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Continued Fractions. (Record no. 79837)

MARC details
000 -LEADER
fixed length control field 03472nam a22004573i 4500
001 - CONTROL NUMBER
control field EBC3330383
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729125049.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s1963 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780883859261
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780883856093
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3330383
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3330383
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10729354
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)929120429
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA295 -- .O43 1963eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 513.26
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Olds, Carl D.
245 10 - TITLE STATEMENT
Title Continued Fractions.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Washington :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 1963.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©1963.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (171 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Anneli Lax New Mathematical Library ;
Volume/sequential designation v.9
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Front Cover -- Continued Fractions -- Copyright Page -- Contents -- Preface -- Chapter 1. Expansion of Rational Fractions -- 1.1 Introduction -- 1.2 Definitions and Notation -- 1.3 Expansion of Rational Fractions -- 1.4 Expansion of Rational Fractions (General Discussion) -- 1.5 Convergents and Their Properties -- 1.6 Differences of Convergents -- 1.7 Some Historical Comments -- Chapter 2. Diophantine Equations -- 2.1 Introduction -- 2.2 The Method Used Extensively by Euler -- 2.3 The Indeterminate Equation ax - by = ±1 -- 2.4 The General Solution of ax - by = c, (a, b) = 1 -- 2.5 The General Solution of ax + by = c, (a, b) = 1 -- 2.6 The General Solution of Ax ± By = ±C -- 2.7 Sailors, Coconuts, and Monkeys -- Chapter 3. Expansion of Irrational Numbers -- 3.1 Introduction -- 3.2 Preliminary Examples -- 3.3 Convergents -- 3.4 Additional Theorems on Convergents -- 3.5 Some Notions of a Limit -- 3.6 Infinite Continued Fractions -- 3.7 Approximation Theorems -- 3.8 Geometrical Interpretation of Continued Fractions -- 3.9 Solution of the Equation x2 = ax + 1 -- 3.10 Fibonacci Numbers -- 3.11 A Method for Calculating Logarithms -- Chapter 4. Periodic Continued Fractions -- 4.1 Introduction -- 4.2 Purely Periodic Continued Fractions -- 4.3 Quadratic Irrationals -- 4.4 Reduced Quadratic Irrationals -- 4.5 Converse of Theorem 4.1 -- 4.6 Lagrange's Theorem -- 4.7 The Continued Fraction for N -- 4.8 Pell's Equation, x2 - Ny2 = ±1 -- 4.9 How to Obtain Other Solutions of Pell's Equation -- Chapter 5. Epilogue -- 5.1 Introduction -- 5.2 Statement of the Problem -- 5.3 Hurwitz' Theorem -- 5.4 Conclusion -- Appendix I. Proof That x2 - 3y2 = - 1 Has No Integral Solutions -- Appendix II. Some Miscellaneous Expansions -- Solutions to Problems -- References -- Index.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Continued fractions.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Series.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Olds, Carl D.
Title Continued Fractions
Place, publisher, and date of publication Washington : American Mathematical Society,c1963
International Standard Book Number 9780883856093
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Anneli Lax New Mathematical Library
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330383">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330383</a>
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