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Jan 1, 1930 — —· 96 yrs

TOPOLOGY · MATHEMATICS

James R. Munkres

Also known as: James Munkres

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Suppose one is given a set V of objects, called vectors.

— from Analysis on Manifolds

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#1

Topology

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This book provides a convenient single text resource for bridging between general and algebraic topology courses. Two separate, distinct sections (one on general, point set topology, the other on algebraic topology) are each suitable for a one-semester course and are based around the same set of basic, core topics.

#2

Elementary Differential Topology Annals of Mathematics Studies Paperback

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#3

Analysis on Manifolds

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A substantial course in real analysis is an essential part of the preparation of any potential mathematician. Analysis on Manifolds is a thorough, class-tested approach that begins with the derivative and the Riemann integral for functions of several variables, followed by a treatment of differential forms and a proof of Stokes' theorem for manifolds in euclidean space. The book includes careful treatment of both the inverse function theorem and the change of variables theorem for n-dimensional integrals, as well as a proof of the Poincare lemma. Intended for students at the senior or first-year graduate level, this text includes more than 120 illustrations and exercises that range from the straightforward to the challenging . The book evolved from courses on real analysis taught by the author at the Massachusetts Institute of Technology. --back cover

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