Introduction to Diophantine Approximations
Autor: | Lang, Serge |
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EAN: | 9780387944562 |
Auflage: | 002 |
Sachgruppe: | Mathematik |
Sprache: | Englisch |
Seitenzahl: | 148 |
Produktart: | Gebunden |
Veröffentlichungsdatum: | 29.06.1995 |
Untertitel: | New Expanded Edition |
Schlagworte: | Gleichung Wahrscheinlichkeit - Wahrscheinlichkeitstheorie |
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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.