Author: John William Scott CasselsPublisher:
ISBN:
Category : Diophantine analysis
Languages : en
Pages : 198
Book Description
An Introduction to Diophantine Approximation
Author: John William Scott CasselsPublisher:
ISBN:
Category : Diophantine analysis
Languages : en
Pages : 198
Book Description
Introduction to Diophantine Approximations
Author: Serge LangPublisher: Springer Science & Business Media
ISBN: 1461242207
Category : Mathematics
Languages : en
Pages : 138
Book Description
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.
An Introduction to Diophantine Approximation
Author: An Introduction to Diophantine Approximation
Author: J. W. S. CasselsPublisher:
ISBN: 9780758113481
Category :
Languages : en
Pages : 166
Book Description
An Introduction to Diophantine Approximation
Author: John W. S. CasselsDiophantine Geometry
Author: Marc HindryPublisher: Springer Science & Business Media
ISBN: 1461212103
Category : Mathematics
Languages : en
Pages : 574
Book Description
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.
Diophantine Approximation on Linear Algebraic Groups
Author: Michel WaldschmidtPublisher: Springer Science & Business Media
ISBN: 3662115697
Category : Mathematics
Languages : en
Pages : 649
Book Description
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.
Diophantine Approximation
Author: W.M. SchmidtPublisher: Springer
ISBN: 3540386459
Category : Mathematics
Languages : en
Pages : 312
Book Description
"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)
Diophantine Approximations
Author: Ivan NivenPublisher: Courier Corporation
ISBN: 0486164705
Category : Mathematics
Languages : en
Pages : 82
Book Description
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.
Distribution Modulo One and Diophantine Approximation
Author: Yann BugeaudPublisher: Cambridge University Press
ISBN: 0521111692
Category : Mathematics
Languages : en
Pages : 317
Book Description
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.