This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations

Introduction to Diophantine approximation and equations focusing on Schmidt's subspace theorem, with applications to transcendence.

This exploration of the relation between periods and transcendental numbers brings Baker's theory of linear forms in logarithms into its most general framework,

Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.

This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.