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portada Metric Diophantine Approximation on Manifolds Hardback (Cambridge Tracts in Mathematics)
Type
Physical Book
Author
Publisher
Year
2000
Language
English
Pages
186
Format
Hardcover
Dimensions
22.9 x 15.2 x 1.4 cm
Weight
0.44 kg.
ISBN
0521432758
ISBN13
9780521432757
Categories

Metric Diophantine Approximation on Manifolds Hardback (Cambridge Tracts in Mathematics)

V. I. Bernik (Author) · M. M. Dodson (Author) · Cambridge University Press · Hardcover

Metric Diophantine Approximation on Manifolds Hardback (Cambridge Tracts in Mathematics) - Bernik, V. I. ; Dodson, M. M.

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R 3,289
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Synopsis "Metric Diophantine Approximation on Manifolds Hardback (Cambridge Tracts in Mathematics) "

This volume explores Diophantine approximation on smooth manifolds embedded in Euclidean space, developing a coherent body of theory comparable to that of classical Diophantine approximation. In particular, the book deals with Khintchine-type theorems and with the Hausdorff dimension of the associated null sets. After setting out the necessary background material, the authors give a full discussion of Hausdorff dimension and its uses in Diophantine approximation. They employ a wide range of techniques from the number theory arsenal to obtain the upper and lower bounds required, highlighting the difficulty of some of the questions considered. The authors then go on to consider briefly the p-adic case, and conclude with a chapter on some applications of metric Diophantine approximation. All researchers with an interest in Diophantine approximation will want to have this book in their personal libraries.

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