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| Author | : Umberto Zannier |
| Publisher | : Springer |
| Total Pages | : 169 |
| Release | : 2015-02-13 |
| Genre | : Mathematics |
| ISBN | : 8876425209 |
Download On Some Applications of Diophantine Approximations Book in PDF, ePub and Kindle
This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "Über einige Anwendungen diophantischer Approximationen" by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel’s celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel’s proof have appeared, but none seem to faithfully reproduce all features of the original one. This translation makes Siegel’s original ideas and proofs available for the first time in English. The volume also contains the original version of the paper (in German) and an article by the translator and U. Zannier, commenting on some aspects of the evolution of this field following Siegel’s paper. To end, it presents three modern proofs of Siegel’s theorem on integral points.
| 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 | : Charles F. Osgood |
| Publisher | : |
| Total Pages | : 378 |
| Release | : 1973 |
| Genre | : Mathematics |
| ISBN | : |
Download Diophantine Approximation and Its Applications Book in PDF, ePub and Kindle
This volume represents the proceedings of a Conference on Diophantine Approximation and Its Applications held in Washington, D.C., June 6-8, 1972, and sponsored by the Mathematics Research Center of the Naval Research Laboratory. The purpose of this meeting was to stimulate research in the area of Diophantine approximation by bringing together many of the leading researchers in this field so that they could exchange information and ideas. Fourteen formal lectures were presented at the conference, and these are the papers contained in this volume.
| Author | : Umberto Zannier |
| Publisher | : |
| Total Pages | : 70 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9788884201751 |
Download Some applications of Diophantine Approximation to Diophantine Equations. With Special Emphasis on the Schmidt Subspace Theorem Book in PDF, ePub and Kindle
| Author | : Carl Ludwig Siegel |
| Publisher | : |
| Total Pages | : 161 |
| Release | : 2014 |
| Genre | : Diophantine analysis |
| ISBN | : |
Download On Some Applications of Diophantine Approximations Book in PDF, ePub and Kindle
This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper Über einige Anwendungen diophantischer Approximationen by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and Diophantine analysis, notably Siegel's celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel's proof have appeared, but none seem to faithfully reproduce all features of the original one. This translation makes Siegel's original ideas and proofs available for the first time in English. The volume also contains the original version of the paper (in German) and an article by the translator and U. Zannier, commenting on some aspects of the evolution of this field following Siegel's paper. To end, it presents three modern proofs of Siegel's theorem on integral points.
| Author | : Serge Lang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 138 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461242207 |
Download Introduction to Diophantine Approximations Book in PDF, ePub and Kindle
The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere. Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics.
| Author | : Pietro Corvaja |
| Publisher | : Cambridge University Press |
| Total Pages | : 210 |
| Release | : 2018-05-03 |
| Genre | : Mathematics |
| ISBN | : 1108656560 |
Download Applications of Diophantine Approximation to Integral Points and Transcendence Book in PDF, ePub and Kindle
This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations and related topics. The geometric viewpoint on Diophantine equations has been adopted throughout the book. It includes a number of results, some published here for the first time in book form, and some new, as well as classical material presented in an accessible way. Graduate students and experts alike will find the book's broad approach useful for their work, and will discover new techniques and open questions to guide their research. It contains concrete examples and many exercises (ranging from the relatively simple to the much more complex), making it ideal for self-study and enabling readers to quickly grasp the essential concepts.
| Author | : Ivan Niven |
| Publisher | : Courier Corporation |
| Total Pages | : 82 |
| Release | : 2013-01-23 |
| Genre | : Mathematics |
| ISBN | : 0486164705 |
Download Diophantine Approximations Book in PDF, ePub and Kindle
This self-contained treatment covers approximation of irrationals by rationals, product of linear forms, multiples of an irrational number, approximation of complex numbers, and product of complex linear forms. 1963 edition.
| Author | : C. L. Siegel |
| Publisher | : |
| Total Pages | : |
| Release | : 2014 |
| Genre | : |
| ISBN | : |
Download On Some Applications of Diophantine Approximations a translation of Carl Ludwig Siegel's Über einige Anwendungen diophantischer Approximationen by Clemens Fuchs, with a commentary and the article Integral points on curves Book in PDF, ePub and Kindle
| Author | : John William Scott Cassels |
| Publisher | : |
| Total Pages | : 198 |
| Release | : 1972 |
| Genre | : Diophantine analysis |
| ISBN | : |
Download An Introduction to Diophantine Approximation Book in PDF, ePub and Kindle
