Math Trivia Questions › this question
Which mathematician introduced the letter i for the square root of minus one?
Leonhard Euler
Leonhard Euler introduced i as the symbol for the square root of minus one in the eighteenth century, and the notation stuck because it made an awkward idea easy to manipulate. Before that, such quantities were treated with suspicion, which is why Rene Descartes had labelled them imaginary as a dismissal. Euler took them seriously and used them freely, and his identity, which links e raised to the power of i times pi with minus one, ties together five of the most important constants in a single line. He was extraordinarily productive, and much of the notation students meet today is his: the function notation f of x, the symbol e for the base of natural logarithms, capital sigma for summation and the use of pi in its modern sense all trace back to him or were spread by his textbooks. Complex numbers turned out to be indispensable, especially in electrical engineering, signal processing and quantum mechanics.
Electrical engineers write j instead of i, because i is already taken by current.
Why the other answers are wrong
- Carl Gauss. Gauss did enormous work with complex numbers and gave the first widely accepted proof of the fundamental theorem of algebra, but adopted the existing symbol rather than coining it.
- Rene Descartes. Descartes coined the dismissive term imaginary and created coordinate geometry, but not the symbol.
- Isaac Newton. Newton's contributions were in mechanics, optics and calculus rather than complex number notation.
Play the math round
This question is one of 42 in the math set, which you can play as multiple choice, true or false, a 60-second sprint or the daily quiz. Math trivia Hard questions Daily quiz