HIGHER MATHEMATICS FOR ENGINEERING STUDENTS
PART 2: ADVANCED TOPICS OF MATHEMATICAL ANALYSIS

The idea of designing this three-part problem book belongs to Professor B. Demidovich, but his early death prevented him from putting it into practice. The book was prepared by a group of us, some of whom have had long pedagogical experience lecturing higher mathematics to engineering students. We have tried to do our best to develop and realize the ideas and plans of the late Professor Demidovich.

The present book (Part 2) entitled “Advanced Topics of Mathematical Analysis” consists of six chapters (8 to 13) and includes the topics which, as a rule, are studied during the third and fourth semesters of the course. Among them are: multiple integrals (Chapter 8), differential equations (Chapter 9), vector analysis (Chapter 10), theory of functions of a complex variable (Chapter 11), series and their applications (Chapter 12) and operational calculus (Chapter 13).

The same as in Part 1, each chapter is supplied with answers to all the computational problems. The answers are given at the end of each chapter. Those problems marked with an * are provided with hints and the ones with **, with solutions to be found with answers.

Each section in all chapters is supplied with a brief introduction containing both the relevant theoretical material (definitions, formulas, and theorems) and a plenty of thoroughly worked examples.