Global variational analysis : Weierstrass integrals on a Riemannian manifold / by Marston Morse.

9781400870431 (electronic bk.)
1400870437 (electronic bk.)
9780691617251
0691617252

Princeton, New Jersey ; Tokyo [Japan] : Princeton University Press : University of Tokyo Press, 1976.

©1976

English

In English.

1 online resource (269 pages)

10.1515/9781400870431 doi

QA614.3 .M67 1976eb

(OCoLC)905862330

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. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Includes bibliographical references and index.

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Print version record.

Mathematical notes (Princeton University Press) ; 16.

Print version: Morse, Marston, 1892-1977. Global variational analysis : Weierstrass integrals on a Riemannian manifold. Princeton, New Jersey ; Tokyo, [Japan] : Princeton University Press : University of Tokyo Press, ©1976 iii, 255 pages Mathematical notes (Princeton University Press) ; 16

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