James Gregory, a Scottish mathematician, worked in this area in the 1600s. Gregory studied the Taylor series and published several Maclaurin series. In 1715, Brook Taylor discovered a general method for applying the series to all functions. (All of the previous research showed how to apply the method to only specific functions.) published a special case of the Taylor series in the 1700s. This series, which is based around zero, is called the "Maclaurin series".
d̠ʒ eɪ m z WORD_BOUNDARY ɡ ɹ ɛ ɡ ə ɹ ɹ i WORD_BOUNDARY ʌ WORD_BOUNDARY s k ɑ t ɪ ʃ WORD_BOUNDARY m æ θ ɪ m ʌ t ɪ ʃ ə n WORD_BOUNDARY w ɜː k t WORD_BOUNDARY ɪ n WORD_BOUNDARY ð ɪ s WORD_BOUNDARY ɛ ɹ iə WORD_BOUNDARY ɪ n ð ə WORD_BOUNDARY w ʌ n WORD_BOUNDARY θ aʊ z ə n d WORD_BOUNDARY s ɪ k s h ʌ n d ɹ ɪ d WORD_BOUNDARY z WORD_BOUNDARY ɡ ɹ ɛ ɡ ə ɹ ɹ i WORD_BOUNDARY s t ʌ d i d WORD_BOUNDARY ð ə WORD_BOUNDARY t eɪ l ə ɹ WORD_BOUNDARY s ɪ ɹ i z WORD_BOUNDARY æ n d WORD_BOUNDARY p ʌ b l ɪ ʃ t WORD_BOUNDARY s ɛ v ɹ ə l WORD_BOUNDARY m ə k l ɔ ɹ ɪ n WORD_BOUNDARY s ɪ ɹ i z WORD_BOUNDARY ɪ n WORD_BOUNDARY w ʌ n WORD_BOUNDARY θ aʊ z ə n d WORD_BOUNDARY s ɛ v ə n h ʌ n d ɹ ɪ d WORD_BOUNDARY f ɪ f t iː n WORD_BOUNDARY b ɹ ʊ k WORD_BOUNDARY t eɪ l ə ɹ WORD_BOUNDARY d ɪ s k ʌ v ə ɹ d WORD_BOUNDARY ʌ WORD_BOUNDARY d̠ʒ ɛ n ə ɹ ɹ ə l WORD_BOUNDARY m ɛ θ ə d WORD_BOUNDARY f ɔ ɹ WORD_BOUNDARY ʌ p l aɪ ɪ ŋ WORD_BOUNDARY ð ə WORD_BOUNDARY s ɪ ɹ i z WORD_BOUNDARY t ʊ WORD_BOUNDARY ɔ l WORD_BOUNDARY f ʌ ŋ k ʃ ə n z WORD_BOUNDARY ɔ l WORD_BOUNDARY ʌ v ð ə WORD_BOUNDARY p ɹ iː v iə s WORD_BOUNDARY ɹ ɪ s ɜː t̠ʃ WORD_BOUNDARY ʃ oʊ d WORD_BOUNDARY h aʊ WORD_BOUNDARY t ʊ WORD_BOUNDARY ʌ p l aɪ WORD_BOUNDARY ð ə WORD_BOUNDARY m ɛ θ ə d WORD_BOUNDARY t ʊ WORD_BOUNDARY oʊ n l i WORD_BOUNDARY s p ə s ɪ f ɪ k WORD_BOUNDARY f ʌ ŋ k ʃ ə n z WORD_BOUNDARY p ʌ b l ɪ ʃ t WORD_BOUNDARY ʌ WORD_BOUNDARY s p ɛ ʃ ə l WORD_BOUNDARY k eɪ s WORD_BOUNDARY ʌ v ð ə WORD_BOUNDARY t eɪ l ə ɹ WORD_BOUNDARY s ɪ ɹ i z WORD_BOUNDARY ɪ n ð ə WORD_BOUNDARY w ʌ n WORD_BOUNDARY θ aʊ z ə n d WORD_BOUNDARY s ɛ v ə n h ʌ n d ɹ ɪ d WORD_BOUNDARY z WORD_BOUNDARY ð ɪ s WORD_BOUNDARY s ɪ ɹ i z WORD_BOUNDARY w ɪ t̠ʃ WORD_BOUNDARY ɪ z WORD_BOUNDARY b eɪ s t WORD_BOUNDARY ə ɹ ɹ aʊ n d WORD_BOUNDARY z iə ɹ oʊ WORD_BOUNDARY ɪ z WORD_BOUNDARY k ɔ l d WORD_BOUNDARY ð ə WORD_BOUNDARY m ə k l ɔ ɹ ɪ n WORD_BOUNDARY s ɪ ɹ i z WORD_BOUNDARY