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Welcome to Real Analysis
Welcome to Real Analysis is designed for use in an introductory undergraduate course in real analysis. Much of the development is in the setting of the general metric space. The book makes substantial use not only of the real line and $n$-dimensional Euclidean space, but also sequence and function spaces. Proving and extending results from single-variable calculus provides motivation throughout. The more abstract ideas come to life in meaningful and accessible applications. For example, the contraction mapping principle is used to prove an existence and uniqueness theorem for solutions of ordinary differential equations and the existence of certain fractals; the continuity of the integration...
The Georgians
"This is a collection of 283 genealogies which I have compiled over a period of twenty years as a professional genealogist. ... While I have dealt with some of Oglethorpe's settlers, the vast majority of the genealogies included in this collection deal with Georgians who descend from settlers from other states."--Note to the Reader.
Official Record
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Official Record
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The Dunning School
From the late nineteenth century until World War I, a group of Columbia University students gathered under the mentorship of the renowned historian William Archibald Dunning (1857–1922). Known as the Dunning School, these students wrote the first generation of state studies on the Reconstruction—volumes that generally sympathized with white southerners, interpreted radical Reconstruction as a mean-spirited usurpation of federal power, and cast the Republican Party as a coalition of carpetbaggers, freedmen, scalawags, and former Unionists. Edited by the award-winning historian John David Smith and J. Vincent Lowery, The Dunning School focuses on this controversial group of historians and ...
