The Resource Metric diophantine approximation on manifolds, V.I. Bernik, M.M. Dodson
Metric diophantine approximation on manifolds, V.I. Bernik, M.M. Dodson
Resource Information
The item Metric diophantine approximation on manifolds, V.I. Bernik, M.M. Dodson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Metric diophantine approximation on manifolds, V.I. Bernik, M.M. Dodson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 Khintchinetype 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 Khintchinetype 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
 Language
 eng
 Extent
 xi, 172 pages
 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 padic field
 Introduction to padic numbers
 Diophantine approximation in Q[subscript p]
 Integral polynomials with small padic 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
 Isbn
 9780521432757
 Label
 Metric diophantine approximation on manifolds
 Title
 Metric diophantine approximation on manifolds
 Statement of responsibility
 V.I. Bernik, M.M. Dodson
 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 Khintchinetype 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 Khintchinetype 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
 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
 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 padic field
 Introduction to padic numbers
 Diophantine approximation in Q[subscript p]
 Integral polynomials with small padic 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
 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 padic field
 Introduction to padic numbers
 Diophantine approximation in Q[subscript p]
 Integral polynomials with small padic 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Metricdiophantineapproximationonmanifolds/ujemMO1wk6Q/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Metricdiophantineapproximationonmanifolds/ujemMO1wk6Q/">Metric diophantine approximation on manifolds, V.I. Bernik, M.M. Dodson</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>