# mathematics

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## math·e·mat·ics

(măth′ə-măt′ĭks)*n.*

*(used with a sing. verb)*

The study of the measurement, properties, and relationships of quantities and sets, using numbers and symbols.

[From Middle English mathematik, from Old French mathematique, from Latin mathēmatica, from Greek mathēmatikē (tekhnē),

*mathematical (science)*, feminine of mathēmatikos,*mathematical*; see**mathematical**.]American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## mathematics

(ˌmæθəˈmætɪks; ˌmæθˈmæt-)*n*

**1.**(Mathematics) (

*functioning as singular*) a group of related sciences, including algebra, geometry, and calculus, concerned with the study of number, quantity, shape, and space and their interrelationships by using a specialized notation

**2.**(Mathematics) (

*functioning as singular or plural*) mathematical operations and processes involved in the solution of a problem or study of some scientific field

[C14:

*mathematik*(n), via Latin from Greek (adj), from*mathēma*a science,*mathēmatikos*(adj); related to*manthanein*to learn]Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## math•e•mat•ics

(ˌmæθ əˈmæt ɪks)*n.*

**1.**(

*used with a sing. v.*) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically.

**2.**(

*used with a sing. or pl. v.*) mathematical procedures, operations, or properties.

[1350–1400; < Latin < Greek

*mathēmatikḕ*(*téchnē*) scientific (craft) =*mathēmat-*lesson, learning +*-ikē,*-ic; see -ics]Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

## math·e·mat·ics

(măth′ə-măt′ĭks) The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are branches of mathematics.

The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## Mathematics

the branch of mathematics that treats the representation and manip-ulation of relationships among numbers, values, vectors, etc.

**— algebraic**,*adj.***1.**the Arabic system of numbering.

**2.**the method of computation with the Arabic flgures 1 through 9, plus the zero; arithmetic.

**3.**the rule for solving a specific kind of arithmetic problem, as finding an average; algorithm.

**— algorist**,

*n.*

**— algorismic**,

*adj.*

any methodology for solving a certain kind of problem.

the construction of a proportion.

**1.**the calculation of the probable extent of human lifespans.

**2.**the application to biology of mathematical and statistical theory and methods.

**— biometric, biometrical,**

*adj.*

a branch of mathematics that treats the measurement of changing quantities, determining rates of change (differential calculus) and quantities under changing conditions (integral calculus).

the branch of applied mathematics that studies the measurement and shape and area of large tracts, the exact position of geographical points, and the curvature, shape, and dimensions of the earth. Also called

**geodetics**.**— geodesist**,*n.***— geodetic, geodetical**,*adj.*the branch of mathematics that treats the measurement, relationship, and properties of points, lines, angles, and flgures in space.

**— geometer, geometrician**,*n.***— geometric, geometrical**,*adj.*the study of flgures that have perimeters of equal length.

**— isoperimetrical, isoperimetral**,*adj.*a form of divination involving logarithms.

*Rare.*the art or science of calculation or arithmetic.

the systematic study of magnitude, quantitites, and their relationships as expressed symbolically in the form of numerals and forms.

**— mathematician**,*n.***— mathematic, mathematical**,*adj.*the logical analysis of the fundamental concepts of mathematics, as function, number, etc.

**— metamathematician**,*n.***— metamathematical**,*adj.*the state or quality of being right-angled or perpendicular.

**— orthogonal**,*adj.*the quality of being parallel.

**1.**

*Rare.*a love of learning.

**2.**a love of mathematics.

**— philomath**,

*n.*

**— philomathic, philomathical, philomathean**,

*adj.*

the geometry and measurement of plane surfaces.

**— planimeter**,*n.***— planimetric, planimetrical**,*adj.*a mathematical expression having the quality of two or more terms.

*Rare.*a kind of geometrical proposition of ancient Greek mathematics arising during the investigation of some other proposition either as a corollary or as a condition that will render a certain problem indeterminate.

**— porismatic**,

*adj*.

the doctrines and theories of Pythagoras, ancient Greek philosopher and mathematician, and the Pythagoreans, especially number relationships in music theory, acoustics, astronomy, and geometry (the Pythagorean theorem for right triangles), a belief in metempsychosis, and mysticism based on numbers.

