This is the second edition of this best selling problem book for
students, now containing over 400 completely solved exercises on
differentiable manifolds, Lie theory, fibre bundles and Riemannian
manifolds. The exercises go from elementary computations to rather
sophisticated tools. Many of the definitions and theorems used
throughout are explained in the first section of each chapter where
they appear. A 56-page collection of formulae is included which can
be useful as an aide-memoire, even for teachers and researchers on
those topics. In this 2nd edition: * 76 new problems * a section
devoted to a generalization of Gauss' Lemma * a short novel section
dealing with some properties of the energy of Hopf vector fields *
an expanded collection of formulae and tables * an extended
bibliography Audience This book will be useful to advanced
undergraduate and graduate students of mathematics, theoretical
physics and some branches of engineering with a rudimentary
knowledge of linear and multilinear algebra.
General
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