Variational Analysis: Critical Extremals and Sturmian Extensions (Dover Books on Mathematics) - Softcover

Morse, Marston

Softcover

ISBN 10: 0486457877 ISBN 13: 9780486457871

Verlag: Dover Publications Inc., 2007

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Dover Publications Inc.
• Erscheinungsdatum: 2007
• Sprache: Englisch
• ISBN 10: 0486457877
• ISBN 13: 9780486457871
• Einband: Taschenbuch
• Anzahl der Seiten: 260
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italien