Arithmetic
The branch of mathematics dealing with Integers or, more generally, numerical computation. Arithmetical operations include Addition, Congruence calculation, Division, Factorization,Multiplication, Power computation, Root extraction, and Subtraction.
The Fundamental Theorem of Arithmetic, also called the Unique Factorization Theorem, states that anyPositive Integer can be represented in exactly one way as a Product of Primes.
The Löwenheim-Skolem Theorem, which is a fundamental result in Model Theory,establishes the existence of ``nonstandard'' models of arithmetic.
See also Algebra, Calculus, Fundamental Theorem of Arithmetic, Group Theory, Higher Arithmetic,Linear Algebra, Löwenheim-Skolem Theorem, Model Theory, NumberTheory, Trigonometry
References
Karpinski, L. C. The History of Arithmetic. Chicago, IL: Rand, McNally, & Co., 1925. Maxfield, J. E. and Maxfield, M. W. Abstract Algebra and Solution by Radicals. Philadelphia, PA: Saunders, 1992. Thompson, J. E. Arithmetic for the Practical Man. New York: Van Nostrand Reinhold, 1973.
Arithmetic
- Condon-Shortley Phase
- Conductor
- Cone
- Cone Graph
- Cone Net
- Cone (Space)
- Cone-Sphere Intersection
- Confidence Interval
- Configuration
- Confluent Hypergeometric Differential Equation
- Confluent Hypergeometric Function
- Confluent Hypergeometric Function of the First Kind
- Confluent Hypergeometric Function of the Second Kind
- Confluent Hypergeometric Limit Function
- Confocal Conics
- Confocal Ellipsoidal Coordinates
- Confocal Parabolic Coordinates
- Confocal Paraboloidal Coordinates
- Conformal Latitude
- Conformal Map
- Conformal Solution
- Conformal Tensor
- Conformal Transformation
- Congruence
- Congruence Axioms