Theory of Infinite Sequences and Series

Sequences of numbers.- Series of numbers.- Sequences of functions.- Series of functions.- Power series.

LUDMILA BOURCHTEIN is Professor Emeritus and Senior Research Scientist at the Institute of Physics and Mathematics, Federal University of Pelotas, Brazil. She received her Ph.D. in Mathematics from Saint Petersburg State University, Russia. During the span of 34 years at the Mathematics Institute, Far East State University, Russia, she held different positions, from Assistant Professor, Associate Professor, to the rank of Full Professor. In the last 15 years, she served as Associate and Full Professor at the Institute of Physics and Mathematics, Federal University of Pelotas, where she was conferred with the title of Emeritus Professor in 2019. An author of more than 80 referred articles and 6 books, her research interests include real and complex analysis, conformal mappings and numerical analysis. During her research career, she was awarded a number of grants of Russian and Brazilian science foundations and scientific societies, including the International MathematicalUnion (IMU) and the International Council for Industrial and Applied Mathematics (ICIAM).

ANDREI BOURCHTEIN is Professor at the Institute of Physics and Mathematics, Federal University of Pelotas, Brazil. He received his Ph.D. in Mathematics and Physics from the Hydrometeorological Center of Russia. He began his academic and research career as an Associate Professor at Mathematics Institute, Far East State University, Russia, and a Research Scientist at the Hydrometeorological Institute, Russia. In 1995, he joined the Federal University of Pelotas, Brazil, as Associate Professor at the Institute of Physics and Mathematics before being promoted to Full Professor. An author of more than 100 refereed articles and 8 books, Prof. Bourchtein's research interests include real and complex analysis, numerical analysis, computational fluid dynamics and numerical weather prediction. During his research career, he was awarded a number of grants from Brazilian science foundations and scientific

"The text contains a large number of problems and exercises, which should make it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic techniques and to test the understanding of concepts. ... Many additional problems are proposed as homework tasks at the end of each chapter." (Hüseyin Çakalli, zbMATH 1523.40001, 2023)