LEADER 01231oam 2200409zu 450 001 996280029903316 005 20210807002729.0 010 $a1-4673-2597-X 010 $a1-4673-2596-1 035 $a(CKB)3280000000025422 035 $a(SSID)ssj0001106304 035 $a(PQKBManifestationID)12375606 035 $a(PQKBTitleCode)TC0001106304 035 $a(PQKBWorkID)11074571 035 $a(PQKB)10324176 035 $a(NjHacI)993280000000025422 035 $a(EXLCZ)993280000000025422 100 $a20160829d2012 uy 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$a2012 3rd IEEE PES Innovative Smart Grid Technologies Conference Europe 210 31$a[Place of publication not identified]$cIEEE$d2012 215 $a1 online resource 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-4673-2595-3 606 $aElectric networks$vCongresses 615 0$aElectric networks 676 $a621.3192 702 $aIEEE Staff 801 0$bPQKB 906 $aPROCEEDING 912 $a996280029903316 996 $a2012 3rd IEEE PES Innovative Smart Grid Technologies Conference Europe$92534806 997 $aUNISA LEADER 03553nam 2200481 450 001 996466416903316 005 20230717141446.0 010 $a3-030-96615-1 035 $a(MiAaPQ)EBC6935544 035 $a(Au-PeEL)EBL6935544 035 $a(CKB)21418288200041 035 $a(PPN)261525522 035 $a(EXLCZ)9921418288200041 100 $a20221106d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAl-Kashi's Miftah? al-H?isab$hVolume 3 $etranslation and commentary : Algebra /$fNuh Aydin, Lakhdar Hammoudi, Ghada Bakbouk 210 1$aCham, Switzerland :$cSpringer,$d[2022] 210 4$d©2022 215 $a1 online resource (285 pages) 311 08$aPrint version: Aydin, Nuh Al-Kashi's Miftah Al-Hisab, Volume III: Algebra Cham : Springer International Publishing AG,c2022 9783030966140 320 $aIncludes bibliographical references. 327 $aIntro -- Preface -- Contents -- Introduction -- A Biography of al-Kash? and a Brief History -- Al-Kash?'s Letters: Invaluable Source -- Ulugh Beg in al-Kash?'s Letters -- Samarkand in al-Kash?'s letters: Center of Knowledge -- List of al-Kash?'s Known Works -- Manuscript Copies of Miftah -- Pedagogical Aspects of Miftah -- Possible Future Projects -- Notes on Translation and the Purpose of This Work -- Original Table of Contents of The Fifth Treatise -- The Fifth Treatise -- First Chapter: On Algebra -- First Section: On Definitions and Terminology -- Second Section: On the Addition of Monomials -- Third Section: On Subtraction -- Fourth Section: On Multiplication of Polynomials -- Fifth Section: On the division of terms by each other -- Sixth Section: On the extraction of the roots of these expressions and the square root of any power -- Seventh Section: On Algebraic Problems -- Eight Section: On How to Find the Unknown in the Mentioned Six Known Problems -- Ninth Section: On How to Extract the Unknown -- Tenth Section: On What We Promised to Mention -- Second Chapter: On Finding the Unknown using the Rule of Double False Position -- Third Chapter: On Including some Arithmetic Rules that are much Needed for Finding the Unknowns -- The First Rule -- The Second Rule -- The Third Rule -- The Fourth Rule -- The Fifth Rule -- The Sixth Rule -- The Seventh Rule -- The Eighth Rule -- The Ninth Rule -- The Tenth-Twelfth Rules -- The Thirteenth-Fifteenth Rules -- The Sixteenth Rule -- The Seventeenth-Twenty-First Rules -- The Twenty-Second-Twenty-Sixth Rules -- The Twenty-Seventh-Twenty-Ninth Rules -- The Thirtieth-Thirty-Third Rules -- The Thirty-Fourth-Thirty-Seventh Rules -- The Thirty-Eighth-Thirty-Ninth Rules -- The Fortieth-Forty-First Rules -- The Forty-Second-Forty-Fifth Rules -- The Forty-Sixth-Forty-Ninth Rules -- The Fiftieth Rule. 327 $aFourth Chapter: On Examples -- First Section: Twenty-Five Examples -- Second Section: Eight Examples on Wills -- Third Section: Eight Examples in Which the Unknown is Found Using Geometric Rules -- Glossary -- Bibliography. 606 $aAlgebra 606 $aÀlgebra$2thub 608 $aLlibres electrònics$2thub 615 0$aAlgebra. 615 7$aÀlgebra 676 $a512 700 $aAydin$b Nuh$0780928 702 $aBakbouk$b Ghada 702 $aHammoudi$b Lakhdar 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466416903316 996 $aAl-Kashi's Miftah Al-Hisab$91921390 997 $aUNISA