Transcendental number theory:
First published in 1975, this classic book gives a systematic account of transcendental number theory, that is, the theory of those numbers that cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory, which...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2022
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| Schriftenreihe: | Cambridge mathematical library
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| Links: | https://doi.org/10.1017/9781009229937 |
| Zusammenfassung: | First published in 1975, this classic book gives a systematic account of transcendental number theory, that is, the theory of those numbers that cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory, which continues to see rapid progress today. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalization of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's E-functions and of Sprindžuk's solution to the Mahler conjecture. This edition includes an introduction written by David Masser describing Baker's achievement, surveying the content of each chapter and explaining the main argument of Baker's method in broad strokes. A new afterword lists recent developments related to Baker's work. |
| Umfang: | 1 Online-Ressource (xiv, 169 Seiten) |
| ISBN: | 9781009229937 |
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| id | ZDB-20-CTM-CR9781009229937 |
| illustrated | Not Illustrated |
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| spelling | Baker, Alan 1939- Transcendental number theory Alan Baker F.R.S. ; with an introduction by David Masser Cambridge Cambridge University Press 2022 1 Online-Ressource (xiv, 169 Seiten) txt c cr Cambridge mathematical library First published in 1975, this classic book gives a systematic account of transcendental number theory, that is, the theory of those numbers that cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory, which continues to see rapid progress today. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalization of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's E-functions and of Sprindžuk's solution to the Mahler conjecture. This edition includes an introduction written by David Masser describing Baker's achievement, surveying the content of each chapter and explaining the main argument of Baker's method in broad strokes. A new afterword lists recent developments related to Baker's work. Masser, David William 1948- Erscheint auch als Druck-Ausgabe 9781009229944 |
| spellingShingle | Baker, Alan 1939- Transcendental number theory |
| title | Transcendental number theory |
| title_auth | Transcendental number theory |
| title_exact_search | Transcendental number theory |
| title_full | Transcendental number theory Alan Baker F.R.S. ; with an introduction by David Masser |
| title_fullStr | Transcendental number theory Alan Baker F.R.S. ; with an introduction by David Masser |
| title_full_unstemmed | Transcendental number theory Alan Baker F.R.S. ; with an introduction by David Masser |
| title_short | Transcendental number theory |
| title_sort | transcendental number theory |
| work_keys_str_mv | AT bakeralan transcendentalnumbertheory AT masserdavidwilliam transcendentalnumbertheory |