Although Wallis formula has no direct influence on the approximate calculation of π, it plays an important role in the derivation of Stirling formula. ?
Mathematical formulas express the equal or unequal relationship between the quantities of different things in nature, accurately reflect the internal and external relations of things, and are the basis for us to reach another thing from one thing, so as to better understand the essence and connotation of things.
The function of mathematical formula
Formulas are important contents in mathematics, and each formula has its own characteristics and functions. How to teach formula derivation well is an important subject in mathematics teaching. The derivation of the formula is a process from known to unknown. In particular, the derivation process of some typical formulas is permeated with various basic mathematical ideas and methods, which represents a mathematical problem-solving method.
We are firmly opposed to simply throwing the formula to students without studying the derivation process of the formula, so that students can learn it by rote. Let's take the teaching of the general formula of geometric series and the derivation of the first n formulas as an example to talk about the importance and necessity of attaching importance to the derivation of formulas.
Formula is a mathematical formula that expresses the relationship between various quantities. Because the relationship between many quantities is fixed, these mathematical formulas are obtained by summarizing.