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.
By:
John Milnor, James D. Stasheff Imprint: Princeton University Press Country of Publication: United States Volume: 80 Dimensions:
Height: 235mm,
Width: 152mm,
Spine: 21mm
Weight: 454g ISBN:9780691081229 ISBN 10: 0691081220 Series:Annals of Mathematics Studies Pages: 340 Publication Date:29 October 1974 Audience:
Professional and scholarly
,
College/higher education
,
Undergraduate
,
Primary
Format:Paperback Publisher's Status: Active
Reviews for Characteristic Classes. (AM-76), Volume 76
John Willard Milnor, Winner of the 2011 Leroy P. Steele Prize for Lifetime Achievement, American Mathematical Society John Milnor, Winner of the 2011 Abel Prize from the Norwegian Academy of Science and Letters