This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differe

This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background materi

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group th

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham the