- Abstract Algebra (3)
- Representation Theory (1)
- Ring Theory
- Algebra (51)
- Algebraic Geometry (2)
- Analytic Geometry (1)
- Applied Mathematics (202)
- Arithmetic (6)
- Calculus (112)
- Differential Calculus (69)
- Differential Equations (41)
- Integral Calculus (64)
- Limits (19)
- Multivariable Calculus (131)
- Precalculus (3)
- Tensor Calculus (1)
- Vector Calculus (1)
- Chaos Theory (1)
- Combinatorics (1)
- Polynomial Method (1)
- Complex Analysis (4)
- Complex Numbers
- Differential Geometry (3)
- Functional Analysis (2)
- Geometry (5)
- Fractals
- Non-Euclidean Geometry (2)
- Group Theory
- Lie Groups (2)
- History of Math (59)
- Linear Algebra (6)
- Mathematical Logic
- Set Theory (1)
- Mathematical Modeling
- Mathematics Education (11)
- Number Theory (1)
- Elliptic Curves (1)
- Quaternions
- Numerical Analysis (2)
- Partial Differential Equations (5)
- Probability (41)
- Queueing Theory
- Stochastic Process (2)
- Real Analysis (5)
- Recreational Mathematics
- Math Games
- Math Puzzles
- SAT Math (52)
- Statistics (49)
- Linear Models
- Stochastic Calculus
- Topology (5)
- K-theory (1)
- Point-Set Topology
- Trigonometry (18)

# Topics: Number Theory

### Number Theory

Number theory or, in older usage, arithmetic is a branch of pure mathematics devoted primarily to the study of the integers. It is sometimes called "The Queen of Mathematics" because of its foundational place in the discipline. Number theorists study prime numbers as well as the properties of objects made out of integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers).Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of analytical objects (e.g., the Riemann zeta function) that encode properties of the integers, primes or other number-theoretic objects in some fashion (analytic number theory). One may also study real numbers in relation to rational numbers, e.g., as approximated by the latter (Diophantine approximation).

Leonhard Euler, one of the major pioneers of Number Theory

added 7 months ago
Start Course

added 7 months ago
Start Course

Showing 2 of 2 courses. See All