This is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.
Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute?not always needed, but indispensable when it is. The author?s goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations. Solving Transcendental Equations is unique in that it is the first book to describe the Chebyshev-proxy rootfinder, which is the most reliable way to find all zeros of a smooth function on the interval, and the very reliable spectrally enhanced Weyl bisection/marching triangles method for bivariate rootfinding, and it includes three chapters on analytical methods?explicit solutions, regular pertubation expansions, and singular perturbation series (including hyperasymptotics)?unlike other books that give only numerical algorithms for solving algebraic and transcendental equations. This book is written for specialists in numerical analysis and will also appeal to mathematicians in general. It can be used for introductory and advanced numerical analysis classes, and as a reference for engineers and others working with difficult equations.
Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.
This book is the first comprehensive introduction to the theory of equatorially-confined waves and currents in the ocean. Among the topics treated are inertial and shear instabilities, wave generation by coastal reflection, semiannual and annual cycles in the tropic sea, transient equatorial waves, vertically-propagating beams, equatorial Ekman layers, the Yoshida jet model, generation of coastal Kelvin waves from equatorial waves by reflection, Rossby solitary waves, and Kelvin frontogenesis. A series of appendices on midlatitude theories for waves, jets and wave reflections add further material to assist the reader in understanding the differences between the same phenomenon in the equatorial zone versus higher latitudes.
John Anthony Caruso's The Appalachian Frontier, first published in 1959, captures the drama and sweep of a nation at the beginning of its westward expansion. Bringing to life the region's history from its earliest seventeenth-century scouting parties to the admission of Tennessee to the Union in 1796, Caruso describes the exchange of ideas, values, and cultural traits that marked Appalachia as a unique frontier. Looking at the rich and mountainous land between the Ohio and Tennessee Rivers, The Appalachian Frontier follows the story of the Long Hunters in Kentucky; the struggles of the Regulators in North Carolina; the founding of the Watauga, Transylvania, Franklin, and Cumberland settlements; the siege of Boonesboro; and the patterns and challenges of frontier life. While narrating the gripping stories of such figures as Daniel Boone, George Rogers Clark, and Chief Logan, Caruso combines social, political, and economic history into a comprehensive overview of the early mountain South. In his new introduction, John C. Inscoe examines how this work exemplified the so-called consensus school of history that arose in the United States during the cold war. Unabashedly celebratory in his analysis of American nation building, Caruso shows how the development of Appalachia fit into the grander scheme of the evolution of the country. While there is much in The Appalachian Frontier that contemporary historians would regard as one-sided and romanticized, Inscoe points out that "those of us immersed so deeply in the study of the region and its people sometimes tend to forget that the white settlement of the mountain south in the eighteenth century was not merely the chronological foundation of the Appalachian experience. As Caruso so vividly demonstrates, it is also represented a vital--even defining--stage in the American progression across the continent." The Author: John Anthony Caruso was a professor of history at West Virginia University. He died in 1997. John C. Inscoe is professor of history at the University of Georgia. He is editor of Appalachians and Race: The Mountain South from Slavery to Segregation and author of Mountain Masters: Slavery and the Sectional Crisis in Western North Carolina.
Environmental issues in the USA are more important now than ever before. The devastation inflicted by Hurricane Katrina, growing evidence of global warming, and a struggling national energy supply highlight the unfolding crisis. Environmental fears translate into US automobile giants plying consumers with 'fuel efficient' cars in the 'MPG Lounge' of sales. Politicians talk of energy independence and getting tough on polluters. Fears gravitate around a fast-approaching doomsday scenario, an environmental endgame, of wholesale collapse, unless something is done.Yet fears of doomsday are nothing new. John Wills shows how the current environmental crisis is firmly rooted in the past. As well as explaining how today's problems are manifestations of older systems of economics, culture and politics, he also argues that America has already witnessed a range of 'doomsday scenarios,' both real and imagined. He identifies and explores a cast of 'doomsday landscapes' that includes the Battle of the Wilderness in Virginia, the Santa Barbara Oil Spill, the 'Fable for Tomorrow' town featured in Rachel Carson's Silent Spring (1962), and Nevada's Doom Towns 1 and 2 blown apart by atomic testing in the 1950s. He reflects on contemporary ruminations over whether nature as a category endures given both the rising contamination of the US landscape and consumer proclivity for celebrating fake mementos of the outdoors (such as plastic lawn flamingos and artificial plants). And most significantly, he poses the question of whether Americans have been inviting doomsday through their long-term environmental actions.
A revisionist view of the Revolution's most crucial year... it explodes many of the myths surrounding Burgoyne's Canadian expedition and Howe's Pennsylvania campaign. There is a wealth of fascinating detail in this book, including information on arms and supplies, rations for women camp followers, and even the numbers of carts (30-odd) carrying Burgoyne's luggage." --History Book Club Newsletter
An exciting and accurate portrayal of the military action in the southern colonies that led to a new American nation. A companion to Pancake’s study of the northern campaign, 1777: The Year of the Hangman, this volume deals with the American Revolution in the Carolinas. Together, the two books constitute a complete history of the Revolutionary War. Pancake tells a gripping story of the southern campaign, the scene of a grim and deadly guerilla war. In the savage internecine struggle, Americans fought Americans with a fierceness that appalled even a veteran like General Nathanael Greene. "Utilizing extensive manuscript collections, John Pancake explains not why the colonists won the War of Independence, but rather why the British lost. Yorktown, he argues, was not the result of a momentary oversight by the British navy, but the final consequence of the longstanding failure of British military and political leadership." So said the Journal of Southern History when This Destructive War was first published in 1985. The Florida Historical Quarterly further opined, "Pancake has given us a well-researched and beautifully—and tightly—written book." General readers as well as scholars and students of the American Revolution will welcome anew this classic, definitive study of the campaign in the Carolinas.
The Civil War should be seen as America's 'bourgeois revolution'. So argues Dr John Ashworth in this novel reinterpretation, from a Marxist perspective, of American political and economic development in the forty years before the Civil War. This book, the first of a two-volume treatment of slavery, capitalism and politics, locates the political struggles of the antebellum period in the international context of the dismantling of unfree labor systems. With its sequel, the volume will demonstrate that the conflict resulted from differences between capitalist and slave modes of production. With a careful synthesis of existing scholarship on the economics of slavery, the origins of abolitionism, the proslavery argument and the second party system, Ashworth maintains that the origins of the American Civil War are best understood in terms derived from Marxism.
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