Arithmetik - Number Theory

Number Theory

The term arithmetic also refers to number theory. This includes the properties of integers related to primality, divisibility, and the solution of equations in integers, as well as modern research that is an outgrowth of this study. It is in this context that one runs across the fundamental theorem of arithmetic and arithmetic functions. A Course in Arithmetic by Jean-Pierre Serre reflects this usage, as do such phrases such as first-order arithmetic or arithmetical algebraic geometry. Number theory is also referred to as the higher arithmetic, as in the title of Harold Davenport's book on the subject.

Read more about this topic:  Arithmetik

Famous quotes containing the words number and/or theory:

    As equality increases, so does the number of people struggling for predominance.
    Mason Cooley (b. 1927)

    The whole theory of modern education is radically unsound. Fortunately in England, at any rate, education produces no effect whatsoever. If it did, it would prove a serious danger to the upper classes, and probably lead to acts of violence in Grosvenor Square.
    Oscar Wilde (1854–1900)