Mathematics | University of Parma

Professor: Alessandro ZACCAGNINI
Academic discipline: Analisi matematica (MAT/05)
Field: A scelta dello studente
Type of training activity: Student's choice

24 hours
of face-to-face activities

3 credits

hub:

course unit
in - - -

lectures timetable

exam calls

Learning objectives

Basic theory of the continued fractions

Prerequisites

- - -

Course unit content

Basic theory of the continued fractions

Full programme

Euclid's algorithm.
The continued fractions algorithm.
Partial quotients and convergents.
Recurrence relations of order 2.
Finite continued fractions.
Infinite continued fractions and approximation of real numbers.
Periodic continued fractions and Lagrange's theorem.
The continued fraction of Neper's number e

Bibliography

C. D. Olds, Continued Fractions, The Mathematical Association of America, Washington, 1963

G. H. Hardy & E. M. Wright, An Introduction to the Theory of Numbers, Oxford University Press, Oxford,, 2008

Teaching methods

Standard lecture

Assessment methods and criteria

Standard oral exams or short lecture by the student

Other information