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Series

Explore Series on MathWorld


In mathematics, a series is an (often infinite) sum of terms specified by some rule.

Series is a middle school-level concept. It is an Advanced Placement Calculus BC topic and is listed in the California State Standards for Calculus.

Examples

Arithmetic Series: An arithmetic series is a series in which the difference between any two consecutive terms is a constant.
Bessel Function of the First Kind: A Bessel function of the first kind is a solution to a particular nonlinear second-order differential equation. Bessel functions appear in many physics applications when solving classical partial differential equations in cylindrical coordinates.
Geometric Series: A geometric series is a series in which the ratio of any two consecutive terms is always the same.
Power Series: A power series is a sum of powers of a variable. A power series is essentially an infinite polynomial.
Riemann Zeta Function: The Riemann zeta function is a special function of mathematics and physics that is intimately related to deep results surrounding the prime number theorem.
Taylor Series: A Taylor series is a power series of a function around a given point.

Classroom Articles on Pre-Algebra (Up to Middle School Level)

  • Absolute Value
  • Line
  • Arithmetic
  • Origin
  • Associative
  • Polynomial
  • Base
  • Power
  • Cartesian Coordinates
  • Prime Factor
  • Commutative
  • Prime Factorization
  • Decimal Expansion
  • Prime Number
  • Distributive
  • Pythagorean Theorem
  • Divisor
  • Quotient
  • Equal
  • Real Line
  • Factorial
  • Real Number
  • Fraction
  • Relatively Prime
  • Function Graph
  • Right Angle
  • Greatest Common Divisor
  • Rounding
  • Integer
  • Sequence
  • Intersection
  • Set
  • Interval
  • Square Number
  • Irrational Number
  • Square Root
  • Least Common Multiple