Lecture Notes on Geometrical Aspects of Partial Differential Equations (Soviet and East European Mathematics)

This book focuses on properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of the infinite-dimensional differential geometry. The treatment is very informal and the theory is illustrated by various examples from mathematical physics. All necessary information about the infinite-dimensional geometry is given in the text. This book focuses on the properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of infinite-dimensional differential geometry. The treatment is very informal and the theory is illustrated by various examples from mathematical physics. All necessary information about the infinite-dimensional geometry is given in the text.