Variational Analysis / Dover Books on Mathematics (ePub)
Critical Extremals and Sturmian Extensions
(Sprache: Englisch)
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...
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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 physicsthe 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.
Author Marston Morse is renowned for his development of a version of variational theory with applications to equilibrium problems in mathematical physicsthe 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.
Autoren-Porträt von Marston Morse
Marston Morse
Bibliographische Angaben
- Autor: Marston Morse
- 2013, 272 Seiten, Englisch
- Verlag: Guilford Publications
- ISBN-10: 0486153223
- ISBN-13: 9780486153223
- Erscheinungsdatum: 30.01.2013
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- Größe: 8.98 MB
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Englisch
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