From calculus to chaos : an introduction to dynamics
From calculus to chaos : an introduction to dynamics By D J Acheson
1997 | 278 Pages | ISBN: 0198500777 | DJVU | 8 MB
1997 | 278 Pages | ISBN: 0198500777 | DJVU | 8 MB
A guide to numerical methods for solving large sparse linear systems of equations, in particular those arising from the discretization of partial differential equations. This text covers both direct and iterative methods, including Gaussian elimination and alternating directions algorithms Brief review of calculus -- Ordinary differential equations -- Computer solution methods -- Elementary oscillations -- Planetary motion -- Waves and diffusion -- Best of all possible worlds -- Fluid flow -- Instability and catastrophe -- Nonlinear oscillations and chaos -- Not-so-simple pendulum