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Approximation by Algebraic Numbers

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ISBN-10: 0521045673

ISBN-13: 9780521045674

Edition: 2007

Authors: Yann Bugeaud

List price: $82.00
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Description:

Algebraic numbers can approximate and classify any real number. Bugeaud gathers together results about such approximations and classifications, introducing a variety of techniques, ranging from explicit constructions to metric number theory, including the theory of Hausdorff dimension.
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Book details

List price: $82.00
Copyright year: 2007
Publisher: Cambridge University Press
Publication date: 12/3/2007
Binding: Paperback
Pages: 292
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 0.880
Language: English

Preface
Frequently used notation
Approximation by rational numbers
Approximation to algebraic numbers
The classifications of Mahler and Koksma
Mahler-s Conjecture on S-numbers
Hausdorff dimension of exceptional sets
Deeper results on the measure of exceptional sets
On T-numbers and U-numbers
Other classifications of real and complex numbers
Approximation in other fields
Conjectures and open questions
Lemmas on polynomials
Geometry of numbers
References
Index