Exact Sequences in the Algebraic Theory of Surgery
by Andrew Ranicki
Publisher: Princeton University Press 1981
Number of pages: 881
One of the principal aims of surgery theory is to classify the homotopy types of manifolds using tools from algebra and topology. The algebraic approach is emphasized in this book, and it gives the reader a good overview of the subject, as it was known at the time of publication.
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Many science and engineering problems can be rephrased as optimization problems on matrix search spaces endowed with a manifold structure. This book shows how to exploit the structure of such problems to develop efficient numerical algorithms.
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