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Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem.
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The polarizing literary debut by Scottish author Ian Banks, The Wasp Factory is the bizarre, imaginative, disturbing, and darkly comic look into the mind of a child psychopath. Meet Frank Cauldhame. Just sixteen, and unconventional to say the least: Two years after I killed Blyth I murdered my young brother Paul, for quite different and more fundamental reasons than I'd disposed of Blyth, and then a year after that I did for my young cousin Esmerelda, more or less on a whim. That's my score to date. Three. I haven't killed anybody for years, and don't intend to ever again. It was just a stage I was going through.