## Applied mathematics: an introduction |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

According to Exercise assume boundary value calculus Chapter conclude conditions 2.1 cos2 cosh curve denote derivative determine Dirichlet principle Dirichlet problem divergence theorem dx dy equation becomes equations 1.1 Euler-Lagrange equation example Exercise 1.1 Exercise 2.1 finite rod follows formula given grad Hamiltonian form Hamiltonian system harmonic heat equation Hence infinite rod initial conditions Lagrange's equations Lagrangean linear mass maximum means minimizing function motion n-body problem Newton's law obtain partial differential equation particle physical plane polar coordinates positive preceding exercise quickest descent r x v reader region respect result right-hand side satisfies Laplace's equation satisfies the differential separation of variables Show shown in Figure side conditions solve string suppose surface Surface of revolution transformation two-body problem unique solution vanishes variables vector velocity Verify