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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
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906   $aBOOK
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996   $aAl-Kashi's Miftah Al-Hisab$91921390
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