Introduction to Diophantine Approximations: New Expanded Edition

by Serge Lang

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Book cover for 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 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.
  • ISBN13 9780387944562
  • Publish Date 29 June 1995 (first published January 1967)
  • Publish Status Active
  • Publish Country US
  • Imprint Springer-Verlag New York Inc.
  • Edition 2nd expanded ed. 1995
  • Format Hardcover
  • Pages 130
  • Language English