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

Resource Information

The instance Metric diophantine approximation on manifolds, V.I. Bernik, M.M. Dodson represents a material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.

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Label

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

Statement of responsibility

V.I. Bernik, M.M. Dodson

Instantiates

• Metric diophantine approximation on manifolds

Publication

• Cambridge, England | New York, N.Y.:b Cambridge University Press, 1999

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

Record ID

.b44019415