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Approximation by Algebraic Numbers.

Bugeaud, Yann.

Approximation by Algebraic Numbers.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Approximation by Algebraic Numbers.
作者:	Bugeaud, Yann.
出版者:	Leiden :Cambridge University Press,2004.
面頁冊數:	292 p.
電子資源:	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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300 $a 292 p.
505 0 $a 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
520 $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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