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 compa

It was discovered recently that Nevanlinna theory and Diophantine approximation bear striking similarities and connections. This book provides an introduction t

Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.

"Mathematicians David Fisher, Dmitry Kleinbock, and Gregory Soifer highlight in this edited collection the foundations and evolution of research by mathematicia

Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research