Theory and Application of Infinite Series (Dover Books on Mathematics)
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Theory and Application of Infinite Series (Dover Books on Mathematics)
Book Details
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Author: Konrad Knopp
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Binding: Paperback
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Number of Pages: 563
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Release Date: 01-10-1990
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ISBN: 9780486661650
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Languages: English
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Package Dimensions: 8.5 x 5.4 x 1.1 inches
About the Book
"Theory of Infinite Series" by Konrad Knopp is a comprehensive and accessible exploration of a vital branch of higher analysis. Written in a clear, engaging style, this classic text is ideal for students and self-learners alike, with a solid foundation in differential and integral calculus. The book's clarity makes it suitable for both course work and independent study.
Professor Knopp begins with an essential introduction to the theory of real numbers, setting the stage for the deeper exploration of sequences and infinite series, which are the book's central focus. The book divides the theory of infinite series into two parts:
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Classical Theory: The foundations and developments leading to the modern understanding of infinite series.
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19th Century Developments: Later advancements and innovations that expanded the theory and applications of infinite series.
Key features include:
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Clear illustrations of theoretical concepts, emphasizing their application over pure theory.
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Carefully selected exercises throughout the book, reinforcing the practical use of the concepts presented.
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Well-suited for self-study as well as course work, with pedagogical clarity drawn from the author’s extensive teaching background at universities in Berlin and Königsberg.
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Aimed at advanced students familiar with the basics of calculus, providing a deep dive into the more intricate aspects of infinite series.
This authoritative volume, crafted from Knopp’s lectures and extensive teaching experience, offers an invaluable resource for anyone serious about higher analysis and mathematical theory. Whether you are a student or a mathematician, this book will deepen your understanding and enhance your ability to apply these complex theories effectively.
