Get An Introduction to Manifolds (Universitext) PDF

By Loring W. Tu

Manifolds, the higher-dimensional analogs of gentle curves and surfaces, are primary items 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 swift mastery of the basic subject matters. by means of the top of the publication the reader can be in a position to compute, at the least for easy areas, probably the most simple topological invariants of a manifold, its de Rham cohomology. alongside the way in which, the reader acquires the information and talents useful for additional research of geometry and topology. The considered necessary point-set topology is incorporated in an appendix of twenty pages; different appendices evaluate proof from actual research and linear algebra. tricks and ideas are supplied to the various workouts and problems.

This paintings can be used 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 basically minimum undergraduate must haves, 'Introduction to Manifolds' is usually a great origin for Springer's GTM eighty two, 'Differential kinds in Algebraic Topology'.

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

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