# Approximation by Algebraic Numbers.

0521823293

Approximation by algebraic numbers.

Bugeaud, Yann.

Cambridge U. Pr.

2004

274 pages

$70.00

Hardcover

Cambridge tracts in mathematics; 160

QA221

Bugeaud (Universite Louis Pasteur) surveys recent results on algebraic approximations and classifications. Starting from continued fractions and Khintchine's theorem, he introduces a variety of techniques, ranging from explicit constructions to metric number theory. The reader is led to advanced results such as the proof of Mahler's conjecture on S-numbers. Brief consideration is given to the p-adic and the formal power series cases. Some 40 exercises are included. The book can be used for a graduate course on Diophantine approximation, or as an introduction for non-experts. Specialists will appreciate the collection of 50 open problems.

([c] 2005 Book News, Inc., Portland, OR)

Approximation by algebraic numbers.

Bugeaud, Yann.

Cambridge U. Pr.

2004

274 pages

$70.00

Hardcover

Cambridge tracts in mathematics; 160

QA221

Bugeaud (Universite Louis Pasteur) surveys recent results on algebraic approximations and classifications. Starting from continued fractions and Khintchine's theorem, he introduces a variety of techniques, ranging from explicit constructions to metric number theory. The reader is led to advanced results such as the proof of Mahler's conjecture on S-numbers. Brief consideration is given to the p-adic and the formal power series cases. Some 40 exercises are included. The book can be used for a graduate course on Diophantine approximation, or as an introduction for non-experts. Specialists will appreciate the collection of 50 open problems.

([c] 2005 Book News, Inc., Portland, OR)

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Publication: | SciTech Book News |
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Article Type: | Book Review |

Date: | Dec 1, 2005 |

Words: | 123 |

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