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The Calculus of Variations in the Large

About this Title

M. Morse

Publication: Colloquium Publications
Publication Year: 1934; Volume 18
ISBNs: 978-0-8218-1018-7 (print); 978-1-4704-3166-2 (online)
DOI: https://doi.org/10.1090/coll/018
MathSciNet review: MR1451874
MSC: Primary 58E30; Secondary 01A75, 49-03, 58-03

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Table of Contents

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Chapters

• Chapter I. The fixed end point problem in non-parametric form
• Chapter II. General end conditions
• Chapter III. The index form
• Chapter IV. Self-adjoint systems
• Chapter V. The functional on a Riemannian space
• Chapter VI. The critical sets of functions
• Chapter VII. The boundary problem in the large
• Chapter VIII. Closed extremals
• Chapter IX. Solution of the Poincaré continuation problem