Gottfried Wilhelm Leibniz (1646–1716) was a German philosopher and mathematician.

In engineering, the following concepts are attributed to Leibniz:

  • Leibniz wheel, a cylinder used in a class of mechanical calculators
  • Leibniz calculator, a digital mechanical calculator based on the Leibniz wheel

In mathematics, several results and concepts are named after Leibniz:

  • Leibniz algebra, an algebraic structure
  • Dual Leibniz algebra
  • Madhava–Leibniz series
  • Leibniz formula for π, an inefficient method for calculating π
  • Leibniz formula for determinants, an expression for the determinant of a matrix
  • Leibniz harmonic triangle
  • Leibniz integral rule, a rule for differentiation under the integral sign
  • Leibniz–Reynolds transport theorem, a generalization of the Leibniz integral rule
  • Leibniz's linear differential equation, a first-order, linear, inhomogeneous differential equation
  • Leibniz's notation, a notation in calculus
  • Leibniz operator, a concept in abstract logic
  • Leibniz law, see product rule of calculus
  • Leibniz rule, a formula used to find the derivatives of products of two or more functions
  • General Leibniz rule, a generalization of the product rule
  • Leibniz's test, also known as Leibniz's rule or Leibniz's criterion
  • Newton–Leibniz axiom

In philosophy, the following concepts are attributed to Leibniz:

  • Leibniz's gap, a problem in the philosophy of mind
  • Leibniz's law, an ontological principle about objects' properties

Additionally, the following are named after Leibniz:

  • 5149 Leibniz, an asteroid
  • Gottfried Wilhelm Leibniz Bibliothek in Hanover, Germany
  • Gottfried Wilhelm Leibniz Prize, a German research prize
  • Leibnitz, a lunar crater
  • The Leibniz Association, a union of German research institutes
  • The Leibniz Review, a peer-reviewed academic journal devoted to scholarly examination of Gottfried Leibniz's thought and work
  • Leibniz University of Hannover, a German university
  • Leibniz Institute of Agricultural Development in Transition Economies, a research institute located in Halle (Saale)
  • Leibniz Institute for Astrophysics Potsdam, a German research institute in the area of astrophysics
  • Leibniz institute for molecular pharmacology, a research institute in the Leibniz Association
  • Leibniz Institute for Science and Mathematics Education at the University of Kiel, a scientific institute in the field of Education Research
  • Leibniz Institute for Solid State and Materials Research, a research institute in the Leibniz Association
  • Leibniz Society of North America, a philosophical society whose purpose is to promote the study of the philosophy of Gottfried Wilhelm Leibniz
  • Leibniz-Keks, a German brand of biscuit, although the only connection is that Leibniz lived in Hannover, where the manufacturer is based.
  • Leibniz–Clarke correspondence, Leibniz' debate with the English philosopher Samuel Clarke
  • Leibniz–Newton calculus controversy, the debate over whether Leibniz or Isaac Newton invented calculus

References