由左至右: James Joseph Sylvester, who introduced the words matrix, discriminant, invariant, totient, and Jacobian;Gottfried Wilhelm Leibniz, who introduced the words variable, constant, function, abscissa, parameter, coordinate and perhaps derivative;Ren? Descartes, who introduced the terms real number and imaginary number; Sir William Rowan Hamilton, who introduced the terms vector, scalar, tensor, associative, and quaternion; and John Wallis, who introduced the terms induction, interpolation, continued fraction, mantissa, and hypergeometric series.These pages attempt to show the first uses of various words used in mathematics. Research for these pages is ongoing, and the uses cited should not be assumed to be the first uses that occurred unless it is stated that the term was introduced or coined by the mathematician named. If you are able antedate any of the entries herein, please contact 陳坤松, a teacher 台北縣金山完全中學數學教師. See also 早期數學符號的歷史.
Abbreviations: OED2 refers to the Oxford English Dictionary, Second Edition; MWCD10 is Merriam-Webster's Collegiate Dictionary, Tenth Edition; RHUD2 refers to the Random House Dictionary of the English Language, Second Edition Unabridged. If the earliest use of a word known to Webster is its appearance in a dictionary, the date is preceded by "ca."; in those cases, it can be assumed earlier uses of those words exist.