The Taylor series is a mathematical tool that, sometimes, it is not easy to immediately grasp by freshman students. In this blog, I will give a short review of it giving some examples of applications.

**Who is Mr. Taylor?**

Brook Taylor (1685 – 1731) was a 17th-century British mathematician. He demonstrated the celebrated Taylor formula, the topics of this blog, in his masterwork *Methodus Incrementorum Directa et Inversa* (1715). For more information, just give a read to the following wiki page.