In this article, we will show that the Pythagorean approximations of Formula coincide with those achieved in the 16th century by means of continued fractions. Assuming this fact and the known relation that connects the Fibonacci sequence with the golden section, we shall establish a procedure to obtain sequences of rational numbers converging to different algebraic irrationals. We will see how approximations to some irrational numbers, using known facts from the history of mathematics, may perhaps help to acquire a better comprehension of the real numbers and their properties at further mathematics level.
- Looking forward to last day (for me) of the EML 2018 with @deborah_ball. What a wonderful opportunity to study, dis… twitter.com/i/web/status/1… 2 months ago
- RT @A2SchoolsSuper: We ❤️ #TreeTown @A2schools #InspireA2 #A2gether Ann Arbor named best place to live in America - again https://t.co/yRrH… 9 months ago
- RT @SpringerEdu: Teachers’ talk about the mathematical practice of attending to precision link.springer.com/article/10.100… 9 months ago
- RT @SpringerEdu: RT @authorzone: Discover what English-language #SpringerNature books topped 2017’s list in downloads, citations, and menti… 9 months ago
- Sharing some thoughts about the process of settling down in Ann Arbor. #Sabbatical fulbright.no/grantee-experi… 1 year ago