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

Format:

Book

Author/Creator:

Morse, Marston, author.

Series:

Mathematical notes (Princeton University Press) ; 16.

Mathematical Notes ; 1367

Language:

English

Subjects (All):

Differentiable manifolds.

Global analysis (Mathematics).

Calculus of variations.

Physical Description:

1 online resource (269 pages).

Edition:

1st ed.

Place of Publication:

Princeton, NJ : Princeton University Press, [2015]

Language Note:

In English.

Summary:

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 editions preserve the original texts of these important books while presenting them in durable paperback and hardcover 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.

Contents:

Frontmatter

Contents

Introduction

PART I. The Weierstrass integral J

Part II. The Euler Equations

Part III. Minimizing arcs

PART IV. Preparation for Global Theorems

PART V. Global Theorems

Appendices

Bibliography

INDEX OF TERMS

Backmatter

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9780691617251

0691617252

9780691644400

0691644403

9781400870431

1400870437

OCLC:

1011445923