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The Resource Metric diophantine approximation on manifolds, V.I. Bernik, M.M. Dodson

Metric diophantine approximation on manifolds, V.I. Bernik, M.M. Dodson

Label
Metric diophantine approximation on manifolds
Title
Metric diophantine approximation on manifolds
Statement of responsibility
V.I. Bernik, M.M. Dodson
Creator
Contributor
Subject
Language
eng
Summary
  • "This 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." "All researchers with an interest in Diophantine approximation will welcome this book."--Jacket
  • "This 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." "All researchers with an interest in Diophantine approximation will welcome this book."--BOOK JACKET
Member of
Cataloging source
UKM
http://library.link/vocab/creatorName
Bernik, V. I.
Dewey number
512.73
Index
index present
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
Dodson, M. M
Series statement
Cambridge tracts in mathematics
Series volume
137
http://library.link/vocab/subjectName
  • Diophantine approximation
  • Manifolds (Mathematics)
  • Hausdorff measures
Label
Metric diophantine approximation on manifolds, V.I. Bernik, M.M. Dodson
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Baker's conjecture
  • Higher dimensional manifolds
  • Hausdorff measure and dimension
  • Hausdorff measure
  • Hausdorff dimension
  • Properties of Hausdorff dimension
  • Determining the Hausdorff dimension
  • Hausdorff dimension on manifolds
  • Upper bounds for Hausdorff dimension
  • Diophantine approximation on manifolds
  • Diophantine approximation and manifolds
  • Smooth manifolds of dimension at least 2
  • Simultaneous Diophantine approximation
  • Lower bounds for Hausdorff dimension
  • Regular systems
  • Ubiquitous systems
  • Simultaneous Diophantine approximation on manifolds
  • Diophantine approximation over the p-adic field
  • Introduction to p-adic numbers
  • Diophantine approximation in Q[subscript p]
  • Integral polynomials with small p-adic values
  • Diophantine approximation in one dimension
  • Applications
  • Diophantine type and very well approximable numbers
  • A wave equation
  • The rotation number
  • Dynamical systems
  • Linearising diffeomorphisms
  • Diophantine approximation in hyperbolic space
  • Approximation in higher dimensions
  • Euclidean submanifolds
  • Metric Diophantine approximation on manifolds
  • Khintchine's and Groshev's theorems for manifolds
  • Extremal manifolds
  • Khintchine and Groshev type manifolds
Control code
41212802
Dimensions
24 cm
Extent
xi, 172 pages
Isbn
9780521432757
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Label
Metric diophantine approximation on manifolds, V.I. Bernik, M.M. Dodson
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Baker's conjecture
  • Higher dimensional manifolds
  • Hausdorff measure and dimension
  • Hausdorff measure
  • Hausdorff dimension
  • Properties of Hausdorff dimension
  • Determining the Hausdorff dimension
  • Hausdorff dimension on manifolds
  • Upper bounds for Hausdorff dimension
  • Diophantine approximation on manifolds
  • Diophantine approximation and manifolds
  • Smooth manifolds of dimension at least 2
  • Simultaneous Diophantine approximation
  • Lower bounds for Hausdorff dimension
  • Regular systems
  • Ubiquitous systems
  • Simultaneous Diophantine approximation on manifolds
  • Diophantine approximation over the p-adic field
  • Introduction to p-adic numbers
  • Diophantine approximation in Q[subscript p]
  • Integral polynomials with small p-adic values
  • Diophantine approximation in one dimension
  • Applications
  • Diophantine type and very well approximable numbers
  • A wave equation
  • The rotation number
  • Dynamical systems
  • Linearising diffeomorphisms
  • Diophantine approximation in hyperbolic space
  • Approximation in higher dimensions
  • Euclidean submanifolds
  • Metric Diophantine approximation on manifolds
  • Khintchine's and Groshev's theorems for manifolds
  • Extremal manifolds
  • Khintchine and Groshev type manifolds
Control code
41212802
Dimensions
24 cm
Extent
xi, 172 pages
Isbn
9780521432757
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n

Library Locations

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