Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a

This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most importan

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of P

This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equatio

This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theo