Variational Analysis : Critical Extremals and Sturmian Extensions epub
Variational Analysis : Critical Extremals and Sturmian Extensions epub

Variational Analysis : Critical Extremals and Sturmian Extensions. Marston Morse

Variational Analysis : Critical Extremals and Sturmian Extensions
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Author: Marston Morse
Number of Pages: 260 pages
Published Date: 05 Jun 2007
Publisher: Dover Publications Inc.
Publication Country: New York, United States
Language: English
Type: Pdf
ISBN: 9780486457871
File size: 12 Mb
File Name: Variational.Analysis.Critical.Extremals.and.Sturmian.Extensions.pdf
Download Link: Variational Analysis Critical Extremals and Sturmian Extensions
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This text presents extended separation, comparison, and oscillation theorems that replace the classical analysis of Legendre, Jacobi, Hilbert, and others. Its analysis of related quadratic functionals shows how critical extremals can substitute for minimizing extremals. Author Marston Morse is renowned for his development of a version of variational theory with applications to equilibrium problems in mathematical physics--the theory known as Morse theory, which forms a vital role in global analysis. He begins this treatment of variational analysis with an extended investigation of critical extremals that proceeds to quadratic index forms, advanced and free. Additional topics include focal conditions and Sturm-like theorems, general boundary conditions, and prestructures for characteristic root theory. A helpful pair of appendixes include supplementary information on free linear conditions and subordinate quadratic forms and their complementary forms.

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