The Fibonacci sequence and the circular constant

摘要

In our diploma thesis we discuss Fibonacci numbers or Fibonacci sequence. We're establishing the recursive formula of the sequence and proving some of its fine characteristics. We're introducing the connection between Fibonacci numbers and Golden Ratio and deriving a formula. In the second part of our thesis we're discussing the history of calculating the circular constant and suitable formulas by some mathematicians, which were active in the same area. In continuation, we're demonstrating the usefulness of calculating with circular constant with various number of decimal places. In the central part we're also demonstrating and proving the connection between Fibonacci numbers and circular constant.