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Approximation by Algebraic Numbers.
~
Bugeaud, Yann.
Approximation by Algebraic Numbers.
Record Type:
Electronic resources : Monograph/item
Title/Author:
Approximation by Algebraic Numbers.
Author:
Bugeaud, Yann.
Published:
Leiden :Cambridge University Press,2004.
Description:
292 p.
Online resource:
Click here to view book
ISBN:
9780511542886 (electronic bk.)
Approximation by Algebraic Numbers.
Bugeaud, Yann.
Approximation by Algebraic Numbers.
[electronic resource]. - Leiden :Cambridge University Press,2004. - 292 p.
Cover; Half-title; Title; Copyright; Contents; Preface; Frequently used notation; 1 Approximation by rational numbers; 2 Approximation to algebraic numbers; 3 The classifications of Mahler and Koksma; 4 Mahler���� Conjecture on S-numbers; 5 Hausdorff dimension of exceptional sets; 6 Deeper results on the measureof exceptional sets; 7 On T -numbers and U-numbers; 8 Other classifications of real andcomplex numbers; 9 Approximation in other fields; 10 Conjectures and open questions; Appendix A Lemmas on polynomials; Appendix B Geometry of numbers; References; Index
An accessible and broad account of the approximation and classification of real numbers suited for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the comprehensive list of more than 600 references.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511542886 (electronic bk.)Index Terms--Genre/Form:
214472
Electronic books.
LC Class. No.: QA221 . / B78 2004
Dewey Class. No.: 512.74
Approximation by Algebraic Numbers.
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Approximation by Algebraic Numbers.
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[electronic resource].
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2004.
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292 p.
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Cover; Half-title; Title; Copyright; Contents; Preface; Frequently used notation; 1 Approximation by rational numbers; 2 Approximation to algebraic numbers; 3 The classifications of Mahler and Koksma; 4 Mahler���� Conjecture on S-numbers; 5 Hausdorff dimension of exceptional sets; 6 Deeper results on the measureof exceptional sets; 7 On T -numbers and U-numbers; 8 Other classifications of real andcomplex numbers; 9 Approximation in other fields; 10 Conjectures and open questions; Appendix A Lemmas on polynomials; Appendix B Geometry of numbers; References; Index
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$a
An accessible and broad account of the approximation and classification of real numbers suited for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the comprehensive list of more than 600 references.
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Available via World Wide Web.
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Click here to view book
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http://dx.doi.org/10.1017/CBO9780511542886
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