There are some men in the pages of history, whose greatness no person of common sense thinks of disputing. They tower above the herd of mankind, like the Pyramids, the Parthenon, and the Colosseum, among buildings. Such men were Luther and Augustine, Gustavus Adolphus and George Washington, Columbus and Sir Isaac Newton. He who questions their greatness must be content to be thought very ignorant, very prejudiced, or very eccentric. Public opinion has come to a conclusion about them-they were great men.
But there are also great men whose reputation lies buried under a heap of contemporary ill-will and misrepresentation. The world does not appreciate them, because the world does not know their real worth. Their characters have come down to us through poisoned channels. Their portraits have been drawn by the ill-natured hand of enemies. Their faults have been exaggerated. Their excellences have been maliciously kept back and suppressed. Like the famous sculptures of Nineveh, they need the hand of some literary Layard to clear away the rubbish that has accumulated round their names, and show them to the world in their fair proportions. Such men were Vigilantius and Wickliffe. Such men were Oliver Cromwell and many of the Puritans. And such a man was George Whitefield.
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This collection of literature attempts to compile many classics that have stood the test of time and offer them at a reduced, affordable price in an attractive volume so that everyone can enjoy them.
This survey highlights the recent advances in algorithms for numerical linear algebra that have come from the technique of linear sketching, whereby given an n X d matrix A, one first compresses A to an m X d matrix S - A, where S is a certain m X n random matrix with m " n. Much of the expensive computation is then performed on S - A, thereby accelerating the solution for the original problem involving A. This book considers least squares as well as robust regression problems, low rank approximation, and spectral sparsification. It also discusses a number of variants of these problems. Finally, it discusses the limitations of this method.
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