Variational Analysis by Marston Morse

Variational Analysis by Marston Morse

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Variational Analysis by Marston Morse

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.
SKU Nicht verfügbar
ISBN 13 9780486457871
ISBN 10 0486457877
Titel Variational Analysis
Autor Marston Morse
Serie Dover Books On Mathematics
Buchzustand Nicht verfügbar
Bindungsart Paperback
Verlag Dover Publications Inc.
Erscheinungsjahr 2007-06-05
Seitenanzahl 260
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar