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Life in the old South has always fascinated Americans--whether in the mythical portrayals of the planter elite from fiction such as Gone With the Wind or in historical studies that look inside the slave cabin. Now Brenda E. Stevenson presents a reality far more gripping than popular legend, even as she challenges the conventional wisdom of academic historians. Life in Black and White provides a panoramic portrait of family and community life in and around Loudoun County, Virginia--weaving the fascinating personal stories of planters and slaves, of free blacks and poor-to-middling whites, into a powerful portrait of southern society from the mid-eighteenth century to the Civil War. Loudoun Co...
Shows how T S Eliot's early views on literary value and authenticity - and his later repudiation of those views - reflect the profound changes regarding the understanding of literature and its significance that occurred in the early part of the twentieth century.
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The first comprehensive introduction to the powerful moment approach for solving global optimization problems.
This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. It includes standard material such as direct methods for solving linear systems and least-squares problems, error, stability and conditioning, basic iterative methods and the calculation of eigenvalues. Later chapters cover more advanced material, such as Krylov subspace methods, multigrid methods, domain decomposition methods, multipole expansions, hierarchical matrices and compressed sensing. The book provides rigorous mathematical proofs throughout, and gives algorithms in general-purpose language-independent form. Requiring only a solid knowledge in linear algebra and basic analysis, this book will be useful for applied mathematicians, engineers, computer scientists, and all those interested in efficiently solving linear problems.
Over forty years of teaching experience are distilled into this text. The guiding principle is the wide use of the concept of intermediate asymptotics, which enables the natural introduction of the modeling of real bodies by continua. Beginning with a detailed explanation of the continuum approximation for the mathematical modeling of the motion and equilibrium of real bodies, the author continues with a general survey of the necessary methods and tools for analyzing models. Next, specific idealized approximations are presented, including ideal incompressible fluids, elastic bodies and Newtonian viscous fluids. The author not only presents general concepts but also devotes chapters to examining significant problems, including turbulence, wave-propagation, defects and cracks, fatigue and fracture. Each of these applications reveals essential information about the particular approximation. The author's tried and tested approach reveals insights that will be valued by every teacher and student of mechanics.
This book offers a practical presentation of stochastic partial differential equations arising in physical applications and their numerical approximation.
A pedagogical review of the mathematical modelling in fluid dynamics necessary to understand the motility of most microorganisms on Earth.
This book explores a wide range of singular phenomena, providing mathematical tools for understanding them and highlighting their common features.
Practical introduction for advanced undergraduate or beginning graduate students of applied mathematics, developed at the University of Oxford.