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Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.
This is a list of mathematical logic topics. For traditional syllogistic logic, see the list of topics in logic . See also the list of computability and complexity topics for more theory of algorithms .
Psychology in mathematics education is an applied research domain, with many recent developments relevant to elementary mathematics. A major aspect is the study of motivation; while most young children enjoy some mathematical practices, by the age of seven to ten many lose interest and begin to experience mathematical anxiety.
Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense , algebra , geometry , measurement , and data analysis .
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematics that investigates functions of complex numbers.It is useful in many branches of mathematics, including number theory and applied mathematics; as well as in physics, including hydrodynamics, thermodynamics, and electrical engineering.
Elementary mathematics encompasses topics from algebra, analysis, arithmetic, calculus, geometry and number theory that are frequently taught at the primary or secondary school level. Subcategories This category has the following 5 subcategories, out of 5 total.
pi, list of topics related to pi; Squaring the circle; Proof that e is irrational; Lindemann–Weierstrass theorem; Hilbert's seventh problem; Gelfond–Schneider theorem; Erdős–Borwein constant; Liouville number; Irrationality measure; Simple continued fraction. Mathematical constant (sorted by continued fraction representation) Khinchin's ...
In modern times, there has been a move towards regional or national standards, usually under the umbrella of a wider standard school curriculum. In England, for example, standards for mathematics education are set as part of the National Curriculum for England, [31] while Scotland maintains its own educational system. Many other countries have ...
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