Diophantine approximation

Wolfgang M. Schmidt

"In 1970, at the U. of Colorado, the author delivered a course of lectures on his famous generalization, then just established, relating to Roth's theorem on rational approxi- mations to algebraic numbers. The present volume is an ex- panded and up-dated version of the original mimeographed notes on the course. As an introduction to the author's own remarkable achievements relating to the Thue-Siegel-Roth theory, the text can hardly be bettered and the tract can already be regarded as a classic in its field."(Bull.LMS) "Schmidt's work on approximations by algebraic numbers belongs to the deepest and most satisfactory parts of number theory. These notes give the best accessible way to learn the subject...this book is highly recommended." (Mededelingen van het Wiskundig Genootschap)

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[目次]

  • Approximation to Irrational Numbers by Rationals.- Simultaneous Approximation.- Games and Measures.- Integer Points in Parallelepipeds.- Roth's Theorem.- Simultaneous Approximation to Algebraic Numbers.- Norm Form Equations.- Approximation By Algebraic Numbers.

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この本の情報

書名 Diophantine approximation
著作者等 Schmidt, Wolfgang M.
Schmidt W.M.
シリーズ名 Lecture notes in mathematics
出版元 Springer-Verlag
刊行年月 1980
版表示 1st ed. 1980. 2nd printing 1996
ページ数 x, 299 p.
大きさ 25 cm
ISBN 9780387097626
9783540097624
NCID BA03469435
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言語 英語
出版国 ドイツ
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