Modern methods of field theory. Volume 1. Geometry and classic fields. 2nd edition, fixed, stereotypical. Sardanashvili G.A.

Geometric methods are widely used both in classic and quantum field models. This book considers the classical theory of field, the mathematical apparatus of which, unlike the quantum theory of the field, can be considered quite developed. At the same time, the main emphasis is not on the field models themselves, quickly replacing one another, but on those mathematical methods in which most of these models are based. The first chapter of the book is devoted to the consideration of the basic concepts of differential geometry. The second chapter describes the geometric theory of the field, the third - topological characteristics in the theory of field.

The book is addressed to mathematicians, mechanics, physicists to scientists, teachers, graduate students and students.