03553nam 2200481 450 99646641690331620230717141446.03-030-96615-1(MiAaPQ)EBC6935544(Au-PeEL)EBL6935544(CKB)21418288200041(PPN)261525522(EXLCZ)992141828820004120221106d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierAl-Kashi's Miftaḥ al-ḤisabVolume 3 translation and commentary : Algebra /Nuh Aydin, Lakhdar Hammoudi, Ghada BakboukCham, Switzerland :Springer,[2022]©20221 online resource (285 pages)Print version: Aydin, Nuh Al-Kashi's Miftah Al-Hisab, Volume III: Algebra Cham : Springer International Publishing AG,c2022 9783030966140 Includes bibliographical references.Intro -- Preface -- Contents -- Introduction -- A Biography of al-Kashı and a Brief History -- Al-Kashı's Letters: Invaluable Source -- Ulugh Beg in al-Kashı's Letters -- Samarkand in al-Kashı's letters: Center of Knowledge -- List of al-Kashı'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.Fourth 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.AlgebraÀlgebrathubLlibres electrònicsthubAlgebra.Àlgebra512Aydin Nuh780928Bakbouk GhadaHammoudi LakhdarMiAaPQMiAaPQMiAaPQBOOK996466416903316Al-Kashi's Miftah Al-Hisab1921390UNISA