Applied Mathematics for Engineers: Special Courses. Advanced Mathematics in the Applied Sciences Program. Book 2

The book is a textbook on special chapters of mathematics for technical universities and is a natural continuation of the general course of mathematics of the same author, although it is read independently. The book contains the following chapters: field theory, theory of analytical functions, operational calculus, linear algebra, tensors, variational calculus, integral equations and ordinary differential equations. The presentation is carried out from the standpoint of modern applied mathematics with the maximum use of intuition and analogies, with special attention to a qualitative and quantitative description of the facts. The manual is designed for students of universities, teachers, engineers and scientists in the field of technical sciences. It can also be useful to physicists and other specialists dealing with applied mathematics