Description

Book Synopsis

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 c



Table of Contents
*Frontmatter, pg. i*Contents, pg. iv*Introduction, pg. vii*PART I. The Weierstrass integral J, pg. 1*Part II. The Euler Equations, pg. 34*Part III. Minimizing arcs, pg. 92*PART IV. Preparation for Global Theorems, pg. 125*PART V. Global Theorems, pg. 173*Appendices, pg. 217*Bibliography, pg. 244*INDEX OF TERMS, pg. 252

Global Variational Analysis

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    A Paperback by Marston Morse

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      Publisher: Princeton University Press
      Publication Date: Publication Date: 2/16/2015 12:00:00 AM
      ISBN13: 9780691617251, 978-0691617251
      ISBN10: 0691617252

      Description

      Book Synopsis

      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 c



      Table of Contents
      *Frontmatter, pg. i*Contents, pg. iv*Introduction, pg. vii*PART I. The Weierstrass integral J, pg. 1*Part II. The Euler Equations, pg. 34*Part III. Minimizing arcs, pg. 92*PART IV. Preparation for Global Theorems, pg. 125*PART V. Global Theorems, pg. 173*Appendices, pg. 217*Bibliography, pg. 244*INDEX OF TERMS, pg. 252

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