Over the past fifteen years, the geometrical and topological
methods of the theory of manifolds have as- sumed a central role in
the most advanced areas of pure and applied mathematics as well as
theoretical physics. The three volumes of Modern Geometry - Methods
and Applications contain a concrete exposition of these methods
together with their main applications in mathematics and physics.
This third volume, presented in highly accessible languages,
concentrates in homology theory. It contains introductions to the
contemporary methods for the calculation of homology groups and the
classification of manifesto. Both scientists and students of
mathematics as well as theoretical physics will find this book to
be a valuable reference and text.
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