"The writing style of this book is accessible, clear, and student friendly. It is approachable, with plenty of motivation for new students, and integrates nonlinear PDEs throughout. Shearer and Levy are familiar with contemporary research in applied PDEs and have made an excellent selection of topics to introduce the field."--John K. Hunter, University of California, Davis
"The material is presented in a new and innovative way, stressing more modern ideas in PDEs while keeping the approach accessible. Superior illustrations accompany important concepts, and the anecdotes and examples throughout the book will keep students interested. Shearer and Levy are both highly regarded researchers and educators in the field."--David Uminsky, University of San Francisco