Introduction to Diophantine Approximations: New Expanded Edition (Springer Books on Elementary Mathematics)

Introduction to Diophantine Approximations: New Expanded Edition (Springer Books on Elementary Mathematics)
by: Serge Lang (Author)
Publisher: Springer
Edition: 2nd expanded ed. 1995
Publication Date: 1995/6/29
Language: English
Print Length: 140 pages
ISBN-10: 0387944567
ISBN-13: 9780387944562
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.
About the Author
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. Read more