Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the same from a great distance are actually equivalent. This book provides a general perspective on coarse structures. It discusses results on asymptotic dimension and uniform embeddings into Hilbert space.
Reprint of the original, first published in 1859. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.
Analytic K-homology draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these three subjects - and it has been used with specacular success to discover remarkable theorems across a wide span of mathematics. The purpose of this book is to acquaint the reader with the essential ideas of analytic K-homology and develop some of its applications. It includes a detailed introduction to the necessary functional analysis, followed by an exploration of the connections between K-homology and operator theory, coarse geometry, index theory, and assembly maps, including a detailed treatment of the Atiyah-Singer Index Theorem. Beginning with the rudiments of C* - algebra theory, the book will lead the reader to some central notions of contemporary research in geometric functional analysis. Much of the material included here has never previously appeared in book form.
Proceedings from the Clay Mathematics Institute Instructional Symposium, Held in Conjuction with the AMS-IMS-SIAM Joint Summer Research Conference on Noncommutative Geometry, June 18-29, 2000, Mount Holyoke College, South Hadley, MA
Proceedings from the Clay Mathematics Institute Instructional Symposium, Held in Conjuction with the AMS-IMS-SIAM Joint Summer Research Conference on Noncommutative Geometry, June 18-29, 2000, Mount Holyoke College, South Hadley, MA
In June 2000, the Clay Mathematics Institute organized an Instructional Symposium on Noncommutative Geometry in conjunction with the AMS-IMS-SIAM Joint Summer Research Conference. These events were held at Mount Holyoke College in Massachusetts from June 18 to 29, 2000. The Instructional Symposium consisted of several series of expository lectures which were intended to introduce key topics in noncommutative geometry to mathematicians unfamiliar with the subject. Those expository lectures have been edited and are reproduced in this volume. The lectures of Rosenberg and Weinberger discuss various applications of noncommutative geometry to problems in ``ordinary'' geometry and topology. The lectures of Lagarias and Tretkoff discuss the Riemann hypothesis and the possible application of the methods of noncommutative geometry in number theory. Higson gives an account of the ``residue index theorem'' of Connes and Moscovici. Noncommutative geometry is to an unusual extent the creation of a single mathematician, Alain Connes. The present volume gives an extended introduction to several aspects of Connes' work in this fascinating area. Information for our distributors: Titles in this series are copublished with the Clay Mathematics Institute (Cambridge, MA).
Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.
When Micky and Kana discover their fridge has disappeared they are naturally quite baffled. With the help of their eccentric friends from the Tottenham Marshes they invent a number of apparently stupid explanations for the loss of the fridge - but these bizarrely are to come true. The fridge returns - it is a walk-in model which leads into a surreal kingdom and a spectacular ending. ######The Missing Fridge is a truly extraordinary debut novel, wherein Charles Dickens meets Groucho Marx, meets Salvador Dali, meets Noam Chomsky, meets William Blake, meets Catherine Cookson (fresh from attending the Tottenham Riots), and garnished with a light smattering of Alan Titchmarsh. Preposterously, insanely funny, breathtaking in its scope and imagination, supemely accomplished and wonderfully readable, a politically charged disection of contemporary London. Above all a work of outrageous ambition, which attempts to reshape not just the course of literature but the world in general.
Class Struggle and the Industrial Revolution represents both a continuation of, and a stark contrast to, the impressive tradition of social history which has grown up in Britain in the last two decades. Its use of sophisticated quantitative techniques for the dissection of urban social structures will serve as a model for subsequent research workers. This work examines the impact of industrialization on the social development of the cotton manufacturing town of Oldham from 1790-1860; in particular how the experience of industrial capitalism aided the formation of a coherent organized mass class consciousness capable by 1830 of controlling all the vital organs of local government in the town. This will be a useful study to any student of the industrial revolution.
This collection that was first published in 2009, and is recommended reading for doctors and others includes: The Green Bookshop opens its doors; Books that won prizes; Great books that should have won prizes; Two books by one writer; A handful of classic novels; Short stories and essays; Books and the cinema; Biography and memoirs; Classic books about general practice; Best new books about general practice; Consultation and communication; Education for primary care; Psychiatry, psychology and a bit of philosophy, and Reading for pleasure.
In the 1930s there were close to a billion annual admissions to the cinema in Britain and it was by far the most popular paid-for leisure activity. This book is an exploration of that popularity. John Sedgwick has developed the POPSTAT index, a methodology based on exhibition records which allows identification of the most popular films and the leading stars of the period, and provides a series of tables which will serve as standard points of reference for all scholars and specialists working in the field of 1930s cinema. The book establishes similarities and differences between national and regional tastes through detailed case study analysis of cinemagoing in Bolton and Brighton, and offers an analysis of genre development. It also reveals that although Hollywood continued to dominate the British market, films emanating from British studios proved markedly popular with domestic audiences.
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