PORTO-
FREI

Continued Fractions

von Khinchin, A Ya (Autor)

Elementary-level text by noted Soviet mathematician offers superb introduction to positive-integral elements of theory of continued fractions. Properties of the apparatus, representation of numbers by continued fractions, and more. 1964 edition.

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Inhaltsverzeichnis

Chapter I. Properties of the Apparatus 1. Introduction 2. Convergents 3.
Infinite continued fractions 4. Continued fractions with natural elements
Chapter II. The Representation of Numbers by Continued Fractions 5. Continued
fractions as an apparatus for representing real numbers 6. Convergents as best
approximations 7. The order of approximation 8. General approximation theorems
9. The approximation of algebraic irrational numbers and Liouville's
transcendental numbers 10. Quadratic irrational numbers and periodic continued
fractions Chapter III. The Measure Theory of Continued Fractions 11.
Introduction 12. The elements as functions of the number represented 13.
Measure-theoretic evaluation of the increase in the elements 14.
Measure-theoretic evaluation of the increase in the denominators of the
convergents. The fundamental theorem of the measure theory of approximation 15.
Gauss's problem and Kuz'min's theorem 16. Average values Index

Mehr vom Verlag:

Dover Publications

Mehr aus der Reihe:

Mehr vom Autor:

Khinchin, A Ya

Produktdetails

Medium:	Buch
Format:	Kartoniert
Seiten:	112
Sprache:	Englisch
Erschienen:	Mai 1997
Auflage:	Revised edition
Maße:	215 x 137 mm
Gewicht:	127 g
ISBN-10:	0486696308
ISBN-13:	9780486696300

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P_ABB: 2 text figures
Einband: Kartoniert
Auflage: Revised edition
Sprache: Englisch
Beilage(n): ,