Record Nr.

UNISA996466416903316

Autore

Aydin Nuh

Titolo

Al-Kashi's Miftaḥ al-Ḥisab . Volume 3 : translation and commentary : Algebra / / Nuh Aydin, Lakhdar Hammoudi, Ghada Bakbouk

Pubbl/distr/stampa


Cham, Switzerland : , : Springer, , [2022]
©2022

ISBN

3-030-96615-1

Descrizione fisica

1 online resource (285 pages)

Disciplina

512

Soggetti

Algebra

Àlgebra

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.