Approximation by Algebraic Numbers
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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.
Copyright year: 2007
Publisher: Cambridge University Press
Publication date: 12/3/2007
Size: 6.00" wide x 9.00" long x 0.75" tall
|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|