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  2. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  3. Philosophy of mathematics - Wikipedia

    en.wikipedia.org/wiki/Philosophy_of_mathematics

    Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship with other human activities.. Major themes that are dealt with in philosophy of mathematics include:

  4. History of mathematics - Wikipedia

    en.wikipedia.org/wiki/History_of_mathematics

    As a result, there is a corresponding growth in the demand for mathematics to help process and understand this big data. Math science careers are also expected to continue to grow, with the US Bureau of Labor Statistics estimating (in 2018) that "employment of mathematical science occupations is projected to grow 27.9 percent from 2016 to 2026."

  5. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    e. The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US$ 1 million prize for the first correct solution to each problem. The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved ...

  6. Imaginary unit - Wikipedia

    en.wikipedia.org/wiki/Imaginary_unit

    The imaginary unit i in the complex plane: Real numbers are conventionally drawn on the horizontal axis, and imaginary numbers on the vertical axis. The imaginary unit or unit imaginary number ( i) is a solution to the quadratic equation x2 + 1 = 0. Although there is no real number with this property, i can be used to extend the real numbers to ...

  7. Unit (ring theory) - Wikipedia

    en.wikipedia.org/wiki/Unit_(ring_theory)

    Unit (ring theory) In algebra, a unit or invertible element [a] of a ring is an invertible element for the multiplication of the ring. That is, an element u of a ring R is a unit if there exists v in R such that. where 1 is the multiplicative identity; the element v is unique for this property and is called the multiplicative inverse of u.

  8. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    Arithmetic is the fundamental branch of mathematics that studies numbers and their operations. In particular, it deals with numerical calculations using the arithmetic operations of addition, subtraction, multiplication, and division. [1] In a wider sense, it also includes exponentiation, extraction of roots, and logarithm. [2]

  9. Chinese mathematics - Wikipedia

    en.wikipedia.org/wiki/Chinese_mathematics

    Mathematics emerged independently in China by the 11th century BCE. [1] The Chinese independently developed a real number system that includes significantly large and negative numbers, more than one numeral system ( binary and decimal ), algebra, geometry, number theory and trigonometry . Since the Han dynasty, as diophantine approximation ...

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