This text explores the mathematical models that lead to first-order partial differential equations. The author, Hyun-Ku Rhee, presents motivations, classifications, and methods of solution for these equations, focusing on linear and semilinear types. The book is designed to be usable on its own, despite being the first volume of a two-part series. It includes exercises at the end of most sections to reinforce the material.

This volume is recognized as a highly regarded text within its field. The detailed exploration of mathematical models and solution methods for partial differential equations suggests a rigorous academic approach. Its inclusion of exercises and illustrations indicates a pedagogical design aimed at student comprehension. The text is structured to provide a comprehensive understanding of first-order partial differential equations.