โ Scribed by Viktor Viktorovich Zharinov
No coin nor oath required. For personal study only.
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.
๐ SIMILAR VOLUMES
This section is devoted to basic concepts in partial differential equations. We start the chapter with definitions so that we are all clear when a term like linear partial differential equation (PDE) or second order PDE is mentioned. After that we give a list of physical problems that can be modelle
The author has worked for 4 years (1993 1996) at the University of Sicgcn in the group of Applied and Numerical Mathematics. His stay was supported by a DFG scholarship and by a guest professorship from the University of Sicgcn. During this time, this lecture was held for graduate students.The group
Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold 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