Mathematics, Charles Hermite, Real number, Natural number, Irrational number, Decimal representation
Dign Press
(2011-12-24
)
eligible for voucher
ISBN-13:
978-620-0-11235-4
ISBN-10:
6200112355
EAN:
9786200112354
Book language:
English
Blurb/Shorttext:
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Hermite's problem is an open problem in mathematics posed by Charles Hermite in 1848. He asked for a way of expressing real numbers as sequences of natural numbers, such that the sequence is eventually periodic precisely when the original number is a cubic irrational. If x is a rational number then the sequence (an) terminates after finitely many terms. On the other hand, Euler proved that irrational numbers require an infinite sequence to express them as continued fractions.