Partial Differential Equations

• Vector fields and ordinary differential equations.- Partial differential equations in engineering.- The single first-order quasi-liner PDE.- Shock waves.- The genuinely nonlinear first-order equation.- The second-order quasi-linear equation.- Systems of equations.- The one-dimensional wave equation.- Standing waves and separation of variables.- The diffusion equation.- The Laplace equation.

“The book would be accessible to strong undergraduates with some multivariable calculus, basic linear algebra and ordinary differential equations. The author provides references at each stage to several of the standard texts, including those of Garabedian and John. This would be a good textbook for an introduction to PDEs or as a supplement to a more standard mathematical treatment.” (William J. Satzer, MAA Reviews, maa.org, July, 2017)