By Antoine Chambert-Loir
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Algebraic numbers can approximate and classify any actual quantity. the following, the writer gathers jointly effects approximately such approximations and classifications. Written for a vast viewers, the booklet is out there and self-contained, with whole and distinct proofs. ranging from persevered fractions and Khintchine's theorem, Bugeaud introduces numerous ideas, starting from particular buildings to metric quantity conception, together with the speculation of Hausdorff measurement.
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A Field Guide to Algebra (Undergraduate Texts in Mathematics) by Antoine Chambert-Loir