**— Pythagorean**,*n., adj.***— Pythagorist**,*n.*the branch of algebra that deals with equations containing variables of the second power, i.e. squared, but no higher.

the state of having a roughly spherical shape. Also called

**spheroidism**, spheroidity.*Rare.*a treatise on statistics.

a person who discovers or formulates a mathematical theorem.

**— theorematic**,*adj.*a branch of mathematics that studies the properties of geometrical forms that remain invariant under certain transformations, as bending or stretching.

**— topologist**,*n.***— topologic, topological**,*adj.*the branch of mathematics that treats the measurement of and relationships between the sides and angles of plane triangles and the solid figures derived from them.

**— trigonometric, trigonometrical**,*adj.*-Ologies & -Isms. Copyright 2008 The Gale Group, Inc. All rights reserved.

## mathematics

–**maths**–

**math**

**Mathematics** is the study of numbers, quantities, and shapes. When mathematics is taught as a subject at school, it is usually called **maths** in British English, and **math** in American English.

__Maths__is my best subject at school.*Julio teaches*

__math__at a middle school.**Be Careful!****Mathematics**, **maths**, and **math** are uncountable nouns and are used with a singular verb. Don't say, for example, 'Maths are my best subject'.

When you are referring to a science rather than a school subject, use **mathematics**.

*According to the laws of*

__mathematics__, this is not possible.Collins COBUILD English Usage © HarperCollins Publishers 1992, 2004, 2011, 2012

ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | mathematics - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementrounding, rounding error - (mathematics) a miscalculation that results from rounding off numbers to a convenient number of decimals; "the error in the calculation was attributable to rounding"; "taxes are rounded off to the nearest dollar but the rounding error is surprisingly small" truncation error - (mathematics) a miscalculation that results from cutting off a numerical calculation before it is finished mathematical operation, mathematical process, operation - (mathematics) calculation by mathematical methods; "the problems at the end of the chapter demonstrated the mathematical processes involved in the derivation"; "they were learning the basic operations of arithmetic" rationalisation, rationalization - (mathematics) the simplification of an expression or equation by eliminating radicals without changing the value of the expression or the roots of the equation invariance - the nature of a quantity or property or function that remains unchanged when a given transformation is applied to it; "the invariance of the configuration under translation" accuracy - (mathematics) the number of significant figures given in a number; "the atomic clock enabled scientists to measure time with much greater accuracy" symmetricalness, symmetry, correspondence, balance - (mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane factoring, factorisation, factorization - (mathematics) the resolution of an entity into factors such that when multiplied together they give the original entity extrapolation - (mathematics) calculation of the value of a function outside the range of known values interpolation - (mathematics) calculation of the value of a function between the values already known formula, rule - (mathematics) a standard procedure for solving a class of mathematical problems; "he determined the upper bound with Descartes' rule of signs"; "he gave us a general formula for attacking polynomials" recursion - (mathematics) an expression such that each term is generated by repeating a particular mathematical operation invariant - a feature (quantity or property or function) that remains unchanged when a particular transformation is applied to it multinomial, polynomial - a mathematical function that is the sum of a number of terms series - (mathematics) the sum of a finite or infinite sequence of expressions infinitesimal - (mathematics) a variable that has zero as its limit fractal - (mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry science, scientific discipline - a particular branch of scientific knowledge; "the science of genetics" pure mathematics - the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness arithmetic - the branch of pure mathematics dealing with the theory of numerical calculations geometry - the pure mathematics of points and lines and curves and surfaces affine geometry - the geometry of affine transformations elementary geometry, Euclidean geometry, parabolic geometry - (mathematics) geometry based on Euclid's axioms Euclidean axiom, Euclid's axiom, Euclid's postulate - (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry fractal geometry - (mathematics) the geometry of fractals; "Benoit Mandelbrot pioneered fractal geometry" non-Euclidean geometry - (mathematics) geometry based on axioms different from Euclid's; "non-Euclidean geometries discard or replace one or more of the Euclidean axioms" hyperbolic geometry - (mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane; "Karl Gauss pioneered hyperbolic geometry" elliptic geometry, Riemannian geometry - (mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle; "Bernhard Riemann pioneered elliptic geometry" numerical analysis - (mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus spherical geometry - (mathematics) the geometry of figures on the surface of a sphere spherical trigonometry - (mathematics) the trigonometry of spherical triangles analytic geometry, analytical geometry, coordinate geometry - the use of algebra to study geometric properties; operates on symbols defined in a coordinate system plane geometry - the geometry of 2-dimensional figures solid geometry - the geometry of 3-dimensional space |

Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

## mathematics

*noun*

**Quotations**

"As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality" [Albert Einstein]

"I have often admired the mystical way of Pythagoras, and the secret magic of numbers" [Thomas Browne

*Religio Medici*]

"Beauty is the first test; there is no permanent place in the world for ugly mathematics" [Godfrey Harold Hardy

*A Mathematician's Apology*]

#### Mathematics

**Branches of mathematics**algebra, analysis, analytical geometry

*or*coordinate geometry, applied mathematics, arithmetic, Boolean algebra, calculus, chaos geometry, conics, differential calculus, Euclidean geometry, game theory, geometry, group theory, integral calculus, nomography, non-Euclidean geometry, number theory, numerical analysis, probability theory, pure mathematics, set theory, statistics, topology, trigonometry

**Mathematical terms**acute angle, addition, algorithm

*or*algorism, angle, arc, area, average, axis, base, binary, binomial, cardinal number, Cartesian coordinates, chord, circle, circumference, closed set, coefficient, common denominator, common factor, complex number, concentric, cone, constant, coordinate

*or*co-ordinate, cosecant, cosine, cotangent, cube, cube root, cuboid, curve, cusp, cylinder, decagon, decimal, denary, denominator, diagonal, diameter, digit, division, dodecahedron, ellipse, equals, equation, equilateral, even, exponential, factor, factorial, formula, fraction, frequency, function, graph, helix, hemisphere, heptagon, hexagon, hyperbola, hypotenuse, icosahedron, imaginary number, improper fraction, index, infinity, integer, integral, intersection, irrational number, isosceles, locus, logarithm

*or*log, lowest common denominator, lowest common multiple, Mandelbrot set, matrix, mean, median, minus, mode, multiplication, natural logarithm, natural number, node, nonagon, number, numerator, oblong, obtuse angle, octagon, octahedron, odd, open set, operation, operator, ordinal number, origin, parabola, parallel, parallelogram, pentagon, percentage, perfect number, pi, plus, polygon, polyhedron, polynomial, power, prime number, prism, probability, product, proof, proper fraction, Pythagoras' theorem, quadrant, quadratic equation, quadrilateral, quotient, radian, radius, ratio, rational number, real number, reciprocal, rectangle, recurring decimal, reflex angle, remainder, rhombus, right angle, right-angled triangle, root, scalar, scalene, secant, sector, semicircle, set, significant figures, simultaneous equations, sine, slide rule, solid, sphere, square, square root, strange attractor, subset, subtraction, sum, surd, tangent, tetrahedron, torus, trapezium, triangle, union, universal set, value, variable, vector, Venn diagram, volume, vulgar fraction, x-axis, y-axis, z-axis, zero

