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Characteristic Classes. (AM-76), Volume 76 (Paperback)
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Characteristic Classes. (AM-76), Volume 76 (Paperback)
Series: Annals of Mathematics Studies
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The theory of characteristic classes provides a meeting ground for
the various disciplines of differential topology, differential and
algebraic geometry, cohomology, and fiber bundle theory. As such,
it is a fundamental and an essential tool in the study of
differentiable manifolds. In this volume, the authors provide a
thorough introduction to characteristic classes, with detailed
studies of Stiefel-Whitney classes, Chern classes, Pontrjagin
classes, and the Euler class. Three appendices cover the basics of
cohomology theory and the differential forms approach to
characteristic classes, and provide an account of Bernoulli
numbers. Based on lecture notes of John Milnor, which first
appeared at Princeton University in 1957 and have been widely
studied by graduate students of topology ever since, this published
version has been completely revised and corrected.
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