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Topological Geometry
Posted on 2010-03-16
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More Ian R. Porteous, "" The theory of affine approximation is presented as far as possiblein a basis-free form to emphasize its geometrical flavour and its linear algebra content and, from a purely practical point of view, to keep notations and proofs simple. The geometrical examples include not only projective spaces and quadrics but also Grassmannians and the orthogonal' and unitary groups. Their algebraic treatment is linked not only with a thorough treatment of quadratic and hermitian forms but also with an elementary constructive presentation of some little-known, but increasingly important, geometric algebras, the Clifford algebras. On the topological side they provide natural examples of manifolds and, particularly, smooth manifolds. The various strands of the book are brought together in a final section on Lie groups and Lie algebras. Not all books on / appear on the homepage. In order not to miss many of them follow Download Link (Ebooks section) (see top of each page on AH) and visit too :)
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