Modern geometry methods and applications book depository. The present book is the outcome of a reworking, reordering, and ex tensive elaboration of the abovementioned lecture notes. It is the authors view that it will serve as a basic text from which the essentials for a course in modern geometry may be easily extracted. Modern geometry methods and applications av b a dubrovin. Burns theres some great material that professor novikov presents in this three volume set, indispensible to the mathematician and physicist. Modern geometry methods and applications springerlink. Dubrovin, 9780387976631, available at book depository with free delivery worldwide. Fomenko, differential geometry and topology kirwan, frances c. Burns over the past fifteen years, the geometrical and topological methods of the theory of manifolds have assumed a central role in the most advanced areas of pure and applied mathematics as well as. The second volume picks up on the detailed theory of manifolds and topology and other advanced theories of differential geometry, including homotopy groups, lie algebras and digressing into physical theories as well eg.
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