Diophantus of Alexandria
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Diophantus of Alexandria a study in the history of Greek algebra. by Heath, Thomas Little Sir

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Published by Dover Publications in New York .
Written in English

Subjects:

  • Diophantus, of Alexandria,
  • Mathematics, Greek,
  • Fermat"s theorem

Book details:

Edition Notes

ContributionsEuler, Leonhard, 1707-1783.
Classifications
LC ClassificationsQA31.D52 H4 1964
The Physical Object
Paginationvi, 387 p.
Number of Pages387
ID Numbers
Open LibraryOL5916068M
LC Control Number64018851
OCLC/WorldCa1342699

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Again in Book VI he solves problems such as finding x such that simultaneously 4x + 2 is a cube and 2x + 1 is a square (for which he easily finds the answer x = 3/2). Another type of problem which Diophantus studies, this time in Book IV, is to find powers between given limits. Diophantus was a Hellenistic Greek (or possibly Egyptian, Jewish or even Chaldean) mathematician who lived in Alexandria during the 3rd Century CE. He is sometimes called “the father of algebra”, and wrote an influential series of books called the “Arithmetica”, a collection of algebraic problems which greatly influenced the subsequent development of number theory.5/5(26).   Diophantus's book (text book) is wonderful if one wants to learn about Greek mathematics by puzzling through and by attempting to follow how he solved a lot of complex, complicated algebra problems. It is a scholarly book. Heath briefly goes through the histories of the various by:   Diophantus, Alexandria, Mathematics, Greek, Fermat's theorem Publisher Cambridge: University Press Collection cdl; americana Digitizing sponsor MSN Contributor University of California Libraries Language EnglishPages:

Diophantus of Alexandria Arithmetica Book I @ 27 November 1 Notation Diophantus’s Arithmetica1 is a list of about algebraic problems with so-lutions. In it he introduced algebraic manipulations on equations including a symbol for one unknown (probably following other authors in Alexandria).File Size: KB. Diophantus of Alexandria: a study in the history of Greek algebra. With a suppl. containing an account of Fermat's theorems and problems connected with Diophantine analysis and some solutions of Diophantine problems by Euler by Thomas Little Heath (Book).   Diophantus Of Alexandria book. Read reviews from world’s largest community for readers. This scarce antiquarian book is a facsimile reprint of the origin 4/5(7). Arithmetica (Greek: Ἀριθμητικά) is an Ancient Greek text on mathematics written by the mathematician Diophantus in the 3rd century AD. It is a collection of algebraic problems giving numerical solutions of determinate equations (those with a unique solution) and indeterminate equations.

DIOPHANTUS OF ALEXANDRIA (fl.. AD. ) mathematics.. Since the publication of Kurt Voge’s article “Diophantus of Alexandria” in volume IV of the Dictionary, our knowledge of the Arithmetica has been increased significantly by the discovery of four new books in Arabic translation.. The manuscript, which seems to be a unicum, is Codex of the Shrine Library in Meshed. This book features a host of problems, the most significant of which have come to be called Diophantine equations. These are equations whose solutions must be whole numbers. For example, Diophantus asked for two numbers, one a square and the other a cube, such Read More; Waring’s problem. In Waring's problem Diophantus of Alexandria’s. Diophantus is known as the father of algebra. Roughly five centuries after Euclid’s era, he solved hundreds of algebraic equations in his great work Arithmetica, and was the first person to use algebraic notation and symbolism.. Today we usually indicate the unknown quantity in algebraic equations with the letter x. Internet Archive BookReader Diophantus of Alexandria; a study in the history of Greek algebra.