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This introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles. While the topic of principal bundles in differential geometry has become classic, even standard, material in the modern graduate mathematics curriculum, the unique approach taken in this text presents the material in a way that is intuitive for both students of mathematics and of physics. The goal of this book is to present important, modern geometric ideas in a form readily accessible to students and researchers in both the physics and mathematics communities, providing each with an understanding and appreciation of the language and ideas of the other.
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This case study of two rural parishes in County Durham, England, provides an alternate view on the economic development involved in the transition from medieval to modern, partly explaining England's rise to global economic dominance in the seventeenth century. Coal mining did not come to these parishes until the nineteenth century; these are an example of agrarian expansion. Low population, favourable seigniorial administration, and a commercialised society saw the emergence of large farms on the bishopric of Durham soon after the Black Death; these secure copyhold and leasehold tenures were among the earliest known in England. Individualism developed within a strong parish and village comm...
Includes the decisions of the Supreme Courts of Alabama, Florida, Louisiana, and Mississippi, the Appellate Courts of Alabama and, Sept. 1928/Jan. 1929-Jan./Mar. 1941, the Courts of Appeal of Louisiana.
Since the 17th century, physical theories have been expressed in the language of mathematical equations. This introduction to quantum theory uses that language to enable the reader to comprehend the notoriously non-intuitive ideas of quantum physics. The mathematical knowledge needed for using this book comes from standard undergraduate mathematics courses and is described in detail in the section Prerequisites. This text is especially aimed at advanced undergraduate and graduate students of mathematics, computer science, engineering and chemistry among other disciplines, provided they have the math background even though lacking preparation in physics. In fact, no previous formal study of physics is assumed.
Self-proclaimed defenders of Ulster, condemned by their opponents as thugs and murderers, Protestant paramilitaries have been responsible for around half of the civilian casualties in Ulster. Their operations have succeeded on occasion in subverting major political initiatives and have even brought down a government. Yet despite the familiarity of such names as the UDA, the UVF, the Red Hand commando, and the Shankhill Butchers, such groups remain little studied and poorly understood. This book, the first comprehensive study of loyalist terrorism in Ulster, draws on extensive interviews with terrorists conducted by the author, to assemble the most accurate picture possible of their methods a...