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The character ∂ (html element: ∂ or ∂, unicode: U+2202) or is a stylized d mainly used as a mathematical symbol to denote a partial derivative such as (read as "the partial derivative of z with respect to x"). The symbol was originally introduced by Legendre in 1786, but only gained popularity when it was used by Jacobi in 1841.
∂ is also used to denote the following:
- The Jacobian, .
- The boundary of a set in topology.
- The boundary operator on a chain complex in homological algebra.
- The boundary operator of a differential graded algebra.
- The Dolbeault operator on complex differential forms.
The lowercase Cyrillic De can look similar.
- Aldrich, John. "Earliest Uses of Symbols of Calculus". Retrieved 16 January 2014.
- Bhardwaj, R.S. (2005), Mathematics for Economics & Business (2nd ed.), p. 6.4
- Silverman, Richard A. (1989), Essential Calculus: With Applications, p. 216
- Pemberton, Malcolm; Rau, Nicholas (2011), Mathematics for Economists: An Introductory Textbook, p. 271
- Bowman, Elizabeth (2014), Video Lecture for University of Alabama in Huntsville
- Gokhale, Mujumdar, Kulkarni, Singh, Atal, Engineering Mathematics I, p. 10.2, Nirali Prakashan ISBN 8190693549.