Абрашина-Жадаева Н.Г., Тимощенко И.А. Vector and Tensor Analysis through Examples and Exercises

Student manual. — Minsk: Belarusian state university (BSU), 2019. — 250 p. — ISBN 978-985-566-793-4.This textbook is written based on lecture courses and practical classes that were held at the Faculty of Physics of the Belarusian State University under the curriculum “Mathematical Analysis” and “Fundamentals of Vector and Tensor Analysis”. It is intended for foreign students of physical, mathematical, engineering-physical and engineering-technical specialties and for those who independently study mathematics in English.
The book is also for those readers who want both to understand the basics of higher mathematics and to learn how to apply them. The main emphasis in the textbook is not on the theoretical aspect, but on explanations of the fundamentals of the subject with the help of examples. The authors, using illustrative examples, show the meaning of the most difficult concepts, methods of their application, usefulness, and significance. Plenty of exercises serves as a support for mastering skills.Introduction to tensor algebra.
Differential geometry.
Scalar and vector fields.
Integral calculus of fields.
Basics of the field theory.
Solutions.
Literature.А4 формат