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An Introduction to Diophantine Approximation

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Author(s): J. W. S. Cassels
Series: Cambridge tracts in mathematics and mathematical physics volume 45
Publisher: Cambridge University Press, Macmillan
Year: 1957

Language: English
Pages: 177
Tags: Математика;Теория чисел;

An introduction to diophantine approximation......Page
Cover......Page Introduction2DiophantineApproximation-cover_0001.djvu
An introduction to diophantine approximation......Page gs_out_9644_a07308_0002
Contents......Page gs_out_9644_a07308_0006
Preface......Page gs_out_9644_a07308_0008
Notation......Page gs_out_9644_a07308_0010
1 HOMOGENEOUS APPROXIMATION......Page gs_out_9644_a07308_0012
2 THE MARKOFF CHAIN......Page gs_out_9644_a07308_0029
3 INHOMOGENEOUS APPROXIMATION......Page gs_out_9644_a07308_0056
4 UNIFORM DISTRIBUTION......Page gs_out_9644_a07308_0071
5 TRANSFERENCE THEOREMS......Page gs_out_9644_a07308_0086
6 RATIONAL APPROXIMATION TO ALGEBRAIC NUMBERS. ROTH’S THEOREM......Page gs_out_4556_a05704_0014
7 METRICAL THEORY......Page gs_out_4556_a05704_0031
8 THE PISOT VIJAYARAGHAVAN NUMBERS......Page gs_out_4556_a05704_0044
APPENDIX A: BASES IN CERTAIN MODULES......Page gs_out_4556_a05704_0056
APPENDIX В: TOOLS FROM THE GEOMETRY OF NUMBERS......Page gs_out_4556_a05704_0059
APPENDIX С: GAUSS’S LEMMA......Page gs_out_4556_a05704_0070
Bibliography......Page gs_out_4556_a05704_0072
Index of definitions......Page gs_out_4556_a05704_0077