Introduction to Partial Differential Equations with MATLAB

The book "Introduction to Partial Differential Equations with MATLAB" by Jeffery M. Cooper provides a comprehensive introduction to the topic of partial differential equations (PDEs). It covers the fundamental solution methods, particularly the separation of variables, for boundary value problems with constant coefficients in geometrically simple domains. Unlike many introductions that focus solely on these core problems, this work broadens students' horizons by also addressing nonlinear problems and numerical methods. The author emphasizes the importance of integrating these topics early in the course to foster a better understanding of the relationships between analytical and numerical approaches. By using MATLAB, learners are enabled to practically apply and deepen their understanding of theoretical concepts. Thus, this book serves not only as an introduction to theory but also as a practical handbook for the application of PDEs in mathematics and the natural sciences.