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Transformation ○꠹｜Definition｜1st｜20251119205401-00-⌔

Transformation (function) - Wikipedia

Transformation (function)

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In mathematics, a transformation, transform, or self-map1 is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X.234 Examples include linear transformations of vector spaces and geometric transformations, which include projective transformations, affine transformations, and specific affine transformations, such as rotations, reflections and translations.56

Printed 2026-06-28.

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Footnotes

  1. “Self-Map — from Wolfram MathWorld”. Retrieved March 4, 2024. ↩

  2. Olexandr Ganyushkin; Volodymyr Mazorchuk (2008). Classical Finite Transformation Semigroups: An Introduction. Springer Science & Business Media. p. 1. ISBN 978-1-84800-281-4. ↩

  3. Pierre A. Grillet (1995). Semigroups: An Introduction to the Structure Theory. CRC Press. p. 2. ISBN 978-0-8247-9662-4. ↩

  4. Wilkinson, Leland (2005). The Grammar of Graphics (2nd ed.). Springer. p. 29. ISBN 978-0-387-24544-7. ↩

  5. “Transformations”. www.mathsisfun.com. Retrieved 2019-12-13. ↩

  6. “Types of Transformations in Math”. Basic-mathematics.com. Retrieved 2019-12-13. ↩

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