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  • Infinite Sequences and Series (Dover Books on Mathematics)

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Infinite Sequences and Series (Dover Books on Mathematics) First Edition

by Konrad Knopp (Author)
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One of the finest expositors in the field of modern mathematics, Dr. Konrad Knopp here concentrates on a topic that is of particular interest to 20th-century mathematicians and students. He develops the theory of infinite sequences and series from its beginnings to a point where the reader will be in a position to investigate more advanced stages on his own. The foundations of the theory are therefore presented with special care, while the developmental aspects are limited by the scope and purpose of the book.
All definitions are clearly stated; all theorems are proved with enough detail to make them readily comprehensible. The author begins with the construction of the system of real and complex numbers, covering such fundamental concepts as sets of numbers and functions of real and complex variables. In the treatment of sequences and series that follows, he covers arbitrary and null sequences; sequences and sets of numbers; convergence and divergence; Cauchy's limit theorem; main tests for sequences; and infinite series. Chapter three deals with main tests for infinite series and operating with convergent series. Chapters four and five explain power series and the development of the theory of convergence, while chapter six treats expansion of the elementary functions. The book concludes with a discussion of numerical and closed evaluation of series.
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  1. ISBN-10
    0486601536
  2. ISBN-13
    978-0486601533
  3. Edition
    First Edition
  4. Publisher
    Dover Publications
  5. Publication date
    June 1, 1956
  6. Part of series
    Dover Books on Mathematics
  7. Language
    English
  8. Dimensions
    5.5 x 0.5 x 8 inches
  9. Print length
    208 pages
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Konrad Knopp

Konrad Knopp

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3.9 out of 5 stars
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  • Denis Jaisson
    5.0 out of 5 stars good reference
    Reviewed in Germany on May 7, 2019
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    Most known series are there
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    5.0 out of 5 stars Nicely written; suitable for sr undergrads
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    Nicely written; suitable for sr undergrads. The production was a bit sloppy - the text runs right into the binding (i.e. almost no margins) so that the end of each line is unreadable.
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