I'm taking a first course in PDEs this term (I'm a physics student) and we are using "Beginning Partial Differential Equations" by Peter V. O'Neil, which I find almost unreadable. Can anyone recommend a good book appropriate for an introductory PDE course? I have taken a standard ODE and standard multivariable calculus course previous. The focus of the course is fairly applied, i.e. there is an emphasis on finding solutions to first and second order linear and quasilinear equations, particularly those important in physics (wave equation, diffusion equation, etc.). There are few proofs and the question of well-posedness is given only a quick treatment. Thanks.