For the past 25 years, the Geometrization Program of Thurston has been a driving force for research in 3-manifold topology. This has inspired a surge of activity investigating hyperbolic 3-manifolds (and Kleinian groups), as these manifolds form the largest and least well-understood class of compact 3-manifolds. Familiar and new tools from diverse areas of mathematics have been utilized in these investigations, from topology, geometry, analysis, group theory, and from the point of view of this book, algebra and number theory. This book is aimed at readers already familiar with the basics of hyperbolic 3-manifolds or Kleinian groups, and it is intended to introduce them to the interesting connections with number theory and the tools that will be required to pursue them. While there are a number of texts which cover the topological, geometric and analytical aspects of hyperbolic 3-manifolds, this book is unique in that it deals exclusively with the arithmetic aspects, which are not covered in other texts. Colin Maclachlan is a Reader in the Department of Mathematical Sciences at the University of Aberdeen in Scotland where he has served since 1968. He is a former President of the Edinburgh Mathematical Society. Alan Reid is a Professor in the Department of Mathematics at The University of Texas at Austin. He is a former Royal Society University Research Fellow, Alfred P. Sloan Fellow and winner of the Sir Edmund Whittaker Prize from The Edinburgh Mathematical Society. Both authors have published extensively in the general area of discrete groups, hyperbolic manifolds and low-dimensional topology.

Life and leadership lessons from the Special Forces, from the stars of Channel 4 series SAS: Who Dares Wins - including Sunday Times bestselling author of FIRST MAN: LEADING FROM THE FRONT, Ant Middleton Are you up to the challenge of SAS leadership? Only the best will succeed... Britain's SAS (Special Air Service) has an unparalleled reputation for soldiering excellence. Their skills and techniques have been perfected in the most demanding environments imaginable, but many of these can also be used in our everyday lives. This book takes situations all of us will experience during our lives and presents tactical lessons drawn from SAS training and battlefield experience. Its four authors - stars of the hit Channel 4 show SAS: Who Dares Wins - how their finely honed understanding of how to handle extreme challenges can be applied in any environment. Their advice on negotiation, people management, self-motivation and resilience, among other things, can transform your performance in a whole range of scenarios: from buying a house, nailing a job interview, and the experience of dealing with rejection, to maintaining a diet, or managing that pushy colleague at work. This is the ultimate guide to leadership and personal achievement.

Recently there has been considerable interest in developing techniques based on number theory to attack problems of 3-manifolds; Contains many examples and lots of problems; Brings together much of the existing literature of Kleinian groups in a clear and concise way; At present no such text exists

This text describes the living, evolving cultural experience of Latin America. The authors place key elements to understanding both the region's history and its present, people, places, politics, economics, and cultures, into historical perspective.