## Oral Session 12

### Historical Development and Applications of Continued Fractions

CSU 204

#### Start Date

21-4-2014 2:10 PM

#### End Date

21-4-2014 3:10 PM

#### Student's Major

Mathematics and Statistics

#### Student's College

Science, Engineering and Technology

#### Mentor's Name

Namyong Lee

namyong.lee@mnsu.edu

#### Mentor's Department

Mathematics and Statistics

#### Mentor's College

Science, Engineering and Technology

#### Description

Continued Fraction is origin back about two thousand years ago, but it was officially named in 1695, by John Wallis. During the seventeenth centuries, Continued Fraction were studied by many great mathematicians. It has been used in many different mathematical fields, such as, number theory, series and recursion, approximation theory, and theory of probability, to name a few. Even though Continued Fraction is not covered in typical undergraduate curriculum in mathematics, it has many fascinating properties and it has wonderful series of applications. In this research, we surveyed the topic through many different classic literature. Especially we have focused some applications of Continued Fractions, including the modern calendar system, some mechanical design, and solving the Diophantine equations.

#### Share

COinS

Apr 21st, 2:10 PM Apr 21st, 3:10 PM

Historical Development and Applications of Continued Fractions

CSU 204

Continued Fraction is origin back about two thousand years ago, but it was officially named in 1695, by John Wallis. During the seventeenth centuries, Continued Fraction were studied by many great mathematicians. It has been used in many different mathematical fields, such as, number theory, series and recursion, approximation theory, and theory of probability, to name a few. Even though Continued Fraction is not covered in typical undergraduate curriculum in mathematics, it has many fascinating properties and it has wonderful series of applications. In this research, we surveyed the topic through many different classic literature. Especially we have focused some applications of Continued Fractions, including the modern calendar system, some mechanical design, and solving the Diophantine equations.

#### Recommended Citation

Zheng, Nan. "Historical Development and Applications of Continued Fractions." Undergraduate Research Symposium, Mankato, MN, April 21, 2014.
https://cornerstone.lib.mnsu.edu/urs/2014/oral_session_12/2