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]
(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
The science of patterns and order and the study of measurement, properties, and the relationships of quantities; using numbers and symbols
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 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
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
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
Genus: Science Differentia: The relationship and properties of quantities, through the use of numbers
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
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
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)
[ "math-'ma-tiks, "ma-th&- ] (noun plural but usually singul.) 1581. From Latin mathēmatica (“mathematics”), from Ancient Greek μαθηματικός (mathematikos, “fond of learning”) from μάθημα (máthema, “knowledge, learning”).
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