Methodus Incrementorum Directa et Inversa

Brook Taylor's Methodus Incrementorum Directa et Inversa, published in 1715, introduced a new branch of mathematics known as the calculus of finite differences. This work also presented Taylor's theorem, a fundamental formula in differential calculus. The theorem provides a way to express a function as an infinite sum of terms, calculated from the function's derivatives at a single point. This concept is crucial for approximating functions and understanding their behavior. Taylor's theorem has broad applications in various fields of mathematics and science.123