Overview:Metric Diophantine Approximation on Manifolds - Cambridge Tracts in Mathematics - 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.

This book is on page /a06b960ac9dc90216ed4e00b41bc8290/book/1603729799-9780521432757. It was written by the following authors: M. M. Dodson, V. I. Bernik. Book Metric Diophantine Approximation on Manifolds - Cambridge Tracts in Mathematics, which can be read online, published by the company: Cambridge University Press. Other books on similar topics can be found in sections: Medicine, Technology, Science. The book was published on 1999-10-14. It has 186 pages and is published in Hardback format and weight 450 g. File for download Metric Diophantine Approximation on Manifolds - Cambridge Tracts in Mathematics has PDF format and is called metric-diophantine-approximation-on-manifolds-cambridge-tracts-in-mathematics.pdf. Other books you can download below. Our topcanal.eu site is not responsible for the content of PDF files.


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