**Mathematicians**Maria Gaetana Agnesi (

*Italian*), Howard Hathaway Aiken (

*U.S.*), Jean Le Rond Alembert (

*French*), André Marie Ampère (

*French*), Anaximander (

*Greek*), Apollonius of Perga (

*Greek*), Archimedes (

*Greek*), Charles Babbage (

*English*), Johann Jakob Balmer (

*Swiss*), Daniel Bernoulli (

*Swiss*), Jacques Bernoulli (

*Swiss*), Jean Bernoulli (

*Swiss*), Friedrich Wilhelm Bessel (

*German*), Hermann Bondi (

*British*), George Boole (

*English*), Henry Briggs (

*English*), Augustin Louis Cauchy (

*French*), Arthur Cayley (

*English*), Rudolf Julius Clausius (

*German*), Isidore Auguste Comte (

*French*), George Howard Darwin (

*English*), Julius Wilhelm Richard Dedekind (

*German*), John Dee (

*English*), René Descartes (

*French*), Diophantus (

*Greek*), Peter Gustav Lejeune Dirichlet (

*German*), Albert Einstein (

*U.S.*), Eratosthenes (

*Greek*), Euclid (

*Greek*), Eudoxus of Cnidus (

*Greek*), Leonhard Euler (

*Swiss*), Pierre de Fermat (

*French*), Leonardo Fibonacci (

*Italian*), Jean Baptiste Joseph Fourier (

*French*), Galileo (

*Italian*), Karl Friedrich Gauss (

*German*), Josiah Willard Gibbs (

*U.S.*), Kurt Gödel (

*U.S.*), Edmund Gunter (

*English*), Edmund Halley (

*English*), William Rowan Hamilton (

*Irish*), Hero (

*Greek*), David Hilbert (

*German*), Karl Gustav Jacob Jacobi (

*German*), Herman Kahn (

*U.S.*), Andrei Nikolaevich Kolmogorov (

*Soviet*), Joseph Louis Lagrange (

*French*), Pierre Simon Laplace (

*French*), Adrien Marie Legendre (

*French*), Gottfried Wilhelm von Leibnitz (

*German*), Nikolai Ivanovich Lobachevsky (

*Russian*), Ada Lovelace (

*English*), Pierre Louis Moreau de Maupertuis (

*French*), Gerardus Mercator (

*Flemish*), Hermann Minkowski (

*German*), John Napier (

*Scottish*), Isaac Newton (

*English*), Omar Khayyám (

*Persian*), Nicole d'Oresme (

*French*), Pappus of Alexandria (

*Greek*), Blaise Pascal (

*French*), Karl Pearson (

*English*), Charles Sanders Peirce (

*U.S.*), William George Penney (

*English*), Roger Penrose (

*English*), Jules Henri Poincaré (

*French*), Siméon Denis Poisson (

*French*), Ptolemy (

*Greek*), Pythagoras (

*Greek*), Johann Müller Regiomontanus (

*German*), Georg Friedrich Bernhard Riemann (

*German*), Bertrand Russell (

*English*), Claude Shannon (

*U.S.*), Brook Taylor (

*English*), Thales (

*Greek*), Evangelista Torricelli (

*Italian*), Alan Mathison Turing (

*English*), John von Neumann (

*U.S.*), Hermann Weyl (

*U.S.*), Alfred North Whitehead (

*English*), Norbert Wiener (

*U.S.*)

Collins Thesaurus of the English Language – Complete and Unabridged 2nd Edition. 2002 © HarperCollins Publishers 1995, 2002

Translations

**wiskunde**

**математика**

**matemàtica**

**matemàtiques**

**matematika**

**matematik**

**matematiko**

**matemaatika**

**ریاضیات**

**matematiikka**

**מתמטיקה**

**गणित**

**matematika**

**matematika**

**mathematica**

**matematika**

**stærðfræði**

**stærîfræîi**

**数学**

**수학**

**mathematica**

**matematika**

**matematikas**

**matematinis**

**matematiškai**

**matematiškas**

**matemātika**

**ഗണിതം**

**matematică**

**matematika**

**počty**

**matematika**

**математика**

**matematik**

**hisabati**

**คณิตศาสตร์**

**математика**

**ریاضی**

**toán học**

Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

Collins English/French Electronic Resource. © HarperCollins Publishers 2005

## mathematics

Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

## mathematics

(mӕθəˈmӕtiks)*noun singular*

(

*abbreviation***maths**(mӕθs) , (*American*)**math**(mӕθ) ) the science or branch of knowledge dealing with measurements, numbers and quantities.**ˌmatheˈmatical**

*adjective*

**1.**of or done by mathematics. mathematical tables.

**2.**very exact or accurate. mathematical precision.

**ˌmatheˈmatically**

*adverb*

**ˌmathemaˈtician**(-ˈtiʃən)

*noun*

**1.**a person who is good at mathematics. For a young boy, he's quite a mathematician!

**2.**someone who works in mathematics. He is a mathematician with a local engineering firm.

Kernerman English Multilingual Dictionary © 2006-2013 K Dictionaries Ltd.

## mathematics

→ رِيَاضِيَاتٌ matematika matematik Mathematik μαθηματικά matemáticas matematiikka mathématiques matematika matematica 数学 수학 wiskunde matematikk matematyka matemática математика matematik คณิตศาสตร์ matematik toán học 数学Multilingual Translator © HarperCollins Publishers 2009