Mathematical Analysis. Functions of Several Variables

Authors

Nataliia Chikina
National Technical University "Kharkiv Polytechnic Institute", Ukraine
https://orcid.org/0000-0002-0643-1771
Iryna Antonova
National Technical University "Kharkiv Polytechnic Institute", Ukraine
https://orcid.org/0000-0002-1268-8223

Keywords:

functions of several variables, multiple integrals, line integrals, surface integrals, higher mathematics, engineering education, electronic study guide

Synopsis

The study guide covers the main sections of mathematical analysis of functions of several variables, namely: Limit Theory, Differential Calculus, and Integral Calculus. It presents the fundamental concepts and theoretical principles, and examines the main types of problems from key topics of the Higher Mathematics course, including «Functions of Several Variables», «Multiple Integrals», and «Line and Surface Integrals». Worked examples are provided with explanations, commentary, and colour illustrations, making the guide highly suitable for self-study.

Intended for students of engineering and technical disciplines at higher education institutions, as well as for those who are self-studying or engaged in applied aspects of mathematical analysis.

Author Biographies

Nataliia Chikina, National Technical University "Kharkiv Polytechnic Institute"

Ph.D. in Technical Sciences, Associate Professor, Professor at the Department of Higher Mathematics

Iryna Antonova, National Technical University "Kharkiv Polytechnic Institute"

Ph.D. in Technical Sciences, Associate Professor, Associate Professor at the Department of Higher Mathematics

Обкладинка

Published

April 28, 2026

Details about this monograph

ISBN-13 (15)

978-617-05-0616-0