Introduction to Diophantine Approximations

Released on by Serge Lang
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  • Introduction to Diophantine Approximations Book Detail

  • Author : Serge Lang
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 138
  • ISBN 13 : 1461242207
  • File Size : 53,53 MB
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Introduction to Diophantine Approximations by Serge Lang PDF Summary

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.

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Introduction to Diophantine Approximations

Introduction to Diophantine Approximations

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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 e

Diophantine Approximations

Diophantine Approximations

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This self-contained treatment covers approximation of irrationals by rationals, product of linear forms, multiples of an irrational number, approximation of com