@article{1442718,
      recid = {1442718},
      author = {Bourchtein, Ludmila, and Bourchtein, Andrei,},
      title = {Theory of infinite sequences and series /},
      publisher = {Birkhäuser,},
      address = {Cham, Switzerland :},
      pages = {1 online resource},
      year = {2022},
      abstract = {This textbook covers the majority of traditional topics of  infinite sequences and series, starting from the very  beginning the definition and elementary properties of  sequences of numbers, and ending with advanced results of  uniform convergence and power series. The text is aimed at  university students specializing in mathematics and natural  sciences, and at all the readers interested in infinite  sequences and series. It is designed for the reader who has  a good working knowledge of calculus. No additional prior  knowledge is required. The text is divided into five  chapters, which can be grouped into two parts: the first  two chapters are concerned with the sequences and series of  numbers, while the remaining three chapters are devoted to  the sequences and series of functions, including the power  series. Within each major topic, the exposition is  inductive and starts with rather simple definitions and/or  examples, becoming more compressed and sophisticated as the  course progresses. Each key notion and result is  illustrated with examples explained in detail. Some more  complicated topics and results are marked as complements  and can be omitted on a first reading. The text includes a  large number of problems and exercises, making it suitable  for both classroom use and self-study. Many standard  exercises are included in each section to develop basic  techniques and test the understanding of key concepts.  Other problems are more theoretically oriented and  illustrate more intricate points of the theory, or provide  counterexamples to false propositions which seem to be  natural at first glance. Solutions to additional problems  proposed at the end of each chapter are provided as an  electronic supplement to this book.},
      url = {http://library.usi.edu/record/1442718},
      doi = {https://doi.org/10.1007/978-3-030-79431-6},
}