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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
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
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.
Kenneth A. Weber's story Josh Carr Meteor Strike is the first novel of the Josh Carr Saga. Written for fans of action/adventure stories who like the added elements of mysticism and science fiction, Meteor Strike takes the reader on Josh's perilous journey to save the earth and find his true destiny. For the eight years since the brutal murder of his wife Amanda, an undercover FBI agent, Josh Carr has worked as the covert asset of her mentor, FBI Special Agent in Charge Ben Keller. After a large meteor strike that should have leveled the southwestern United States, shows virtually no signs of impact, investigators go missing, Keller among them. An unknown virus attacks the livestock and resid...
A conference on Nonstandard Methods and Applications in Mathematics (NS2002) was held in Pisa, Italy from June 12-16, 2002. Nonstandard analysis is one of the great achievements of modern applied mathematical logic. In addition to the important philosophical achievement of providing a sound mathematical basis for using infinitesimals in analysis, t