Theory of Infinite Sequences and Series is popular PDF and ePub book, written by Ludmila Bourchtein in 2021-11-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Theory of Infinite Sequences and Series can be Read Online from any device for your convenience.
Theory of Infinite Sequences and Series Book PDF Summary
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.
Detail Book of Theory of Infinite Sequences and Series PDF
- Author : Ludmila Bourchtein
- Release : 13 November 2021
- Publisher : Springer Nature
- ISBN : 9783030794316
- Genre : Mathematics
- Total Page : 388 pages
- Language : English
- PDF File Size : 8,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Theory of Infinite Sequences and Series by Ludmila Bourchtein, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.
