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Continued Fractions

List Price: $15.00
SKU:
9780486696300
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  • Product Details

    Author:
    A. Ya. Khinchin
    Series:
    Dover Books on Mathematics
    Format:
    Paperback
    Pages:
    112
    Publisher:
    Dover Publications (May 14, 1997)
    Language:
    English
    ISBN-13:
    9780486696300
    ISBN-10:
    0486696308
    Weight:
    4.88oz
    Dimensions:
    5.5" x 8.5"
    Case Pack:
    68
    File:
    Dover-Dover_05022026_P10034514_onix30_Complete-20260501.xml
    As low as:
    $14.25
    List Price:
    $15.00
    Publisher Identifier:
    P-DOVER
    Discount Code:
    D
    Audience:
    College/higher education
    Pub Discount:
    65
    Imprint:
    Dover Publications
    Folder:
    Dover
  • Overview

    In this elementary-level text, eminent Soviet mathematician A. Ya. Khinchin offers a superb introduction to the positive-integral elements of the theory of continued functions, a special algorithm that is one of the most important tools in analysis, probability theory, mechanics, and, especially, number theory.
    Presented in a clear, straightforward manner, the book comprises three major chapters: the properties of the apparatus, the representation of numbers by continued fractions and the measure theory of continued fractions. The last chapter is somewhat more advanced and deals with the metric, or probability, theory of continued fractions, an important field developed almost entirely by Soviet mathematicians, including Khinchin.
    The present volume reprints an English translation of the third Russian edition published in 1961. It is not only an excellent introduction to the study of continued fractions, but a stimulating consideration of the profound and interesting problems of the measure theory of numbers.