Lectures on Partial Differential Equations

Like all of Vladimir Arnold's books, this book is full of geometric insight. He illustrates every principle with a figure. This book aims to cover the most basi... » 

Like all of Vladimir Arnold's books, this book is full of geometric insight. He illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Korteweg-de Vries equation are also discussed. Physical intuition is emphasized. «