Approximation Of Algebraic Numbers PDF Download
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Author | : Yann Bugeaud |
Publisher | : Cambridge University Press |
Total Pages | : 292 |
Release | : 2004-11-08 |
Genre | : Mathematics |
ISBN | : 1139455672 |
Download Approximation by Algebraic Numbers Book in PDF, ePub and Kindle
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.
Author | : Wolfgang M. Schmidt |
Publisher | : |
Total Pages | : 80 |
Release | : 1972 |
Genre | : Algebraic fields |
ISBN | : |
Download Approximation to Algebraic Numbers Book in PDF, ePub and Kindle
Author | : W.M. Schmidt |
Publisher | : Springer |
Total Pages | : 312 |
Release | : 2009-02-05 |
Genre | : Mathematics |
ISBN | : 3540386459 |
Download Diophantine Approximation Book in PDF, ePub and Kindle
"In 1970, at the U. of Colorado, the author delivered a course of lectures on his famous generalization, then just established, relating to Roth's theorem on rational approxi- mations to algebraic numbers. The present volume is an ex- panded and up-dated version of the original mimeographed notes on the course. As an introduction to the author's own remarkable achievements relating to the Thue-Siegel-Roth theory, the text can hardly be bettered and the tract can already be regarded as a classic in its field."(Bull.LMS) "Schmidt's work on approximations by algebraic numbers belongs to the deepest and most satisfactory parts of number theory. These notes give the best accessible way to learn the subject. ... this book is highly recommended." (Mededelingen van het Wiskundig Genootschap)
Author | : Michel Waldschmidt |
Publisher | : Springer Science & Business Media |
Total Pages | : 649 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 3662115697 |
Download Diophantine Approximation on Linear Algebraic Groups Book in PDF, ePub and Kindle
The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.
Author | : Alan Baker |
Publisher | : Cambridge University Press |
Total Pages | : |
Release | : 2022-06-09 |
Genre | : Mathematics |
ISBN | : 1009229966 |
Download Transcendental Number Theory Book in PDF, ePub and Kindle
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.
Author | : Kanakanahalli RAMACHANDRA |
Publisher | : |
Total Pages | : |
Release | : 1966 |
Genre | : |
ISBN | : |
Download Approximation of Algebraic Numbers, Etc Book in PDF, ePub and Kindle
Author | : Wolfgang M. Schmidt |
Publisher | : Springer |
Total Pages | : 224 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 3540473742 |
Download Diophantine Approximations and Diophantine Equations Book in PDF, ePub and Kindle
"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum
Author | : Kenneth B. Stolarsky |
Publisher | : |
Total Pages | : 329 |
Release | : 1974 |
Genre | : Algebraic number theory |
ISBN | : 9780824761028 |
Download Algebraic Numbers and Diophantine Approximation Book in PDF, ePub and Kindle
Author | : Yann Bugeaud |
Publisher | : Cambridge University Press |
Total Pages | : 317 |
Release | : 2012-07-05 |
Genre | : Mathematics |
ISBN | : 0521111692 |
Download Distribution Modulo One and Diophantine Approximation Book in PDF, ePub and Kindle
A treatment of cutting-edge research on the distribution modulo one of sequences and related topics, much of it from the last decade. There are numerous exercises to aid student understanding of the topic, and researchers will appreciate the notes at the end of each chapter, extensive references and open problems.
Author | : Aleksandr Osipovich Gelʹfond |
Publisher | : |
Total Pages | : 52 |
Release | : 1952 |
Genre | : Algebraic fields |
ISBN | : |
Download The Approximation of Algebraic Numbers by Algebraic Numbers and the Theory of Transcendental Numbers Book in PDF, ePub and Kindle