This text provides a clear, concise introduction to the calculus of variations. The introductory chapter provides a general sense of the subject through a discussion of several classical and contemporary examples of the subject's use.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-412-36690-1 (9780412366901)
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Schweitzer Klassifikation
Autor*in
University of Wurzburg, Darmstadt, Germany
Introduction to the problem
The Euler differential equation
Sufficient conditions for variational problems with convex integrands
The necessary conditions of Weierstrass and Legendre
The necessary condition of Jacobi
The Hilbert independence integral and sufficiency conditions
Variational problems with variable boundaries
Variational problems depending on several functions
The parametric problem
Variational problems with multiple integrals
Variational problems with side conditions
Introduction to the direct mehtods of the calculus of variations
