14 Certain Applications on Number Theory
“Mathematics is the language of nature.”
–Leonardo Fibonacci
14.1 Fibonacci Numbers
The word Fibonacci is coined after the mathematician Leonardo Fibonacci, who in the 12th century, get obstructed while studying a curious problem. Fibonacci started with a pair of fictional and slightly unbelievable baby rabbits, a baby boy rabbit and a baby girl rabbit. After one month, they were fully grown and in the next month two more baby rabbits (again a boy and a girl) were born. The succeeding month these babies were fully grown and the first pair had two more baby rabbits (again, a boy and a girl). By similar manner, the next month the two adult pairs each have a pair of baby rabbits and the babies from last ...
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