By Loring W. Tu
In this streamlined creation to the topic, the speculation of manifolds is gifted with the purpose of aiding the reader in attaining a speedy mastery of the fundamental subject matters. via the tip of the e-book the reader may be in a position to compute, no less than for easy areas, probably the most uncomplicated topological invariants of a manifold, its de Rham cohomology. alongside the way in which, the reader acquires the information and talents worthwhile for extra research of geometry and topology. The needful point-set topology is incorporated in an appendix of twenty pages; different appendices evaluation evidence from actual research and linear algebra. tricks and ideas are supplied to a number of the workouts and problems.
This paintings can be used because the textual content for a one-semester graduate or complicated undergraduate path, in addition to through scholars engaged in self-study. Requiring in basic terms minimum undergraduate necessities, 'Introduction to Manifolds' can also be an outstanding beginning for Springer's GTM eighty two, 'Differential types in Algebraic Topology'.
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