mathematics
n. science of numbers and number patterns and forms; mathematical aspects of something | ||||
Search Dictionary:
Mathematics definition was found in categories: Computer & Internet(1) Language, Idioms & Slang(3) Arts & Humanities(2) Entertainment & Music(1) Social Science(1) Science & Technology(1) Encyclopedia(1)
Mathematics Definition from Computer & Internet Dictionaries & Glossaries
| FOLDOC |
mathematics
infinity inner product algebra logic prime number theorem Rayleigh distribution set theory Mandelbrot set fractal logarithmus dualis characteristic function sine wave incomparable ply real discrete preorder antisymmetric Pythagoras' Theorem infinite infinite set Fourier transform hypotenuse cardinality lower set canonical powerset discrete Fourier transform Mathematica function algebraic structure syntax tree injection map Cantor fractal dimension additive real number cepstrum domain integer FORM formal methods Cauchy sequence Algebraic Manipulation Package Guide to Available Mathematical Software Cartesian coordinates Cartesian product radix Poisson distribution SHEEP trillion precision transfinite induction Calc graph aleph 0 statistics polynomial Lorenz attractor four colour map theorem projective plane Gottlob Frege dual Euclidean norm De Bruijn graph scalar octal connected graph connected subgraph Active Language I expression tree constructive JAffer's Canonical ALgebra base lambda expression lambda-calculus Banach-Tarski paradox Banach space Banach inverse mapping theorem ordinal constraint isomorphic irrational number binary bijection discrete cosine transform optimal computability theory computational geometry exponential isometry SAC2 isomorphism isomorphism class Schoonschip assignment problem suitably small one-way function decidability leaf AUTOmated GRouPing system Banach algebra GAP automaton enumeration Automatic Mathematical TRANslation AMP curried function Russell's Attic MuMath Axiom of Choice homogeneous knapsack problem FSM surjection natural number root node nastistical AUTOMATH norm convex hull trap-door function cooccurrence matrix daughter SAC-1 embedding coordinate AXIOM* normed space complex number Non-Uniform Rational B Spline countable counted Russell's Paradox Axiom of Comprehension equivalence relation equivalence class Not-a-Number total ordering total function fixed point combinator fixed point fix regular graph permutation relation Boolean googolplex Symbolic Mathematical Laboratory linear space tree linear map ordinate totally ordered set totally ordered Finite State Machine clique Internal Translator antichain symmetric iff branch hexadecimal accuracy recursion regression Diophantine equation closed set metric space REDUCE Boolean logic Boolean algebra IEEE Floating Point Standard symbolic mathematics CLAM chromatic number modulo Fibonacci sequence Fermat prime modular arithmetic intuitionistic logic PEARL inverse greatest common divisor Symbolic Automatic INTegrator combination modulo operator SymbMath Delaunay triangulation ORTHOCARTAN abscissa affine transformation relatively prime parent eigenvector tensor product General Recursion Theorem googol Pari topology eigenvalue interpolation Peano arithmetic Voronoi diagram von Neumann ordinal well-ordered set Zermelo Frnkel set theory vector vector space von Neumann integer ZFC Voronoi polygon wavelet Zermelo set theory
infinity inner product algebra logic prime number theorem Rayleigh distribution set theory Mandelbrot set fractal logarithmus dualis characteristic function sine wave incomparable ply real discrete preorder antisymmetric Pythagoras' Theorem infinite infinite set Fourier transform hypotenuse cardinality lower set canonical powerset discrete Fourier transform Mathematica function algebraic structure syntax tree injection map Cantor fractal dimension additive real number cepstrum domain integer FORM formal methods Cauchy sequence Algebraic Manipulation Package Guide to Available Mathematical Software Cartesian coordinates Cartesian product radix Poisson distribution SHEEP trillion precision transfinite induction Calc graph aleph 0 statistics polynomial Lorenz attractor four colour map theorem projective plane Gottlob Frege dual Euclidean norm De Bruijn graph scalar octal connected graph connected subgraph Active Language I expression tree constructive JAffer's Canonical ALgebra base lambda expression lambda-calculus Banach-Tarski paradox Banach space Banach inverse mapping theorem ordinal constraint isomorphic irrational number binary bijection discrete cosine transform optimal computability theory computational geometry exponential isometry SAC2 isomorphism isomorphism class Schoonschip assignment problem suitably small one-way function decidability leaf AUTOmated GRouPing system Banach algebra GAP automaton enumeration Automatic Mathematical TRANslation AMP curried function Russell's Attic MuMath Axiom of Choice homogeneous knapsack problem FSM surjection natural number root node nastistical AUTOMATH norm convex hull trap-door function cooccurrence matrix daughter SAC-1 embedding coordinate AXIOM* normed space complex number Non-Uniform Rational B Spline countable counted Russell's Paradox Axiom of Comprehension equivalence relation equivalence class Not-a-Number total ordering total function fixed point combinator fixed point fix regular graph permutation relation Boolean googolplex Symbolic Mathematical Laboratory linear space tree linear map ordinate totally ordered set totally ordered Finite State Machine clique Internal Translator antichain symmetric iff branch hexadecimal accuracy recursion regression Diophantine equation closed set metric space REDUCE Boolean logic Boolean algebra IEEE Floating Point Standard symbolic mathematics CLAM chromatic number modulo Fibonacci sequence Fermat prime modular arithmetic intuitionistic logic PEARL inverse greatest common divisor Symbolic Automatic INTegrator combination modulo operator SymbMath Delaunay triangulation ORTHOCARTAN abscissa affine transformation relatively prime parent eigenvector tensor product General Recursion Theorem googol Pari topology eigenvalue interpolation Peano arithmetic Voronoi diagram von Neumann ordinal well-ordered set Zermelo Frnkel set theory vector vector space von Neumann integer ZFC Voronoi polygon wavelet Zermelo set theory
Mathematics Definition from Language, Idioms & Slang Dictionaries & Glossaries
| Webster's Revised Unabridged Dictionary (1913) |
Mathematics
(n.)
