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Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold. (MN-16)

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by Marston Morse
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Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold. (MN-16) by Marston Morse

This book builds upon the revolutionary discovery made in 1974 that when one passes from function f to a function J of paths joining two points A1≠A1 the connectivities R1 of the domain of f can be replaced by connectivities R1 over Q, common to the pathwise components of a basic Frechet space of classes of equivalent curves joining A1 to A1. The connectivities R1, termed "Frechet numbers," are proved independent of the choice of A1 ≠ A1, and of a replacement of Mn by any differential manifold homeomorphic to Mn.

Originally published in 1976.

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Ebook Details
Pages: 270
Size: 5.4 MB
Publisher: Princeton University Press
Date published:   2015
ISBN: 9781400870431 (DRM-PDF)

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Nonfiction > Mathematics > Calculus

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Nonfiction > Mathematics > Mathematical Analysis
Nonfiction > Mathematics > Calculus
Nonfiction > Mathematics > Topology

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