LEADER 02555nam 2200553Ia 450 001 9910465727303321 005 20220126211912.0 010 $a0-88385-926-2 035 $a(CKB)2560000000081419 035 $a(SSID)ssj0000742764 035 $a(PQKBManifestationID)11418408 035 $a(PQKBTitleCode)TC0000742764 035 $a(PQKBWorkID)10780160 035 $a(PQKB)10198098 035 $a(UkCbUP)CR9780883859261 035 $a(MiAaPQ)EBC3330383 035 $a(Au-PeEL)EBL3330383 035 $a(CaPaEBR)ebr10729354 035 $a(OCoLC)929120429 035 $a(EXLCZ)992560000000081419 100 $a20111006d1963 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aContinued fractions$b[electronic resource] /$fby C. D. Olds 210 $aWashington, D.C. $cMathematical Association of America$d1963 215 $a1 online resource (viii, 162 pages) $cdigital, PDF file(s) 225 0 $aAnneli Lax New Mathematical Library ;$vno. 9 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-88385-609-3 320 $aIncludes bibliographical references and index. 327 $aExpansion of rational fractions -- Diophantine equations -- Expansion of irrational numbers -- Periodic continued fractions -- Epilogue. 330 $aContinued fractions were studied by the great mathematicians of the seventeenth and eighteenth centuries and are a subject of active investigation today. Fractions of this form provide much insight into many mathematical problems — particularly into the nature of numbers — and the theory of continued fractions is a powerful tool in number theory and other mathematical disciplines. The author of this book presents an easy-going discussion of simple continued fractions, beginning with an account of how rational fractions can be expanded into continued fractions. Gradually the reader is introduced to such topics as the application of continued fractions to the solution of Diophantine equations, and the expansion of irrational numbers into infinite continued fractions. 606 $aContinued fractions 606 $aSeries 608 $aElectronic books. 615 0$aContinued fractions. 615 0$aSeries. 676 $a512.73 700 $aOlds$b C. D$g(Carl Douglas),$f1912-1979.$01074126 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910465727303321 996 $aContinued fractions$92571456 997 $aUNINA