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Download Diophantus of Alexandria; a study in the history of Greek algebra epub

by Thomas Little Heath,Leonhard Euler

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Download Diophantus of Alexandria; a study in the history of Greek algebra epub
ISBN: 117769414X
ISBN13: 978-1177694148
Category: History
Subcategory: Europe
Author: Thomas Little Heath,Leonhard Euler
Language: English
Publisher: Nabu Press (August 25, 2010)
Pages: 402 pages
ePUB size: 1779 kb
FB2 size: 1166 kb
Rating: 4.9
Votes: 367
Other Formats: lrf mbr rtf lrf

This book is quite a gem.
Gold Crown
A treasury of early algebraic techniques with wonderful commentary and chapters in later advances in number theory, particulary Fermat.
This wonderful book may be one of the most important arithmetic books ever translated into the English language. Even remarkable translators like Heath and many of the most famous mathematicians who have read or studied Diophantus's book were not convinced that Diophantus ("D.") possessed formalized systematic methods and techniques for solving the wide variety and diversity of often highly complicated and complex basic algebra problems which he presents and solves.
I am not a member of the community of mathematicians. I am only a hobbyist. Nevertheless, I am convinced that professor Andrew Wiles' attempt* to solve "Fermat's Last Theorem", brought that important problem to the forefront and also resurrected interest in this amazing and mysterious book. Mathematics and mathematicians owe Professor Wiles a great debt which will eventually be recognized. I am totally in the dark as to what: Iwasawa's theory is, what modular forms are, what Galois representations are and what the Shimura-Taniyama conjecture is. None of these mathematical: theories, conjectures, forms, ideas nor techniques existed in the 1600's. I do not nor would I ever question the importance, validity, accuracy, nor the correctness of Professor Wile's achievement.
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 translations. He covers in some detail the development of the uses of many various Greek mathematical terms and many of the various pertinent ancient mathematical symbols. Then comes his translation of the book (the problems and their solutions - many of techniques which "D." employed remain mysterious. After all, "book 2 (chapter 2) problem #8 continues to remain the clue to "Fermat's Last Theorem" 's proof - if there ever was one expressed in the mathematics of Fermat's time. Diophantus's book is for the truly dedicated scholars and hobbyists who may still be searching for a proof for "F.L.T" couched in the mathematics of his time.
*Marilyn vos Savant ( with all due respect to Dr. Wiles' work) in her book , "The World's Most Famous Math Problem", points out that Dr. Wiles' proof is not Fermat's claimed proof.