The book combines two interrelated lines of research. One of them is devoted to the development of the theory for solving a certain class of three-dimensional electromagnetic field problems of the three-dimensional electromagnetic field, taking into account eddy currents in a moving conducting magnetizing body. Preference is given to the development of the analytical solution methods of the three-dimensional quasi-stationary problem of field conjugation in the system: a contour of an arbitrary spatial configuration with an alternating current is conducting body with a flat boundary surface. The second direction refers to the development of mathematical models for solving applied problems, which involve the use of developed methods for calculating the electromagnetic field and their characteristics. The main application of calculation methods is aimed at solving problems of heat treatment non-ferrous and ferrous metal products using the induction method of heating in a transverse magnetic field. The inverse problems are solved to determine the inductor configuration as flat and spatial current contours for providing the necessary temperature distribution of moving metal strips. To achieve uniform heating of strips across the width using inductors in the form of flat current contours parallel to the strip surface, it is advisable to use combinations of current contours, where the geometric dimensions are determined by the size and electro-physical parameters of the metal strips. A more uniform temperature distribution during high-frequency induction heating is achieved by using inductors in the form of current contours of the required spatial configuration.

The book is intended for researchers, postgraduate students, and students specialized in theory and calculations of electromagnetic fields and induction heating installations.

Prof. Ihor Kondratenko is working as Head of Department of Electromagnetic Systems, Institute of Electrodynamics, National Academy of Sciences of Ukraine. He graduated from the Faculty of Electroacoustics, National Technical University of Ukraine, Kyiv Polytechnic Institute (1978) and post-graduated in Institute of Electrodynamics (1986). He obtained his Ph.D. in 1987 and Dr. Sc. in 2005. He has been Corresponding Member of the National Academy of Sciences of Ukraine since 2015. He received the State Prize of Ukraine in the field of science and technology in 2018. He is laureate of V. Khrushchev (2010) and G.F.Proskura (2014). The main profession activity during from 1979 to the present time is associated with the Institute of Electrodynamics, National Academy of Sciences of Ukraine. He has published 6 monographs in electrical engineering, over 260 articles in international and national journals and at conferences. 

Prof. Yuriy Vasetsky is working as Chief Researcher in Electromagnetic Systems Department, Institute of Electrodynamics, National Academy of Sciences of Ukraine. He graduated from the Electric Power Faculty in Moscow Power Engineering Institute (Technical University) (1973) and post-graduated in Institute of Electrodynamics (1979). He obtained his Ph.D. in 1981 and Dr. Sc. in 1995. He is laureate of G.F.Proskura Award of NAS of Ukraine. The main profession activity during from 1979 to the present time is associated with the Institute of Electrodynamics, National Academy of Sciences of Ukraine. In additional he worked as professor in Universities in Ukraine: Kyiv Commercial-Economical University (19992003, course of lectures in physics), Physic-technical Institute of the Kyiv National Technical University (20012003, course of lectures in electromagnetic theory), Chair of Applied Physics and Chair of Electrical Engineering and Lighting Engineering in National Aviation University (20032019, course of lectures in Electrodynamics and High Voltage Technology). 

Dr. Artur Zaporozhets is working as Leading Researcher in the General Energy Institute of the National Academy of Sciences of Ukraine. He graduated from the Applied Physics Department of the National Aviation University in 2013. He obtained his Ph.D. in 2017 and Dr. Sc. (Eng.) in 2022. He is a laureate of the Medal "For work and achievement" (2022), Award of the NAS of Ukraine for young scientists (2022), Award of the Verkhovna Rada of Ukraine to young scientists (2021), Award of the President of Ukraine for young scientists (2019), and others. He has published more 200 scientific works, among them 14 books in Springer, over 50 articles in international peer-reviewed journals and 60 conference proceedings. His current research interests include Energy Informatics, Power Equipment Diagnostics, Environmental Monitoring, Algorithms and Data Structures, Big Data, Data Processing.

Mathematical Models of Electromagnetic Interaction of Field Sources with Conducting Body.- Configuration of Spatial Iron-Free Inductors for High-Frequency Induction Heating of Metal Strips.- Electromagnetic Systems of Transverse Magnetic Flux with Ferromagnetic Core for Induction Heating Devices.- Electromagnetic Systems with Iron-Free Inductors for Induction Heating of Moving Strip in Transverse Magnetic Field.