polynomial factorization is the process of expressing a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
In arithmetic and algebra, the fifth power of a number n is the result of multiplying five instances of n together.
In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.
The chronology of the first dynasty of Babylonia (also First Babylonian Empire) is debated as there is a Babylonian King List A and a Babylonian King List B. In this chronology, the regnal years of List A are used due to their wide usage.
In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together.
In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.
Greek mathematics refers to mathematics texts and advances written in Greek, developed from the 7th century BC to the 4th century AD around the shores of the Eastern Mediterranean.
In abstract algebra, a group isomorphism is a function between two groups that sets up a one-to-one correspondence between the elements of the groups in a way that respects the given group operations.
Hero of Alexandria (ἭρωνGenitive: Ἥρωνος., Heron ho Alexandreus; also known as Heron of Alexandria; c. 10 AD – c. 70 AD) was a mathematician and engineer who was active in his native city of Alexandria, Roman Egypt.
The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit,j is usually used in Engineering contexts where i has other meanings (such as electrical current) which is defined by its property.
The imaginary unit or unit imaginary number is a solution to the quadratic equation.
India (IAST), also called the Republic of India (IAST), is a country in South Asia.
In mathematics, an inequality is a relation that holds between two values when they are different (see also: equality).
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function applied to an input gives a result of, then applying its inverse function to gives the result, and vice versa.
Liu Hui was a Chinese mathematician who lived in the state of Cao Wei during the Three Kingdoms period (220–280) of China.
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).
In mathematics, the monkey saddle is the surface defined by the equation It belongs to the class of saddle surfaces and its name derives from the observation that a saddle for a monkey requires three depressions: two for the legs, and one for the tail.
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.
In mathematics and group theory, the term multiplicative group refers to one of the following concepts.
In abstract algebra, an ordered ring is a (usually commutative) ring R with a total order ≤ such that for all a, b, and c in R.
Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press.
In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd.
Pell's equation (also called the Pell–Fermat equation) is any Diophantine equation of the form where n is a given positive nonsquare integer and integer solutions are sought for x and y. In Cartesian coordinates, the equation has the form of a hyperbola; solutions occur wherever the curve passes through a point whose x and y coordinates are both integers, such as the trivial solution with x.
In number theory, a perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself (also known as its aliquot sum).
In mathematics, a perfect power is a positive integer that can be expressed as an integer power of another positive integer.
Plato’s number is a number enigmatically referred to by Plato in his dialogue the Republic (8.546b).
In geometry, a point reflection or inversion in a point (or inversion through a point, or central inversion) is a type of isometry of Euclidean space.
In mathematics, a power of two is a number of the form where is an integer, i.e. the result of exponentiation with number two as the base and integer as the exponent.
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
In mathematics, the real line, or real number line is the line whose points are the real numbers.
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn.
Rubik's Cube is a 3-D combination puzzle invented in 1974 by Hungarian sculptor and professor of architecture Ernő Rubik.
Two geometrical objects are called similar if they both have the same shape, or one has the same shape as the mirror image of the other.
In mathematics, solid geometry is the traditional name for the geometry of three-dimensional Euclidean space.
In mathematics, a square is the result of multiplying a number by itself.
In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself.
A subscript or superscript is a character (number, letter or symbol) that is (respectively) set slightly below or above the normal line of type.
In mathematics, a function f from a set X to a set Y is surjective (or onto), or a surjection, if for every element y in the codomain Y of f there is at least one element x in the domain X of f such that f(x).
In mathematics, the nth taxicab number, typically denoted Ta(n) or Taxicab(n), also called the nth Hardy–Ramanujan number, is defined as the smallest number that can be expressed as a sum of two positive cube numbers in n distinct ways.
The Nine Chapters on the Mathematical Art is a Chinese mathematics book, composed by several generations of scholars from the 10th–2nd century BCE, its latest stage being from the 2nd century CE.
A triangular number or triangle number counts objects arranged in an equilateral triangle, as in the diagram on the right.
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.
3 (three) is a number, numeral, and glyph.