Introduction to Diophantine Approximations: New Expanded Edition - Softcover

Lang, Serge

 
9781461287001: Introduction to Diophantine Approximations: New Expanded Edition

Inhaltsangabe

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.

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Reseña del editor

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.

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Weitere beliebte Ausgaben desselben Titels

9780387944562: Introduction to Diophantine Approximations: New Expanded Edition (Springer Books on Elementary Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387944567 ISBN 13:  9780387944562
Verlag: Springer, 1995
Hardcover