An Introduction to Nonlinear Partial Differential Equations

Rating:
Summary: Nonlinear PDE's
Review: There seem to be few textbooks on this particular subject accessible to students; most deal with linear PDE's, so the book fills a gap. 'Nonlinear Partial Differential Equations' assumes the reader is already familiar with differential equations,so is not suitable as an introduction to the subject. It is written at an advanced level, but concepts are very clearly spelled out. Logan takes the reader through all the necessary mathematical steps in explaining a new concept. He does not skip steps in his analysis. Chapter One introduces canonical equations and transformations, but Logan's treatment is very sparse and there are better texts available for these subjects. Logan's book concentrates mostly on how PDE's can be reduced to ordinary differential equations via similarity methods etc. Most standard types of nonlinear systems are dealt with, including reaction diffusion processes, chemically reacting fluids and shock wave development. I like this book and that's why I bought it from Amazon, but be careful, there are one or two typing errors in the maths.