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  2. Mathematics, the science of structure, order, and relation that has evolved from counting, measuring, and describing the shapes of objects. Mathematics has been an indispensable adjunct to the physical sciences and technology and has assumed a similar role in the life sciences.

  3. Mathematics and its branches | Britannica

    www.britannica.com/summary/mathematics

    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.

  4. Function | Definition, Types, Examples, & Facts | Britannica

    www.britannica.com/science/function-mathematics

    Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

  5. Foundations of mathematics | History & Facts | Britannica

    www.britannica.com/science/foundations-of-mathematics

    foundations of mathematics, the study of the logical and philosophical basis of mathematics, including whether the axioms of a given system ensure its completeness and its consistency. Because mathematics has served as a model for rational inquiry in the West and is used extensively in the sciences, foundational studies have far-reaching ...

  6. Mathematics Definition & Meaning | Britannica Dictionary

    www.britannica.com/dictionary/mathematics

    MATHEMATICS meaning: the science of numbers, quantities, and shapes and the relations between them often used before another noun

  7. mathematics - Students | Britannica Kids | Homework Help

    kids.britannica.com/students/article/mathematics/275734

    Mathematics, or math, is often defined as the study of quantity, magnitude, and relations of numbers or symbols. It embraces the subjects of arithmetic , geometry , algebra , calculus , probability , statistics , and many other special areas of research.

  8. Algebra | History, Definition, & Facts | Britannica

    www.britannica.com/science/algebra

    algebra, branch of mathematics in which arithmetical operations and formal manipulations are applied to abstract symbols rather than specific numbers. The notion that there exists such a distinct subdiscipline of mathematics, as well as the term algebra to denote it, resulted from a slow historical development. This article presents that ...

  9. mathematics - Kids | Britannica Kids | Homework Help

    kids.britannica.com/kids/article/mathematics/353443

    Mathematics, or math, is the study of numbers and how they are related to each other and to the real world. Math is as important as language. In fact, people sometimes describe math as a kind of language. Everyone uses math every day—to tell time, to play games, to cook, to build things, and to do almost any kind of work.

  10. Matrix | Definition, Types, & Facts | Britannica

    www.britannica.com/science/matrix-mathematics

    Matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix. Matrices have wide applications in engineering, physics, economics, and statistics as well as in various branches of mathematics.

  11. Mean | Definition, Formula, & Facts | Britannica

    www.britannica.com/science/mean

    Mean, in mathematics, a quantity that has a value intermediate between those of the extreme members of some set. Several kinds of means exist, and the method of calculating a mean depends upon the relationship known or assumed to govern the other members.