This is a clear, rigorous and self-contained introduction to PDEs for a semester-based course on the topic. For the sake of smooth exposition, the book keeps the amount of applications to a minimum, focusing instead on the theoretical essentials and problem solving. The result is an agile compendium of theorems and methods – the ideal companion for any student tackling PDEs for the first time.

• Comprehensible introduction to the theory of PDEs.
• Reader-friendly rigour throughout.
• Systematic use of modern mathematical software.