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Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures
Nestled in the midst of St. Joseph County, the area that is now Penn and Madison Townships was once heavily wooded. In the 1830s, the earliest settlers traveled routes on foot and via horseback, road cart, ox-drawn wagons, and buckboards, following winding paths in an effort to avoid the swamps. Although hardships and inconviences were endured, one gentleman described their advantages upon arrival: "The soil of Madison and Penn Township is of inexhaustible fertility and the population is to great extent of vigorous Pennsylvania stock." As early settlers arrived, they cut trees for lumber for their homes and to clear ground for farming. This land became some of the best farmland in the region...
Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. These applications range from a proof of the rationality of certain Poincare series associated to varieties over p-adic fields, to a proof of the Mordell-Lang conjecture for function fields in positive characteristic. In some cases (such as the latter) it is the most abstract aspects of model theory which are relevant. This book, originally published in 2000, arising from a series of introductory lectures for graduate students, provides the necessary background to understanding both the model theory and the mathematics behind these applications. The book is unique in that the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations) is covered and diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) are introduced and discussed, all by leading experts in their fields.
The #1 INTERNATIONAL BESTSELLER!!! AN ANCIENT TREASURE: While visiting the scenic country of Malta, Jonathon Payne and David Jones bump into an old friend, who has come to the islands to search for a long-lost treasure of the Knights Hospitallers, an organization that dates back to the First Crusade in 1099 AD. A VENGEFUL CRIMINAL: When Ivan Volkov—the ruthless leader of a Russian crime syndicate—is betrayed, he is willing to do anything to get retribution. Protected by a team of hackers and henchmen, he travels to the Mediterranean where he leaves a trail of bodies in his wake. A FINAL SHOWDOWN: Before returning home, Volkov learns about the ancient hoard, one with possible ties to Paul I and the Russian Empire. With pride and riches on the line, he focuses his wrath on the only people who stand in his way, but Payne and Jones refuse to back down as they try to locate one of the most important treasures of antiquity, while battling one of the world’s most dangerous criminals in a deadly fight to the finish.
In the years following the Glorious Revolution, independent slave traders challenged the charter of the Royal African Company by asserting their natural rights as Britons to trade freely in enslaved Africans. In this comprehensive history of the rise and fall of the RAC, William A. Pettigrew grounds the transatlantic slave trade in politics, not economic forces, analyzing the ideological arguments of the RAC and its opponents in Parliament and in public debate. Ultimately, Pettigrew powerfully reasons that freedom became the rallying cry for those who wished to participate in the slave trade and therefore bolstered the expansion of the largest intercontinental forced migration in history. Unlike previous histories of the RAC, Pettigrew's study pursues the Company's story beyond the trade's complete deregulation in 1712 to its demise in 1752. Opening the trade led to its escalation, which provided a reliable supply of enslaved Africans to the mainland American colonies, thus playing a critical part in entrenching African slavery as the colonies' preferred solution to the American problem of labor supply.
Following the death of his ten-year-old son, physician Peter Croft embarks on a desperate, seemingly random search for a missing child, risking his sanity, even his life in a grief-induced quest. His journey propels him into the darkest reaches of human suffering and pits him squarely against an adversary whose own obsession defies all reason. Here After is a story of love, loss, obsession and redemption, with gripping action sequences and a subtle paranormal underpinning. A compelling read from a seasoned storyteller, Costello's sixth novel will keep you reading deep into the night. Here After has been optioned to film by David Hackl, director of Saw V.