1.

Record Nr.

UNINA9910465727303321

Autore

Olds C. D (Carl Douglas), <1912-1979.>

Titolo

Continued fractions [[electronic resource] /] / by C. D. Olds

Pubbl/distr/stampa

Washington, D.C., : Mathematical Association of America, 1963

ISBN

0-88385-926-2

Descrizione fisica

1 online resource (viii, 162 pages) : digital, PDF file(s)

Collana

Anneli Lax New Mathematical Library ; ; no. 9

Disciplina

512.73

Soggetti

Continued fractions

Series

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Expansion of rational fractions -- Diophantine equations -- Expansion of irrational numbers -- Periodic continued fractions -- Epilogue.

Sommario/riassunto

Continued fractions were studied by the great mathematicians of the seventeenth and eighteenth centuries and are a subject of active investigation today. Fractions of this form provide much insight into many mathematical problems — particularly into the nature of numbers — and the theory of continued fractions is a powerful tool in number theory and other mathematical disciplines. The author of this book presents an easy-going discussion of simple continued fractions, beginning with an account of how rational fractions can be expanded into continued fractions. Gradually the reader is introduced to such topics as the application of continued fractions to the solution of Diophantine equations, and the expansion of irrational numbers into infinite continued fractions.