An Introduction To Diophantine Approximation
Download An Introduction To Diophantine Approximation full books in PDF, epub, and Kindle. Read online free An Introduction To Diophantine Approximation ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| Author | : Serge Lang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 138 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461242207 |
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 | : |
| Publisher | : CUP Archive |
| Total Pages | : 186 |
| Release | : |
| Genre | : |
| ISBN | : |
| Author | : Michel Waldschmidt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 649 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 3662115697 |
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 | : Marc Hindry |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 574 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1461212103 |
This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.
| Author | : Ivan Niven |
| Publisher | : Courier Corporation |
| Total Pages | : 82 |
| Release | : 2013-01-23 |
| Genre | : Mathematics |
| ISBN | : 0486164705 |
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 | : John William Scott Cassels |
| Publisher | : |
| Total Pages | : 198 |
| Release | : 1972 |
| Genre | : Diophantine analysis |
| ISBN | : |
| Author | : Yann Bugeaud |
| Publisher | : Cambridge University Press |
| Total Pages | : 317 |
| Release | : 2012-07-05 |
| Genre | : Mathematics |
| ISBN | : 0521111692 |
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 | : Min Ru |
| Publisher | : World Scientific |
| Total Pages | : 338 |
| Release | : 2001-06-06 |
| Genre | : Mathematics |
| ISBN | : 9814492485 |
It was discovered recently that Nevanlinna theory and Diophantine approximation bear striking similarities and connections. This book provides an introduction to both Nevanlinna theory and Diophantine approximation, with emphasis on the analogy between these two subjects.Each chapter is divided into part A and part B. Part A deals with Nevanlinna theory and part B covers Diophantine approximation. At the end of each chapter, a table is provided to indicate the correspondence of theorems.
| Author | : Pietro Corvaja |
| Publisher | : Springer |
| Total Pages | : 82 |
| Release | : 2016-11-23 |
| Genre | : Mathematics |
| ISBN | : 9811026483 |
This book is intended to be an introduction to Diophantine geometry. The central theme of the book is to investigate the distribution of integral points on algebraic varieties. This text rapidly introduces problems in Diophantine geometry, especially those involving integral points, assuming a geometrical perspective. It presents recent results not available in textbooks and also new viewpoints on classical material. In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs. A central role is played by Siegel’s finiteness theorem for integral points on curves. The book ends with the analysis of integral points on surfaces.
| Author | : Jörn Steuding |
| Publisher | : Birkhäuser |
| Total Pages | : 239 |
| Release | : 2016-12-21 |
| Genre | : Mathematics |
| ISBN | : 3319488171 |
This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker’s method of bounding linear forms in logarithms (authored by Sanda Bujačić and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). Each of these notes serves as an essentially self-contained introduction to the topic. The reader gets a thorough impression of Diophantine Analysis by its central results, relevant applications and open problems. The notes are complemented with many references and an extensive register which makes it easy to navigate through the book.
