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Università degli Studi di Parma Università degli Studi di Parma
Degree course in
Mathematics
Università degli Studi di Parma
Department of Mathematical, Physical and Computer Sciences

CONTINUED FRACTIONS
cod. 1011679

Academic year 2024/25
2° year of course - First semester
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
Print

Learning objectives


Basic theory of the continued fractions

Prerequisites

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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

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2030 agenda goals for sustainable development

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Contacts

Toll-free number

800 904 084

Student registry office

E. segreteria.scienze@unipr.it
T. +39 0521 905116

Quality assurance office

Education manager
dott.ssa Giulia Bonamartini
T. +39 0521 906968
E. servizio smfi.didattica@unipr.it
E. del manager giulia.bonamartini@unipr.it

President of the degree course

Prof. Luca Lorenzi
E. luca.lorenzi@unipr.it

Faculty advisor

Prof. Luca Lorenzi
E. luca.lorenzi@unipr.it

Career guidance delegate

Prof. Francesco Morandin
E. francesco.morandin@unipr.it

Tutor Professors

Prof. Emilio Acerbi
E. emilio.acerbi@unipr.it

Prof. Marino Belloni
E. marino.belloni@unipr.it

Prof.ssa Maria Groppi
E. maria.groppi@unipr.it

Prof.ssa Chiara Guardasoni
E. chiara.guardasoni@unipr.it

Prof. Luca Lorenzi
E. luca.lorenzi@unipr.it

Prof. Costantino Medori
E. costantino.medori@unipr.it

Prof. Adriano Tomassini
E. adriano.tomassini@unipr.it

Erasmus delegates

Prof.ssa Fiorenza Morini
E. fiorenza.morini@unipr.it

Quality assurance manager

Prof.ssa Maria Groppi
E. maria.groppi@unipr.it

Tutor students

Dott. Matteo Mezzadri
E. matteo.mezzadri@studenti.unipr.it