Approximation by algebraic numbers /:
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 compre...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
|
| Schriftenreihe: | Cambridge tracts in mathematics ;
160. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xv, 274 pages) |
| Bibliographie: | Includes bibliographical references (pages 240-272) and index. |
| ISBN: | 9780511265914 0511265913 0511263643 9780511263644 0511264453 9780511264450 0511265190 9780511265198 9780511542886 0511542887 9780521823296 0521823293 1107159776 9781107159778 9786610749942 6610749949 0511308779 9780511308772 |
Internformat
MARC
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| 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's 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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| 650 | 6 | |a Théorie de l'approximation. | |
| 650 | 6 | |a Théorie algébrique des nombres. | |
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| author | Bugeaud, Yann, 1971- |
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| contents | 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's 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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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
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| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xv, 274 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Cambridge tracts in mathematics ; |
| series2 | Cambridge tracts in mathematics ; |
| spelling | Bugeaud, Yann, 1971- https://id.oclc.org/worldcat/entity/E39PBJkTc9Q4vyjgtVjdQV63Qq http://id.loc.gov/authorities/names/n2003009564 Approximation by algebraic numbers / Yann Bugeaud. Cambridge, UK ; New York : Cambridge University Press, 2004. 1 online resource (xv, 274 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge tracts in mathematics ; 160 Includes bibliographical references (pages 240-272) and 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. 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's 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. Print version record. English. Approximation theory. http://id.loc.gov/authorities/subjects/sh85006190 Algebraic number theory. http://id.loc.gov/authorities/subjects/sh85003436 Théorie de l'approximation. Théorie algébrique des nombres. MATHEMATICS Number Theory. bisacsh Algebraic number theory fast Approximation theory fast Diophantische Approximation gnd http://d-nb.info/gnd/4135760-7 Algebraische Zahl gnd http://d-nb.info/gnd/4141847-5 Electronic books. has work: Approximation by algebraic numbers (Text) https://id.oclc.org/worldcat/entity/E39PCGRwQhK6yHm6Jqt3RQmbFq https://id.oclc.org/worldcat/ontology/hasWork Print version: Bugeaud, Yann, 1971- Approximation by algebraic numbers. Cambridge, UK ; New York : Cambridge University Press, 2004 0521823293 9780521823296 (DLC) 2003063884 (OCoLC)53953706 Cambridge tracts in mathematics ; 160. http://id.loc.gov/authorities/names/n42005726 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=181826 Volltext |
| spellingShingle | Bugeaud, Yann, 1971- Approximation by algebraic numbers / Cambridge tracts in mathematics ; 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's 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. Approximation theory. http://id.loc.gov/authorities/subjects/sh85006190 Algebraic number theory. http://id.loc.gov/authorities/subjects/sh85003436 Théorie de l'approximation. Théorie algébrique des nombres. MATHEMATICS Number Theory. bisacsh Algebraic number theory fast Approximation theory fast Diophantische Approximation gnd http://d-nb.info/gnd/4135760-7 Algebraische Zahl gnd http://d-nb.info/gnd/4141847-5 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85006190 http://id.loc.gov/authorities/subjects/sh85003436 http://d-nb.info/gnd/4135760-7 http://d-nb.info/gnd/4141847-5 |
| title | Approximation by algebraic numbers / |
| title_auth | Approximation by algebraic numbers / |
| title_exact_search | Approximation by algebraic numbers / |
| title_full | Approximation by algebraic numbers / Yann Bugeaud. |
| title_fullStr | Approximation by algebraic numbers / Yann Bugeaud. |
| title_full_unstemmed | Approximation by algebraic numbers / Yann Bugeaud. |
| title_short | Approximation by algebraic numbers / |
| title_sort | approximation by algebraic numbers |
| topic | Approximation theory. http://id.loc.gov/authorities/subjects/sh85006190 Algebraic number theory. http://id.loc.gov/authorities/subjects/sh85003436 Théorie de l'approximation. Théorie algébrique des nombres. MATHEMATICS Number Theory. bisacsh Algebraic number theory fast Approximation theory fast Diophantische Approximation gnd http://d-nb.info/gnd/4135760-7 Algebraische Zahl gnd http://d-nb.info/gnd/4141847-5 |
| topic_facet | Approximation theory. Algebraic number theory. Théorie de l'approximation. Théorie algébrique des nombres. MATHEMATICS Number Theory. Algebraic number theory Approximation theory Diophantische Approximation Algebraische Zahl Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=181826 |
| work_keys_str_mv | AT bugeaudyann approximationbyalgebraicnumbers |