mathematics

The mathematics of a problem is the calculations that are involved in it. Once you understand the mathematics of debt you can work your way out of it. the science of numbers and of shapes, including algebra, geometry, and arithmetic (mathematicus, from , from mathema , from manthanein ). Science of structure, order, and relation that has evolved from counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation. Since the 17th century it has been an indispensable adjunct to the physical sciences and technology, to the extent that it is considered the underlying language of science. Among the principal branches of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and non-Euclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry

The science that deals with numbers, quantities, shapes, patterns measurement, and the concepts related to them, and their relationships Includes arithmetic, algebra, geometry, trigonometry, calculus, etc

tr>

The Queen of Subjects Or so I once heard it described In reality, the bane of school children everywhere The worst bit in a science course A simple word that can strike fear into the heart of any artist And those who actually study it They're all quite mad Mad

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

The science of patterns and order and the study of measurement, properties, and the relationships of quantities; using numbers and symbols

(n) An abstract symbol-based communications system based on formal logic Geometry is one of the oldest fields of mathematics and underlies most of the principles used in technical graphics and CAD

{i} science of numbers and number patterns and forms; mathematical aspects of something

The science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects It deals with logical reasoning and quantitative calculation [Britannica Online v 1 31, 1995]

pg 7, par 3

A persons ability to count, calculate, and use different systems of mathematics at differing levels

a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

The essence of mathematics is liberty. - Freedom is the essence of mathematics.

She doesn't like snakes and mathematics. - She does not like snakes and mathematics.

mathematics department

the academic department responsible for teaching and research in mathematics

mathematics teacher

someone who teaches mathematics

applied mathematics

Mathematics used to solve problems in other sciences such as physics, engineering or electronics, as opposed to pure mathematics

discrete mathematics

A blanket term which includes most discrete or computer science related branches of mathematics, such as graph theory and combinatorics

pure mathematics

Mathematics which is done for its own sake rather than being motivated by other sciences

recreational mathematics

Any use of mathematics or logic whose primary purpose is recreation, though often with more serious characteristics

discrete mathematics

Discrete mathematics, also called finite mathematics or Decision Maths, is the study of mathematical structures that are fundamentally discrete, in the sense of not supporting or requiring the notion of continuity. Most, if not all, of the objects studied in finite mathematics are countable sets, such as integers, finite graphs, and formal languages

applied mathematics

mathematics that can be used in real-life situations

applied mathematics

the branches of mathematics that are involved in the study of the physical or biological or sociological world

binary mathematics

branch of mathematics based on a two digit system

foundations of mathematics

Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid's Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system (be it Euclidean geometry or calculus) can ensure its completeness and consistency. In the modern era, this debate for a time divided into three schools of thought: logicism, formalism, and intuitionism. Logicists supposed that abstract mathematical objects can be entirely developed starting from basic ideas of sets and rational, or logical, thought; a variant of logicism, known as mathematical Platonism, views these objects as existing external to and independent of an observer. Formalists believed mathematics to be the manipulation of configurations of symbols according to prescribed rules, a "game" independent of any physical interpretation of the symbols. Intuitionists rejected certain concepts of logic and the notion that the axiomatic method would suffice to explain all of mathematics, instead seeing mathematics as an intellectual activity dealing with mental constructions (see constructivism) independent of language and any external reality. In the 20th century, Gödel's theorem ended any hope of finding an axiomatic basis of mathematics that was both complete and free from contradictions

higher mathematics

different types of advanced mathematics that are studied and taught at universities

higher mathematics

higher level of math (algebra, geometry, etc.)

philosophy of mathematics

Branch of philosophy concerned with the epistemology and ontology of mathematics. Early in the 20th century, three main schools of thought called logicism, formalism, and intuitionism arose to account for and resolve the crisis in the foundations of mathematics. Logicism argues that all mathematical notions are reducible to laws of pure thought, or logical principles; a variant known as mathematical Platonism holds that mathematical notions are transcendent Ideals, or Forms, independent of human consciousness. Formalism holds that mathematics consists simply of the manipulation of finite configurations of symbols according to prescribed rules; a "game" independent of any physical interpretation of the symbols. Intuitionism is characterized by its rejection of any knowledge-or evidence-transcendent notion of truth. Hence, only objects that can be constructed (see constructivism) in a finite number of steps are admitted, while actual infinities and the law of the excluded middle (see laws of thought) are rejected. These three schools of thought were principally led, respectively, by Bertrand Russell, David Hilbert, and the Dutch mathematician Luitzen Egbertus Jan Brouwer (1881-1966)

pure mathematics

the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness

pure mathematics

theoretical mathematics, abstract mathematics

mathematics

Hyphenation

math·e·mat·ics

Turkish pronunciation

mäthımätîks

Synonyms

numeracy, maths, math, addition, algebra, calculation, calculus, division, figures, geometry, multiplication, numbers, subtraction, trigonometry

Pronunciation

/ˌmaᴛʜəˈmatəks/ /ˌmæθəˈmætɪks/

Etymology

() From Latin mathēmatica (“mathematics”), from Ancient Greek μαθηματικός (mathematikos, “fond of learning”) from μάθημα (máthema, “knowledge, learning”).