Laurence Sigler, "Fibonacci's Liber Abaci: A Translation Into Modern English of Leonardo Pisano's Book of Calculation", Sources and Studies in the History of Mathematics and Physical Sciences, Springer (2003) ISBN 7. The Fibonacci and Lucas numbers are the Lucas sequences of the first and second kind respectively for the parameters $P=1$, $Q=1$.įor a translation of the Liber Abaci, see : the sequence is defined in Chapter 12. They have a close connection with the Fibonacci numbers and similar addition and multiplication formulae, many of which may be derived from the formulae The elements of the sequence $u_1,u_2,\ldots$ are given by the initial values $u_1 = u_2 = 1$ and the recurrence relation $u_$. Save up to 80 versus print by going digital with VitalSource. 2010 Mathematics Subject Classification: Primary: 11B39 Ī recursive sequence of integers in which each term is the sum of the two preceding. Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo Pisano’s Book of Calculation is written by Laurence Sigler and published by Springer.
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