That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations.
(n.)
That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations.
| WordNet 2.0 |
mathematics
Noun
1. a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
(synonym) math, maths
(hypernym) science, scientific discipline
(hyponym) pure mathematics
(classification) science, scientific discipline
(class) idempotent
Noun
1. a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
(synonym) math, maths
(hypernym) science, scientific discipline
(hyponym) pure mathematics
(classification) science, scientific discipline
(class) idempotent
| hEnglish - advanced version |
mathematics
mathematics
\math`e*mat"ics\ (?), n. [f. mathématiques, pl., l. mathematica, sing., gr. &?; (sc. &?;) science. see mathematic, and -ics.] that science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations.
note: mathematics embraces three departments, namely:
1. arithmetic. 2. geometry, including trigonometry and conic sections. 3. analysis, in which letters are used, including algebra, analytical geometry, and calculus. each of these divisions is divided into pure or abstract, which considers magnitude or quantity abstractly, without relation to matter; and mixed or applied, which treats of magnitude as subsisting in material bodies, and is consequently interwoven with physical considerations.
similar words(4)
applied mathematics
symbolic mathematics
keldysh institute of applied mathematics
pure mathematics
mathematics
\math`e*mat"ics\ (?), n. [f. mathématiques, pl., l. mathematica, sing., gr. &?; (sc. &?;) science. see mathematic, and -ics.] that science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations.
note: mathematics embraces three departments, namely:
1. arithmetic. 2. geometry, including trigonometry and conic sections. 3. analysis, in which letters are used, including algebra, analytical geometry, and calculus. each of these divisions is divided into pure or abstract, which considers magnitude or quantity abstractly, without relation to matter; and mixed or applied, which treats of magnitude as subsisting in material bodies, and is consequently interwoven with physical considerations.
similar words(4)
applied mathematics
symbolic mathematics
keldysh institute of applied mathematics
pure mathematics
Mathematics Definition from Arts & Humanities Dictionaries & Glossaries
| Theological and Philosophical Biography and Dictionary |
| Kant Glossary |
MATHEMATICS
[L:26] Kant distinguishes philosophy and mathematics as "two kinds of cognitions which both are a priori and yet have many pronounced differences." The "different manner of rational cognition or of the use of reason in mathematics and philosophy" accounts for the sharp distinction; "philosophy, namely, is that cognition of reason out of mere concepts; mathematics, on the contrary, is the cognition of reason out of the construction of concepts."
[L:26] Kant distinguishes philosophy and mathematics as "two kinds of cognitions which both are a priori and yet have many pronounced differences." The "different manner of rational cognition or of the use of reason in mathematics and philosophy" accounts for the sharp distinction; "philosophy, namely, is that cognition of reason out of mere concepts; mathematics, on the contrary, is the cognition of reason out of the construction of concepts."
