Approximations of irrationalities by using linear recurrent sequences

Language: English

Published by LAP LAMBERT Academic Publishing Okt 2013, 2013

3659479691 / 9783659479694

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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Softcover

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This item is printed on demand - it takes 3-4 days longer - Neuware -The book is devoted to the approximation and periodic representation of algebraic numbers, like quadratic and cubic irrationalities. Continued fractions surely provide rational approximations and periodic representation for quadratic irrationals. Here, new kinds of representation for square roots are exploited with the aid of linear recurrent sequences. A beautiful connection with the solution of the Pell equation is highlighted, finding an original way to solve it through a group structure over the Pell hyperbola. Moreover, similar results are obtained and illustrated for cubic irrationals, approaching the Hermite problem, i.e., the problem of finding a way to write algebraic numbers (irrational numbers that are solution of some algebraic equation with rational coefficients) as a periodic sequence of integers. 68 pp. Englisch.

Seller Inventory # 9783659479694

Title
Approximations of irrationalities by using linear recurrent sequences
Author
Nadir Murru
Publisher
LAP LAMBERT Academic Publishing Okt 2013
Publication year
2013
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3659479691
ISBN 13
9783659479694
Item weight
119 grams
Dimensions
220x150x5 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

Germany