
Number theory | Definition, Topics, & History | Britannica
Nov 20, 2025 · Number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Modern number theory is a broad subject that is classified into …
Mathematics - Number Theory, Algorithms, Equations | Britannica
Nov 11, 2025 · Mathematics - Number Theory, Algorithms, Equations: Although Euclid handed down a precedent for number theory in Books VII–IX of the Elements, later writers made no …
Riemann hypothesis | Prime Numbers, Zeta Function & Complex …
Nov 6, 2025 · number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Sometimes called “higher arithmetic,” it is among the oldest and most …
Set theory | Symbols, Examples, & Formulas | Britannica
Oct 30, 2025 · Set theory, branch of mathematics that deals with the properties of well-defined collections of objects such as numbers or functions. The theory is valuable as a basis for …
Euclidean algorithm | Algorithm, Division & GCD | Britannica
Sep 16, 2025 · number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Sometimes called “higher arithmetic,” it is among the oldest and most …
Probability theory | Definition, Examples, & Facts | Britannica
Oct 16, 2025 · Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it …
Joseph Liouville | French Mathematician & Analytical Number …
number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Sometimes called “higher arithmetic,” it is among the oldest and most natural of …
Algebra - Group Theory, Applications, Math | Britannica
Oct 24, 2025 · Number theory The notion of a group also started to appear prominently in number theory in the 19th century, especially in Gauss’s work on modular arithmetic.
Algebra - Equations, Polynomials, Groups | Britannica
Oct 24, 2025 · Some other fundamental concepts of modern algebra also had their origin in 19th-century work on number theory, particularly in connection with attempts to generalize the …
Pafnuty Chebyshev | Number Theory, Probability Theory
Dec 4, 2025 · number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Sometimes called “higher arithmetic,” it is among the oldest and most …