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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. 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. This article presents algebra’s history, tracing the evolution of the equation, number systems, symbols, and the modern abstract structural view of algebra.

  5. Mathematics Portal | Britannica

    www.britannica.com/browse/Mathematics

    Mathematics is a science of structure, order, and relation that deals with logical reasoning and quantitative calculation. The history of mathematics can be traced back to ancient Mesopotamia; ancient clay tablets have proven that the level of mathematical competence was already high as early as roughly the 18th century BCE.

  6. Pi | Definition, Symbol, Number, & Facts | Britannica

    www.britannica.com/science/pi-mathematics

    Pi, in mathematics, is the ratio of the circumference of a circle to its diameter. Because pi is irrational (not equal to the ratio of any two whole numbers), its digits do not repeat, and an approximation such as 3.14 or 22/7 is often used for everyday calculations.

  7. mathematics - Students | Britannica Kids | Homework Help

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

    Introduction. 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. 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.

  9. 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.

  10. Percentage, a relative value indicating hundredth parts of any quantity. One percent is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. Percentages can be used to calculate profit and loss in business and to express probability.

  11. Topology | Types, Properties & Examples | Britannica

    www.britannica.com/science/topology

    topology, branch of mathematics, sometimes referred to as “rubber sheet geometry,” in which two objects are considered equivalent if they can be continuously deformed into one another through such motions in space as bending, twisting, stretching, and shrinking while disallowing tearing apart or gluing together parts.