METRIC DIOPHANTINE APPROXIMATION ON MANIFOLDS by V. I. Bernik, M. M. Dodson ( 9780521432757 )

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Title:

METRIC DIOPHANTINE APPROXIMATION ON MANIFOLDS

By:

V. I. Bernik, M. M. Dodson

Format:

Hardback

List price:

£115.00

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£100.63

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12.5% off

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£14.37

ISBN 10:

0521432758

ISBN 13:

9780521432757

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

14 October, 1999

Series:

Cambridge Tracts in Mathematics No.137

Pages:

186

Description:

This 1999 book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space.

Synopsis:

This 1999 book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space, and its aim is to develop a coherent body of theory comparable with that which already exists for classical Diophantine approximation. In particular, this 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. A wide range of techniques from the number theory arsenal are used to obtain the upper and lower bounds required, and this is an indication of the difficulty of some of the questions considered. The authors go on to consider briefly the p-adic case, and they conclude with a chapter on some applications of metric Diophantine approximation. All researchers with an interest in Diophantine approximation will welcome this book.

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Imprint:

Cambridge University Press

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Returnable

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