Pecahan berlanjut

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Dalam matematika, pecahan berlanjut adalah sebuah ekspresi yang didapat melalui proses iteratif mewakili bilangan sebagai jawaban dari bagian integernya.[1] Integer disebut koefisien dari pecahan berlanjut.[2]

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Referensi[sunting | sunting sumber]

  • Siebeck, H. (1846). "Ueber periodische Kettenbrüche". J. Reine Angew. Math. 33. hlm. 68–70. 
  • Heilermann, J. B. H. (1846). "Ueber die Verwandlung von Reihen in Kettenbrüche". J. Reine Angew. Math. 33. hlm. 174–188. 
  • Magnus, Arne (1962). "Continued fractions associated with the Padé Table". Math. Z. 78. hlm. 361–374. 
  • Chen, Chen-Fan; Shieh, Leang-San (1969). "Continued fraction inversion by Routh's Algorithm". IEEE Trans. Circuit Theory. 16 (2). hlm. 197–202. doi:10.1109/TCT.1969.1082925. 
  • Gragg, William B. (1974). "Matrix interpretations and applications of the continued fraction algorithm". Rocky Mount. J. Math. 4 (2). hlm. 213. doi:10.1216/RJM-1974-4-2-213. 
  • Jones, William B.; Thron, W. J. (1980). Continued Fractions: Analytic Theory and Applications. Encyclopedia of Mathematics and its Applications. 11. Reading. Massachusetts: Addison-Wesley Publishing Company. ISBN 0-201-13510-8. 
  • Khinchin, A. Ya. (1964) [Originally published in Russian, 1935]. Continued Fractions. University of Chicago Press. ISBN 0-486-69630-8. 
  • Long, Calvin T. (1972), Elementary Introduction to Number Theory (edisi ke-2nd), Lexington: D. C. Heath and Company, LCCN 77-171950 
  • Perron, Oskar (1950). Die Lehre von den Kettenbrüchen. New York, NY: Chelsea Publishing Company. 
  • Pettofrezzo, Anthony J.; Byrkit, Donald R. (1970), Elements of Number Theory, Englewood Cliffs: Prentice Hall, LCCN 77-81766 
  • Rockett, Andrew M.; Szüsz, Peter (1992). Continued Fractions. World Scientific Press. ISBN 981-02-1047-7. 
  • H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Company, Inc., 1948 ISBN 0-8284-0207-8
  • Cuyt, A.; Brevik Petersen, V.; Verdonk, B.; Waadeland, H.; Jones, W. B. (2008). Handbook of Continued fractions for Special functions. Springer Verlag. ISBN 978-1-4020-6948-2. 
  • Rieger, G. J. (1982). "A new approach to the real numbers (motivated by continued fractions)". Abh. Braunschweig.Wiss. Ges. 33. hlm. 205–217. 

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