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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. Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning (definitions, theorems, and proofs), but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty.

This book was the origin of a grand scheme developed by Thurston that is now coming to fruition. In the 1920s and 1930s the mathematics of two-dimensional spaces...

Between 1906 and the outbreak of World War I, Moscow was the locale of great uncertainty and experimentation. Moscow's liberal leaders sought social and political stability for their city following the violence of the 1905 revolution by offering attractive programs in education, employment, housing and other areas to Moscow's unruly lower classes. They were countered in their efforts, however, by central authorities of the Old Regime, who feared the political effects of these programs and stressed social rigidity. Liberal City, Conservative State examines the resulting clash between...

William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I-III contain commentaries by the...

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. However, both theories have developed a number of striking similarities. Confoliations--which interpolate between...

Thomas Merton recognized the value and possibility of contemplative dialogue between monastics and contemplatives of other religious traditions and hoped that, through such dialogue, monastics would strive for ‘inter-monastic communion’ and a bonding of the broader ‘spiritual family.’ He held out hope that this bond would demonstrate the fundamental unity of humanity to a world that was becoming ever more materialistic and divided. Among other themes and topics, this book explores Thomas Merton’s role as a pioneer of Buddhist-Christian dialogue and monastic interreligious dialogue....