Divergence | Limit, Series, Integral | Britannica (original) (raw)

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External Websites

• California State University San Marcos - Math Lab - Testing for Convergence or Divergence of a Series
• Whitman College - Divergence and Curl
• The University of Arizona - College of Science - Department of Mathematics - Divergent Series: why 1 + 2 + 3 + · · · = −1/12
• CORE - Centers: their integrability and relations with the divergence
• Story of Mathematics - Divergence of a Vector Field – Definition, Formula, and Examples
• OpenStax - Calculus Volume 3 - Divergence and Curl
• Khan Academy - Divergence
• University of Washington Libraries - Physics Across Oceanography: Fluid Mechanics and Waves - The Divergence Theorem
• University of California, Irvine - Department of Mathematics - Curl and Divergence
• Wolfram MathWorld - Divergence

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Last Updated: Jan 11, 2025• Article History

Key People:

James Gregory

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sequence

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divergence, In mathematics, a differential operator applied to a three-dimensional vector-valued function. The result is a function that describes a rate of change. The divergence of a vector v is given by in which v1, v2, and v3 are the vector components of v, typically a velocity field of fluid flow.

This article was most recently revised and updated by William L. Hosch.