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Metric Diophantine Approximation on Manifolds

By: Contributor(s): Material type: TextTextLanguage: English Series: Cambridge tracts in mathematics ; 137Publication details: Cambridge Cambridge University Press 1999Description: xi, 172pISBN:
  • 0521432758 (HB)
Subject(s):
Contents:
1. Diophantine approximation 2. Khintchine-type manifolds 3. Hausdorff measure and dimension 4. Upper bounds 5. Lower bounds for Hausdorff dimension 6. p-adic Diophantine approximation 7. Applications.
Summary: This 1999 book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space. In particular, this book deals with Khintchine-type theorems and with the Hausdorff dimension of the associated null sets. All researchers with an interest in Diophantine approximation will welcome this book.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.4 BER (Browse shelf(Opens below)) Available 40867

Includes index

Includes bibliography (p. 161-170) and references

1. Diophantine approximation 2. Khintchine-type manifolds 3. Hausdorff measure and dimension 4. Upper bounds 5. Lower bounds for Hausdorff dimension 6. p-adic Diophantine approximation 7. Applications.

This 1999 book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space. In particular, this book deals with Khintchine-type theorems and with the Hausdorff dimension of the associated null sets. All researchers with an interest in Diophantine approximation will welcome this book.

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The Institute of Mathematical Sciences, Chennai, India