Mathematics Definition from Entertainment & Music Dictionaries & Glossaries
| English to Federation-Standard Golic Vulcan |
Mathematics
su'us-ek'tal
su'us-ek'tal
| Phobia |
Arithmophobia
Fear of numbers
Fear of numbers
Numerophobia
Fear of numbers
Mathematics Definition from Science & Technology Dictionaries & Glossaries
| Web Dictionary of Cybernetics and Systems |
Mathematics
Originally, the science of number and quantity. But with the birth of numerous more qualitative formalisms, (e.g., logic, propositional calculi, set theory), with the emergence of the unifying idea of a mathematical structure, with the advent of the axiomatic method emphasising inference, proof and the descriptions of complex systems in terms of simple axioms, and, finally, with self-reflective efforts such as meta -mathematics, mathematics has become the autonomous (see autonomy ) science of formal construct ions. Emphasising its formal character and its applicability to all conceivable worlds, mathematics has been likened to a language whose semantics is supplied by other sciences or by particular applications. Although all constructions are inventions of the human mind, cannot be found in nature and have no necessary connection with the world outside mathematics, they nevertheless arise in conjunction with solving certain kinds of problems: (1) real world problems, (e.g., geometry evolved in efforts of measuring the earth, game theory grew out of concerns for social conflict resolution, statistics from the need to test hypotheses on large numbers of observations, recursive function theory from the desire for efficient algorithm s), (2) intellectual curiosity and playfulness, (e.g., markov chain theory stems from interest in poetry, probability theory from games of chance, the four-color problem, symmetry and much of topology (see the Mobiusband) from interest in artistic expression), and (3) interest in the powers and limitations of mathematics and the mind, (e.g., Goedel's incompleteness theorem from the inherent undecidability or incompleteness of systems, the theory of logical types from disturbing paradox es, the differential and integral calculi from efforts to transcend the smallest distinctions practically possible). However, it is a characteristic of mathematics that the problems giving rise to its constructions are soon forgotten and the constructions develop a life of their own, checked only by such validity criteria as internal consistency, decidability and completeness. Empirical data from an existing world do not threaten the products of mathematics. (Krippendorff )
Originally, the science of number and quantity. But with the birth of numerous more qualitative formalisms, (e.g., logic, propositional calculi, set theory), with the emergence of the unifying idea of a mathematical structure, with the advent of the axiomatic method emphasising inference, proof and the descriptions of complex systems in terms of simple axioms, and, finally, with self-reflective efforts such as meta -mathematics, mathematics has become the autonomous (see autonomy ) science of formal construct ions. Emphasising its formal character and its applicability to all conceivable worlds, mathematics has been likened to a language whose semantics is supplied by other sciences or by particular applications. Although all constructions are inventions of the human mind, cannot be found in nature and have no necessary connection with the world outside mathematics, they nevertheless arise in conjunction with solving certain kinds of problems: (1) real world problems, (e.g., geometry evolved in efforts of measuring the earth, game theory grew out of concerns for social conflict resolution, statistics from the need to test hypotheses on large numbers of observations, recursive function theory from the desire for efficient algorithm s), (2) intellectual curiosity and playfulness, (e.g., markov chain theory stems from interest in poetry, probability theory from games of chance, the four-color problem, symmetry and much of topology (see the Mobiusband) from interest in artistic expression), and (3) interest in the powers and limitations of mathematics and the mind, (e.g., Goedel's incompleteness theorem from the inherent undecidability or incompleteness of systems, the theory of logical types from disturbing paradox es, the differential and integral calculi from efforts to transcend the smallest distinctions practically possible). However, it is a characteristic of mathematics that the problems giving rise to its constructions are soon forgotten and the constructions develop a life of their own, checked only by such validity criteria as internal consistency, decidability and completeness. Empirical data from an existing world do not threaten the products of mathematics. (Krippendorff )
Mathematics Definition from Encyclopedia Dictionaries & Glossaries
| Wikipedia English - The Free Encyclopedia |
Mathematics
For other meanings of "mathematics" or "math", see Mathematics (disambiguation) and Math (disambiguation).
Mathematics (colloquially, maths or math) is the body of knowledge centered on such concepts as quantity, structure, space, and change, and also the academic discipline that studies them. Benjamin Peirce called it "the science that draws necessary conclusions". Other practitioners of mathematics maintain that mathematics is the science of pattern, that mathematicians seek out patterns whether found in numbers, space, science, computers, imaginary abstractions, or elsewhere. Mathematicians explore such concepts, aiming to formulate new conjectures and establish their truth by rigorous deduction from appropriately chosen axioms and definitions. Through the use of abstraction and logical reasoning, mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Knowledge and use of basic mathematics have always been an inherent and integral part of individual and group life. Refinements of the basic ideas are visible in mathematical texts originating in ancient Egypt, Mesopotamia, ancient India, ancient China, and ancient Greece. Rigorous arguments appear in Euclid's Elements. The development continued in fitful bursts until the Renaissance period of the 16th century, when mathematical innovations interacted with new scientific discoveries, leading to an acceleration in research that continues to the present day.
| See more at Wikipedia.org... |