Books written by William P. Thurston.
Thurston won the Fields Medal for revolutionizing the study of topology in 2 and 3 dimensions, showing interplay between analysis, topology, and geometry. Contributed the idea that a very large class of closed 3-manifolds carry a hyperbolic structure.
Three-Dimensional Geometry and Topology: Volume 1
This book develops some of the extraordinary richness, beauty, and power of geometry in two and three dimensions, and the strong connection of geometry with topology.
This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional "brother" of symplectic geometry.