Transcendental number theory / Alan Baker ; with an introduction by David Masser.
The study of transcendental numbers has now developed into a fertile and extensive theory, enriching widespread branches of mathematics; and the time has seemed opportune to prepare a systematic treatise. My aim has been to provide a comprehensive account of the recent major discoveries in the field...
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Full Text (via Cambridge) |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, United Kingdom ; New York, NY :
Cambridge University Press,
2022.
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| Edition: | Revised edition. |
| Series: | Cambridge mathematical library.
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| Subjects: |
MARC
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| 100 | 1 | |a Baker, Alan, |d 1939- |1 https://isni.org/isni/0000000110816386 | |
| 245 | 1 | 0 | |a Transcendental number theory / |c Alan Baker ; with an introduction by David Masser. |
| 250 | |a Revised edition. | ||
| 264 | 1 | |a Cambridge, United Kingdom ; |a New York, NY : |b Cambridge University Press, |c 2022. | |
| 264 | 4 | |c ©1975 | |
| 300 | |a 1 online resource (xiv, 170 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge mathematical library | |
| 500 | |a "First published 1975; reprinted with additional material 1979; reissued as a paperback with updated material in the Cambridge Mathematical Library series 1990; reprinted with introduction 2022." | ||
| 504 | |a Includes bibliographical references (page 129), [bibliography of] original papers (relating to transcendental number theory) (pages 130-144), [bibliography of] further publications (pages 145-154), [bibliography of] new developments (pages 155-161), [bibliography of] some developments since 1990 (pages 162-165), and index. | ||
| 505 | 0 | 0 | |t The origins -- |t Linear forms in logarithms -- |t Lower bounds for linear forms -- |t Diophantine equations -- |t Class numbers of imaginary quadratic fields -- |t Elliptic functions -- |t Rational approximations to algebraic numbers -- |t Mahler's classification -- |t Metrical theory -- |t The exponential function -- |t The Siegel-Shidlovsky theorems -- |t Algebraic independence. |
| 520 | |a The study of transcendental numbers has now developed into a fertile and extensive theory, enriching widespread branches of mathematics; and the time has seemed opportune to prepare a systematic treatise. My aim has been to provide a comprehensive account of the recent major discoveries in the field. Classical aspects of the subject are discussed in the course of the narrative; in particular, to facilitate the acquisition of a true historical perspective, a survey of the theory as it existed at about the turn of the century is given at the beginning. Notwithstanding its long history, it will be apparent that the theory of transcendental numbers bears a youthful countenance. If this book should play some small role in promoting future progress, the author will be well satisfied. The text has arisen from numerous lectures delivered in Cambridge, America and elsewhere, and it has also formed the substance of an Adams Prize essay. | ||
| 588 | 0 | |a Online resource; title from digital title page (viewed on May 27, 2022). | |
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Transcendental numbers. | |
| 650 | 0 | |a Transcendental numbers |x History. | |
| 650 | 7 | |a Transcendental numbers. |2 fast |0 (OCoLC)fst01154547 | |
| 700 | 1 | |a Masser, David William, |d 1948- |e author of introduction. | |
| 830 | 0 | |a Cambridge mathematical library. | |
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