Linear function

In mathematics, the term linear function refers to two distinct but related notions:[1]

  • In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.[2] For distinguishing such a linear function from the other concept, the term affine function is often used.[3]
  • In linear algebra, mathematical analysis,[4] and functional analysis, a linear function is a linear map.[5]
  1. ^ "The term linear function means a linear form in some textbooks and an affine function in others." Vaserstein 2006, p. 50-1
  2. ^ Stewart 2012, p. 23
  3. ^ A. Kurosh (1975). Higher Algebra. Mir Publishers. p. 214.
  4. ^ T. M. Apostol (1981). Mathematical Analysis. Addison-Wesley. p. 345.
  5. ^ Shores 2007, p. 71
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