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Book Categories |
| Preface and summary | ||
| Remarks on notation | ||
| Pt. 1 | One-dimensional variational problems | 1 |
| 1 | The classical theory | 3 |
| 2 | A geometric example: geodesic curves | 32 |
| 3 | Saddle point constructions | 62 |
| 4 | The theory of Hamilton and Jacobi | 79 |
| 5 | Dynamic optimization | 104 |
| Pt. 2 | Multiple integrals in the calculus of variations | 115 |
| 1 | Lebesgue measure and integration theory | 117 |
| 2 | Banach spaces | 125 |
| 3 | L[superscript p] and Sobolev spaces | 159 |
| 4 | The direct methods in the calculus of variations | 183 |
| 5 | Nonconvex functionals. Relaxation | 205 |
| 6 | [Gamma]-convergence | 225 |
| 7 | BV-functionals and [Gamma]-convergence: the example of Modica and Mortola | 241 |
| App. A | The coarea formula | 257 |
| App. B | The distance function from smooth hypersurfaces | 262 |
| 8 | Bifurcation theory | 266 |
| 9 | The Palais-Smale condition and unstable critical points of variational problems | 291 |
| Index | 319 |
| Price | Condition | Delivery | Seller | Action |
| $120.00 | Digital |
| WonderClub |
Sam Johnson
reviewed Calculus of Variations on March 11, 2012
Calculus of Variations
One of the best book I ever read!
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