This book is an introduction to the modern approach to the theory of Markov chains. The main goal of this approach is to determine the rate of convergence of a Markov chain to the stationary distribution as a function of the size and geometry of the state space. The authors develop the key tools for estimating convergence times, including coupling, strong stationary times, and spectral methods. Whenever possible, probabilistic methods are emphasized. The book includes many examples and provides brief introductions to some central models of statistical mechanics. Also provided are accounts of random walks on networks, including hitting and cover times, and analyses of several methods of shuffling cards. As a prerequisite, the authors assume a modest understanding of probability theory and linear algebra at an undergraduate level. Markov Chains and Mixing Times is meant to bring the excitement of this active area of research to a wide audience.
Winner of the Rea Award for Short Fiction Winner of the Mississippi Institute of Arts & Letters’ Prize for Fiction Finalist for the Frank O’Connor International Short Story Award "A rare and true master" (Richard Ford), the celebrated author of The Light in the Piazza returns with these spellbinding stories. Since her remarkable debut in 1948, Elizabeth Spencer has transfixed readers with her uncanny ability to portray how “twisted, chafing, inescapable, and life-supporting” (Alice Munro) the ties are that bind families and marriages. Here, with nine new stories, Spencer maps “the murky territory between our obligations and our desires” (David L. Ulin, Los Angeles Times), revealing the deep emotional fault lines and unseen fractures that lie just beneath the veneer of normal family life. Compared to Cheever and Hawthorne, Spencer affirms her stature as one of the outstanding living writers of the American South.
Offers insight into the lesser-known complexities of the general's personality, in a biography based on his unpublished personal correspondence and covering such topics as his early years, relationships with family and slaves, and thoughts on military str
This regional travel guide seeks out “engaging reenactments and the best exhibits, where remarkable artifacts and excellent displays bring history alive.” —Kathryn Schneider Smith, author of Washington at Home: An Illustrated History of Neighborhoods in the Nation’s Capital Few regions of the United States boast as many historically significant sites as the mid-Atlantic. Travels through American History in the Mid-Atlantic brings to life sixteen easily accessible historical destinations, and additional side trips, in Pennsylvania, Maryland, Washington, D.C., the Potomac Valley, and Virginia. Charles W. Mitchell walked these sites, interviewed historians and rangers, and read the letters and diaries of the men and women who witnessed—and at times made—history. He reveals in vivid prose the ways in which war, terrain, weather, and illness have shaped the American narrative. Each attraction, reenactment, and interactive exhibit in the book is described through the lens of the American experience, beginning in the colonial and revolutionary eras, continuing through the War of 1812, and ending with the Civil War. Mitchell contrasts the ornate decor of Philadelphia’s Independence Hall, for example, with the passionate debates that led to the Declaration of Independence, and the tranquil beauty of today’s Harpers Ferry with the trauma its citizens endured during the Civil War, when the town fell six times to opposing forces. Excerpts from eyewitness accounts further humanize key moments in the national story. Hand-drawn maps evoke the historical era by depicting the natural features that so often affected the course of events. This engaging blend of history and travel is ideal for visiting tourists, area residents seeking weekend diversions, history buffs, and armchair travelers.
Examines the events surrounding Lee's surrender to Grant at Appomattox Court House, focusing on the debate over the meaning of the Civil War that immediately followed its end.
The Mind of the Master Class tells of America's greatest historical tragedy. It presents the slaveholders as men and women, a great many of whom were intelligent, honorable, and pious. It asks how people who were admirable in so many ways could have presided over a social system that proved itself an enormity and inflicted horrors on their slaves. The South had formidable proslavery intellectuals who participated fully in transatlantic debates and boldly challenged an ascendant capitalist ('free-labor') society. Blending classical and Christian traditions, they forged a moral and political philosophy designed to sustain conservative principles in history, political economy, social theory, and theology, while translating them into political action. Even those who judge their way of life most harshly have much to learn from their probing moral and political reflections on their times - and ours - beginning with the virtues and failings of their own society and culture.
In 1901, the sculptor Augustus Saint-Gaudens proclaimed in a letter to Will Low, “Health-is the thing!” Though recently diagnosed with intestinal cancer, Saint-Gaudens was revitalized by recreational sports, having realized midcareer “there is something else in life besides the four walls of an ill-ventilated studio.” The Medicine of Art puts such moments center stage in order to consider the role of health and illness in the way art was produced and consumed. Not merely beautiful or entertaining objects, works by Gilded-Age artists such as John Singer Sargent, Abbott Thayer, and Augustus Saint-Gaudens are shown to function as balm for the ill, providing relief from physical suffering and pain. Art did so by blunting the edges of contagious disease through a process of visual translation. In painting, for instance, hacking coughs, bloody sputum, and bodily enervation were recast as signs of spiritual elevation and refinement for the tuberculous, who were shown with a pale, chalky pallor that signalled rarefied beauty rather than an alarming indication of death. Works of art thus redirected the experience of illness in an era prior to the life-saving discoveries that would soon become hallmarks of modern medical science to offer an alternate therapy. The first study to address the place of organic disease-cancer, tuberculosis, syphilis-in the life and work of Gilded-Age artists, this book looks at how well-known works of art were marked by disease and argues that art itself functioned in medicinal terms for artists and viewers in the late 19th century.
A historical account of the efforts of nine African-American students to integrate Central High School draws on interviews to offer insight into the behind-the-scenes experiences of the students and members of their community.
General Custer's wife shares her impressions of the Civil War, including the close proximity to danger and the anxious waits for her husband to return safely
Elizabeth Blair Lee was raised in Washington's political circles, and her husband, Samuel Phillips Lee, third cousin to Robert E. Lee, commanded the North Atlantic Blockading Squadron during the Civil War. When they married, Elizabeth promised to write every day they were apart. Of the hundreds of letters with which she kept her promise, Virginia Jeans Laas has edited a choice selection that illuminates the functioning of a nineteenth-century family and the Mrs. Lee's unique perspective on the political and military affairs of the nation's beleaguered capital.
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