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The Universal History of Numbers: From Prehistory to the Invention of the Computer Hardcover – 2000

4.3 out of 5 stars 24 customer reviews

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Product Details

  • Hardcover: 656 pages
  • Publisher: Wiley; 1 edition (2000)
  • Language: English
  • ISBN-10: 0471375683
  • ISBN-13: 978-0471375685
  • Product Dimensions: 9.2 x 2 x 10.1 inches
  • Shipping Weight: 3.6 pounds
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (24 customer reviews)
  • Amazon Best Sellers Rank: #717,449 in Books (See Top 100 in Books)

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Customer Reviews

Top Customer Reviews

Format: Hardcover
The scope of this book is simply unbelievable. Everything you've ever seen about numbers, plus everything you ever wanted to know, and then numbering systems you never even knew existed. Nothing short of fantastic.
A major expansion of Ifrah's earlier work, From One to Zero, the tone is a bit more scholarly than Lowell Bair's (the original translator's) relaxed style in the 1981 original, which makes you feel like you're having a chat with your professor. I really got the impression that Ifrah wanted a more serious work this time; something that could be consulted by experts. I'm not panning the book for this; it just makes for different reading. Plus, the addition of an index certainly makes the book easier to use for research.
Another nice addition was the increased use of typography for non-European text. While Ifrah's effort in hand-drawing everything in the 1981 version was admirable, it feels a bit strange reading handwritten characters in languages he doesn't know (Chinese, for example). Real fonts (like the ones used for Arabic) were a wise investment.
The section on gematria (using the numerical values of letters for divination, wordplay, etc.) is another reason to pick this book up. It seems that if people try hard enough, they can make just about anything into '666'. ^_^; He also went into detail about how different cultures actually did (and do) arithmetic -- mighty interesting stuff for math students and teachers even today!
In short, this is the world's definitive work on numerals. You simply won't find anything better, anywhere.
Also highly recommended: Number Words and Number Symbols by Karl Menninger, published by Dover Books.
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By A Customer on January 12, 2000
Format: Hardcover
In reading texts on history of numbers, one often finds books that suffer from partial viewpoints colored by cultural ignorances and biases. None of that here. One thing this book can't be accused of is superficiality. This book is simply awesome in its breadth and depth. Ifrah has successfully taken each culture's contribution to numbers and presented it with amazing clarity and perspective.
This version has many more improvements from its earlier incarnation titled From one to Zerowhich was a very remarkable book too.
Also a very good and natural introduction to doing math in number systems with different bases!
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Format: Hardcover
Simply the best book on numbers I've read. Many other books on numbers are replete with inaccuracies and exaggerations based on cultural and educational biases. Not here. Ifrah's chapter on the India's contribution to numbers and how the Sanskrit language was used to communicate numbers is simply spectacular. A must read for anyone interested in mathematics.
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Format: Hardcover
This book is getting raves from intelligent readers who are not
experts in the history of numbers. But it sure isn't getting good reviews from experts. A group of scholars in France was disturbed by the uncritical popularity of the French edition,
and released a report calling the French edition "historically
unacceptable, a deception." [Bulletin de l'Association des
Professeurs de Mathematiques de l'Enseignement Publique 399 June 1995)] (I got this quote from Joseph Dauben's book review.)
More recently, in the January 2002 and February 2002 issues of
the Notices of the American Mathematical Society, Joseph Dauben
of Lehman College at CUNY critiqued the English tranlations of this book and its companion, "The Universal History of Computing." Professor Dauben consulted a number of experts in specialties such as the history of Arabic mathematics, Hindu mathematics, Mesopotamian mathematics, Chinese mathematics, and Mayan mathematics. His review is skeptical.
I'll quote various lines from Dauben's January review:
"...he[Ifrah]either wrote to the wrong experts, was indifferent to their responses, or was not prepared to settle for their inconclusive results and the tentative nature of their research."
"...Ifrah offers nothing but certainties." (when writing about
the Hindu-Arabic number system)
"[James]Ritter simply declares all of this to be false, due to an erroneous conflation of sources. First of all, he takes Ifrah's list to be a contrived amalgamation of names coming from
all epochs." (James Ritter is an Assyriologist at Universite de Paris VIII, the quote is about Ifrah's conclusions about Sumerian numbers.)
Read Professor Dauben's review. Afterwards, George Ifrah's fun-to-read, plausible book won't count for as much.
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Format: Hardcover
This book is an enjoyable as well as an encyclopedic work, referencing an immense amount of historical material in great detail.

I have read Dauben's critical review. His criticisms doesn't have much real substance and included 'retorts' from other scholars. Dauben brings up Ang and Lam's work, which he himself qualifies as being controversial, to criticize Ifrah's exhaustive work.

In response to Richard Peterson's comment below, Ifrah's book is far too scholarly and encyclopedic to say that it "won't count for as much". If someone else were to attempt the same subject, the result would be a book that is very close to that of Ifrah's book. It is a thoroughly valid work.
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