Get An Introduction to Manifolds (Universitext) PDF

By Loring W. Tu

Manifolds, the higher-dimensional analogs of delicate curves and surfaces, are primary gadgets in sleek arithmetic. Combining facets of algebra, topology, and research, manifolds have additionally been utilized to classical mechanics, basic relativity, and quantum box theory.

In this streamlined creation to the topic, the speculation of manifolds is gifted with the purpose of supporting the reader in achieving a speedy mastery of the fundamental themes. via the top of the publication the reader might be in a position to compute, no less than for easy areas, the most simple topological invariants of a manifold, its de Rham cohomology. alongside the best way, the reader acquires the data and talents helpful for additional learn of geometry and topology. The needful point-set topology is integrated in an appendix of twenty pages; different appendices overview proof from actual research and linear algebra. tricks and suggestions are supplied to some of the routines and problems.

This paintings can be utilized because the textual content for a one-semester graduate or complicated undergraduate direction, in addition to by way of scholars engaged in self-study. Requiring merely minimum undergraduate necessities, 'Introduction to Manifolds' can be a good origin for Springer's GTM eighty two, 'Differential types in Algebraic Topology'.

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An Introduction to Manifolds (Universitext) by Loring W. Tu

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