m820 Calculus of variations and advanced calculus PDF
396 Pages·2011·2.7256 MB·other
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Preview m820 Calculus of variations and advanced calculus
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Notes: Course notes for Open University course M820
The calculus of variations and advanced calculus.Contents:
Chapter 1 Preliminary analysis --Chapter 2 Ordinary differential equations --
Chapter 3 The calculus of variations --
Chapter 4 The Euler-Legrange equation --
Chapter 5 Applications of the Euler-Legrange equation --
Chapter 6 Further theoretical developments --
Chapter 7 Symmetries and Noether's theorem --
Chapter 8 The second variation --
Chapter 9 Parametric functionals --
Chapter 10 Variable end points --
Chapter 11 Conditional stationary points --
Chapter 12 Constrained variational problems --
Chapter 13 Sturm-Liouville systems --
Chapter 14 The Rayleigh-Ritz method --
Chapter 15 Solutions to exercises.
Responsibility: D. Richards.
The calculus of variations and advanced calculus.Contents:
Chapter 1 Preliminary analysis --Chapter 2 Ordinary differential equations --
Chapter 3 The calculus of variations --
Chapter 4 The Euler-Legrange equation --
Chapter 5 Applications of the Euler-Legrange equation --
Chapter 6 Further theoretical developments --
Chapter 7 Symmetries and Noether's theorem --
Chapter 8 The second variation --
Chapter 9 Parametric functionals --
Chapter 10 Variable end points --
Chapter 11 Conditional stationary points --
Chapter 12 Constrained variational problems --
Chapter 13 Sturm-Liouville systems --
Chapter 14 The Rayleigh-Ritz method --
Chapter 15 Solutions to exercises.
Responsibility: D. Richards.
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